Journal articles: 'Static and dynamic transmission error'

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Shan, Li Jun, Yu Ting Liu, and Wei Dong He. "Analysis of Nonlinear Dynamic Accuracy on RV Transmission System ." Advanced Materials Research 510 (April 2012): 529–35. http://dx.doi.org/10.4028/www.scientific.net/amr.510.529.

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RV (Rotate Vector) transmission is a new precision transmission system. In order to improve its accuracy, we study the RV transmission system. It is researched in comprehensive factors including displacement errors, elastic deformation (static transmission error, design transmission error), gear meshing errors, backlash of gear, time-varying mesh stiffness, mesh damping, bearing stiffness, torsional stiffness of input shaft, etc. The mathematical and mechanical model of dynamic transmission accuracy is established by the concentrated mass method and the dynamic substructure method. Then, the meshing force of each part is analyzed in RV reducer. The motion differential equation of RV drive system is obtained, which lays the foundation for the calculation and analysis of the transmission error.

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Chen, Si Yu, Jin Yuan Tang, and C. W. Luo. "Effects of the Gear Tooth Modification on the Nonlinear Dynamics of Gear Transmission System." Advanced Materials Research 97-101 (March 2010): 2764–69. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.2764.

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The effects of tooth modification on the nonlinear dynamic behaviors are studied in this paper. Firstly, the static transmission error under load combined with misalignment error and modification are deduced. These effects can be introduced directly in the meshing stiffness and static transmission error models. Then the effect of two different type of tooth modification combined with misalignment error on the dynamic responses are investigated by using numerical simulation method. The numerical results show that the misalignment error has a significant effect on the static transmission error. The tooth crowning modification is generally preferred for absorbing the misalignment error by comparing with the tip and root relief. The tip and root relief can not resolve the vibration problem induced by misalignment error but the crowning modification can reduce the vibration significantly.

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Tang, Jinyuan, Zehua Hu, Siyu Chen, and Duncai Lei. "Effects of directional rotation radius and transmission error on the dynamic characteristics of face gear transmission system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 7 (August 27, 2013): 1108–18. http://dx.doi.org/10.1177/0954406213500745.

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The effects of directional rotation radius and transmission error excitation on the nonlinear dynamic characteristics of face gear transmission system are analyzed. First, the accurate time-varying mesh stiffness is calculated using finite element method, and the nonlinear motion equation of the system under static transmission error excitation is proposed. The frequency response curve, time history curve, dynamic mesh force curve and dynamic factor curve are given, and the phenomena of jump, multiple solutions and tooth impact are observed. The numerical results show that the effect of amplitude variation of directional rotation radius on the dynamic characteristics of face gear pair is less conspicuous than that of transmission error but actually existing. The amplitude of the dynamic response of face gear pair reduces to some extent with the uniform distribution of the loading area through enlarging the amplitude variation of directional rotation radius. The static transmission error excitation should be reduced to perfect the transmission property. The system is in periodic motion most of the time, and tooth impact occurs only near [Formula: see text] . Since its dynamic property at low velocity and high velocity is good, the system should get through the resonant area quickly in work.

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Dong, Hao, Libang Wang, Haoqin Zhang, and Xiao-long Zhao. "Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method." Shock and Vibration 2021 (April 15, 2021): 1–20. http://dx.doi.org/10.1155/2021/6687467.

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The torsional dynamic model of double-helical gear pair considering time-varying meshing stiffness, constant backlash, dynamic backlash, static transmission error, and external dynamic excitation was established. The frequency response characteristics of the system under constant and dynamic backlashes were solved by the incremental harmonic balance method, and the results were further verified by the numerical integration method. At the same time, the influence of time-varying meshing stiffness, damping, static transmission error, and external load excitation on the amplitude frequency characteristics of the system was analyzed. The results show that there is not only main harmonic response but also superharmonic response in the system. The time-varying meshing stiffness and static transmission error can stimulate the amplitude frequency response of the system, while the damping can restrain the amplitude frequency response of the system. Changing the external load excitation has little effect on the amplitude frequency response state change of the system. Compared with the constant backlash, increasing the dynamic backlash amplitude can further control the nonlinear vibration of the gear system.

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Podzharov, Evgeny, Vladimir Syromyatnikov, Julia Patricia Ponce Navarro, and Ricardo Ponce Navarro. "Static and Dynamic Transmissin Error in Spur Gears." Open Industrial & Manufacturing Engineering Journal 1, no. 1 (October 30, 2008): 37–41. http://dx.doi.org/10.2174/1874152500801010037.

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Özgüven, H. Nevzat, and D. R. Houser. "Dynamic analysis of high speed gears by using loaded static transmission error." Journal of Sound and Vibration 125, no. 1 (August 1988): 71–83. http://dx.doi.org/10.1016/0022-460x(88)90416-6.

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Tang, Jin-yuan, Ze-hua Hu, Li-juan Wu, and Si-yu Chen. "Effect of static transmission error on dynamic responses of spiral bevel gears." Journal of Central South University 20, no. 3 (March 2013): 640–47. http://dx.doi.org/10.1007/s11771-013-1530-y.

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Li, Zheng, and K. Mao. "The Tooth Profile Modification in Gear Manufacture." Applied Mechanics and Materials 10-12 (December 2007): 317–21. http://dx.doi.org/10.4028/www.scientific.net/amm.10-12.317.

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The gear design always be focus on analyzing the static performance (strength, stress, friction) and dynamic performance (inertia, noise, vibration), and especially for dynamic, the noise and vibration of gear are big problems. Actually, the main reason of noise and vibration is transmission error between master and slave gears, but the error must exist in any manufacture process. To decrease harmful noise and vibration, the most effective method is “tooth profile modification”, which is by tip relief or root relief for modifying geometry profile of gear tooth to regulate transmission error. In the paper, the transmission error of original model and modified model will be compared to show the gear profile modification will influence the transmission error obviously.

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Chen, Zaigang, and Yimin Shao. "Dynamic features of planetary gear train with tooth errors." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 10 (September 15, 2014): 1769–81. http://dx.doi.org/10.1177/0954406214549503.

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As one of the inherited displacement excitation sources which are related to the gear vibration and noise problems, gear transmission error always consists of two parts: gear tooth geometric error and tooth elastic deformation under transmitted load. The gear tooth geometric errors were directly employed as the displacement excitations in previous papers, which are not accurate. In this paper, a new method is developed to transform the gear tooth errors (TEs) to be the appropriate dynamic excitations through the mesh stiffness and the unloaded static transmission error (USTE), where the obtained displacement excitation curves, namely the USTE curves, are very different from the TE curves. Incorporation of the proposed model into the dynamic model of a planetary gear train enables the investigation of the TE effect on the dynamic excitations and vibrations. Two groups of TEs with different amplitudes are employed in the case studies. The results verify that the micro-scale TEs influence not only the dynamic displacement excitation, but also the total mesh stiffness and the planetary gear vibrations greatly.

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Tang, Jin Yuan, Qi Bo Wang, and Cai Wang Luo. "Study on Effect of Surface Friction on the Dynamic Behaviours of Cylindrical Gear Transmission." Advanced Materials Research 139-141 (October 2010): 2316–21. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.2316.

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The effect of surface friction on the dynamic response of spur gear pair is investigated in this paper. Firstly, surface friction during the mesh is described briefly, and realistic time-varying tooth stiffness and realistic static transmission error are introduced. Subsequently, the differential equation of the torsional vibration of gear transmission is developed in which the realistic time-varying stiffness and realistic static transmission error are incorporated. Finally, using the numerical simulation method, the solutions in time domain and spectrum graphs of the nonlinear system are obtained. Results show that surface friction has great influences on the dynamic responses nearby the pitch point but less influences far away the pitch point. Surface friction may also bring sudden change to the dynamic responses at pitch point when the rotational speed is low.

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Guo, Jia Shun, San Min Wang, and Hai Xia Liu. "Life Estimation of Tilt-Rotor Transmission Based on Dynamic Analysis." Applied Mechanics and Materials 86 (August 2011): 788–91. http://dx.doi.org/10.4028/www.scientific.net/amm.86.788.

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Transmission influences on the performance and the security of tilt-rotor directly. A transmission-wing coupling dynamic model including time-varying mesh stiffness and static transmission error was proposed, then calculated the dynamic loads of the transmission-wing coupling system under two flight modes: aircraft and helicopter. Then, computed the life of transmission under different system reliability based on the dynamic loads. This paper presents a more accurate transmission life estimation method. The results present some useful informations for dynamic optimization of the transmission and provide a theoretical basis for the transmission design.

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Pajkoš, Michal, Viktor Šlapák, Radovan Sivý, and František Ďurovský. "Measurement of Transmission Nonlinearities in Servodrives." Applied Mechanics and Materials 613 (August 2014): 248–52. http://dx.doi.org/10.4028/www.scientific.net/amm.613.248.

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Paper presents transmission nonlinearities of servodrives. These nonlinearities directly affect the performance and precision of industrial machines such as robots, manipulators, NC machine tools etc. For measuring purpose of these nonlinearities a measurement test bench was created. Presented measuring test bench is used for static and dynamic measurements of servodrives as well as for precision and gear error evaluation. Paper focuses on properties, analysis and experimental measurements of angular transmission error, torsional elasticity and repeated position accuracy.

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Li, Zhengminqing, Hao Wang, and Rupeng Zhu. "Effect predictions of web active control on dynamic behaviors of face gear drives." Journal of Low Frequency Noise, Vibration and Active Control 38, no. 2 (January 7, 2019): 753–64. http://dx.doi.org/10.1177/1461348418821587.

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Face gear dynamics is addressed by many scholars, and vibration suppression of face gear drives is always one of study focuses of face gear dynamics. However, vibration active control solutions of face gear drives are still yet to be constructed. Thus, in the study, a web active control solution of face gear drives, in which face gear web structures are employed to achieve static transmission error active control, is proposed, and a web circumference deformation calculation solution is constructed, as well as a four-degrees of freedom dynamic model of face gear drives is established, and two version control methods of static transmission error are presented. Furthermore, an example case of face gear drives associated with the proposed web active control solution is simulated. The results indicate that effects of the proposed web active control solution on dynamic behaviors of face gear drives are significant, and the fidelity of the proposed web active control solution could be accepted. These contributions would benefit to improve face gear vibrations and engineering applications of face gear drives.

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14

Tong, Qing Bin, Chao Qun Jiao, Tao Ning, and Xiao Dong Zhang. "Harmonic Gear Reducer Transmission Error Analysis and Detection." Advanced Materials Research 711 (June 2013): 375–80. http://dx.doi.org/10.4028/www.scientific.net/amr.711.375.

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Harmonic gear reducer is the key component of the electric servo system, its transmission error analysis and testing play a crucial role in the development, production, testing, assembly of gear reducer. According to the thin shell elastics deformation theory, the harmonic transmission principle is analyzed, and the harmonic transmission error sources. The calculation of transmission error is further discussed; the transmission error formula of harmonic gear reducer considering the case of gear backlash and stiffness is given. A harmonic gear reducer transmission error testing system is designed. This system can achieve the detection for the static and dynamic transmission error of harmonic gear reducer, the accuracy of measuring angular is batter than .

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Chen, Hui Tao, Xiao Ling Wu, Da Tong Qin, Jun Yang, and Zhi Gang Zhou. "Effects of Gear Manufacturing Error on the Dynamic Characteristics of Planetary Gear Transmission System of Wind Turbine." Applied Mechanics and Materials 86 (August 2011): 518–22. http://dx.doi.org/10.4028/www.scientific.net/amm.86.518.

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The effects of gear manufacturing error on the dynamic characteristics of planetary gear transmission system of wind turbine are studied in this paper. Firstly, the static transmission error combined with manufacturing error of the gear is deduced. Then, the nonlinear dynamic model of planetary gear transmission system of wind turbine is set up with the consideration of time-varying mesh stiffness, backlash and manufacturing error. Finally, the statistical characteristics of Vibration displacement response process of each component of planetary gear transmission system are obtained by simulation analysis of the planetary gear system of 1.5MW Semi-direct drive wind turbine with the consideration of the torque fluctuation caused by wind speed. The research results lay a foundation for reliability design and optimizing of gear transmission system of wind turbine.

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16

Kahraman, A. "Effect of Axial Vibrations on the Dynamics of a Helical Gear Pair." Journal of Vibration and Acoustics 115, no. 1 (January 1, 1993): 33–39. http://dx.doi.org/10.1115/1.2930311.

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In this paper, a linear dynamic model of a helical gear pair has been developed. The model accounts for the shaft and bearing flexibilities, and the dynamic coupling among the transverse, torsional, axial and rotational (rocking) motions due to the gear mesh. The natural frequencies and the mode shapes have been predicted, and the modes which are excited by the static transmission error have been identified. The forced response due to the static transmission error has also been predicted, including the dynamic mesh and bearing forces. A parametric study has been performed to investigate the effect of the helix angle on the free and forced vibrational characteristics of the gear pair. It has been shown that the helix angle can be neglected in predicting the natural frequencies and the dynamic mesh forces. An accurate prediction of dynamic bearing forces and moments requires inclusion of the helix angle in the analysis.

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17

Liu, Xuan, Zongde Fang, Haitao Jia, Ning Zhao, Yunbo Shen, Hui Guo, and Xijin Zhang. "Investigation of Load Sharing and Dynamic Load Characteristics of a Split Torque Transmission System with Double-Helical Gear Modification." Shock and Vibration 2021 (June 29, 2021): 1–22. http://dx.doi.org/10.1155/2021/9912148.

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A new dynamic model for a two-input two-path split torque transmission system which considers meshing error, time-varying meshing stiffness, and meshing-in impact is proposed. Time-varying meshing stiffness and meshing-in impact of each gear pair are accurately calculated based on tooth contact analysis and loaded tooth contact analysis. Equivalent displacements of eccentricity error and installation error along the meshing line of second- and third-stages gears are derived. The modified tooth surface of a third-stage double-helical gear is obtained by optimizing the amplitude of static loaded transmission error and meshing-in impact via nondominated sorting genetic algorithm-II (NSGA-II). Influence of modification on load sharing and dynamic load characteristics of split torque transmission system is investigated. The results indicate that the system’s dynamic meshing force increases when meshing-in impact is accounted for, which is unfavorable for the transmission. Following the modification of a double-helical gear, the dynamic load characteristics of the split torque transmission system are significantly improved, while its load sharing characteristics are improved to a certain extent.

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Zhao, Liang, Meng Su, and Yun Chen Miao. "High Accuracy Analysis of SCARA Industrial Robot Based on Screw Theory." Applied Mechanics and Materials 130-134 (October 2011): 249–55. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.249.

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Error sources which influence the end-executor’s accuracy are summarized. Based on an analysis of influence caused by the structural error and transmission error, we build a pose error model of industrial robots with screw theory. If regarding the inertia force of the robot system as the external force, the robot system will become a static system. The rigidity can be analyzed using the screw theory, then we establish the dynamic error modle which is caused by the inertia force and gravity. After the error parameters which influence the static error of Selective Compliance Assembly Robot Arm (SCARA) robot are expressed by two-dimensional discrete variable, error space of the end-executor’s track of robot are made. Position error which influenced by the error sources are analysed by comparision of difference. Total accuracy can be improved through controlling the error direction of the static error to counteract the dynamic error's influence. The error model provides an effective theoretical support for the design of industrial robots with different accuracy requirements.

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19

Yao, Lingling, Zhuo Meng, Jianqiu Bu, and Yize Sun. "Non-Linear Dynamic Feature Analysis of a Multiple-Stage Closed-Loop Gear Transmission System for 3D Circular Braiding Machine." Symmetry 12, no. 11 (October 28, 2020): 1788. http://dx.doi.org/10.3390/sym12111788.

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Aiming at the particularity of a multiple-stage closed-loop gear transmission system for 3D circular braiding machine, the model of gear transmission system in radial braiding machine was simplified. The non-linear dynamic equations of a n-elements closed-loop gear transmission system with symmetrical structure including static transmission error, the random disturbance of meshing damping and backlash were considered. For convenience of calculation n = 3, the equations were solved numerically by using Runge-Kutta. The dynamic transmission error(DTE) with different backlash, dynamic meshing forces with and without the random disturbance of meshing damping, the amplitude of dynamic transmission error at n = 1000 r/min and b = 2.65 × 10−5 m, root mean square(RMS) of DTE and the mean value of DTE of the first pair of gears were analyzed. The simulation results show that different backlash and the random disturbance of meshing damping have a great influence on the dynamic displacement error and meshing force of the gear pair, and RMS and the mean value of DTE changes at different rotational speeds. The results will provide a reference for realizing the smoothness of the closed-loop gear transmission system with symmetrical structure for 3D braiding machine and have great practical significance for improving the braiding quality.

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Krantz, T. L., M. Rashidi, and J. G. Kish. "Split Torque Transmission Load Sharing." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 208, no. 2 (July 1994): 137–48. http://dx.doi.org/10.1243/pime_proc_1994_208_263_02.

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Split torque transmissions are attractive alternatives to conventional planetary designs for helicopter transmissions. The split torque designs can offer lighter weight and fewer parts but have not been used extensively for lack of experience, especially with obtaining proper load sharing. Two split torque designs that use different load-sharing methods have been studied. Precise indexing and alignment of the geartrain to produce acceptable load sharing has been demonstrated. An elastomeric torque splitter that has large torsional compliance and damping produces even better load sharing while reducing dynamic transmission error and noise. However, the elastomeric torque splitter as now configured is not capable over the full range of operating conditions of a fielded system. A thrust balancing load-sharing device was evaluated. Friction forces that oppose the motion of the balance mechanism are significant. A static analysis suggests increasing the helix angle of the input pinion of the thrust balancing design. Also, dynamic analysis of this design predicts good load sharing and a significant torsional response to accumulative pitch errors of the gears.

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Suzuki, Daisuke, Shigeru Horiuchi, Jin Hwan Choi, and Han Sik Ryu. "Dynamic Analysis of Contacting Spur Gear Pair for Fast System Simulation." Solid State Phenomena 110 (March 2006): 151–62. http://dx.doi.org/10.4028/www.scientific.net/ssp.110.151.

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The prime source of vibration and noise in a gear system is originated from transmission error between the meshing gears. In this paper, the dynamic modeling method and response of a spur gear pair for the efficient system simulation are investigated by using a detailed contact analysis at each time step. Input values such as time-varying mesh stiffness and static transmission error excitation are not required in this investigation because mesh forces are obtained by contact analysis directly. The efficient contact search kinematics and algorithms in the context of the compliant contact model are developed to detect the interactions between teeth surfaces. In this investigation the compliant force model based on the Herzian law is employed using Coulomb friction force model, and dynamic transmission error (DTE) and mesh frequency values of contacting gear system are also illustrated.

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Maatar, M., and P. Velex. "Quasi-Static and Dynamic Analysis of Narrow-Faced Helical Gears With Profile and Lead Modifications." Journal of Mechanical Design 119, no. 4 (December 1, 1997): 474–80. http://dx.doi.org/10.1115/1.2826392.

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A systematic analysis of the influence of tooth shape modifications on the dynamic behavior of single stage narrow-faced helical gears is proposed. Calculations are performed using a 3D model with 36 degrees of freedom including torsional, flexural and axial generalized displacements of the gear-shaft-bearing system. Two approximate equations giving the normalized static transmission error STE and load factor RF are deduced. It is shown that, for a given gear set, there exists a unique representation of STE and RF valid over a large range of profile, lead modification amplitudes and transmitted loads. The role of the extent of the profile relief (long, short and intermediate) and the shape of lead modifications (parabolic, elliptic crowning, linear chamfers) is discussed. The paper is concluded by the analysis of the dynamic transmission error of a gear set with various tooth shape modifications selected from static considerations.

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23

Mark, W. D. "The Generalized Transmission Error of Parallel-Axis Gears." Journal of Mechanisms, Transmissions, and Automation in Design 111, no. 3 (September 1, 1989): 414–23. http://dx.doi.org/10.1115/1.3259014.

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The traditional one-component transmission error of parallel-axis helical gears is generalized to a three-component transmission error which characterizes the composite displacement in the plane-of-contact resulting from arbitrary small deviations in the positions of both gears of a meshing pair from the positions of their rigid perfect involute counterparts. A set of linear algebraic equations is derived for the contribution to the three generalized transmission error components arising from elastic deformations of the teeth and gear bodies and deviations of the tooth running surfaces from equispaced perfect involute surfaces. It is shown how to combine this set of equations with the generalized transmission error definition and the equations of motion of a gear system to predict the dynamic response of gear elements in the system. For the case of negligible gearbody and bearing/bearing support inertial forces, an additional set of algebraic equations that includes the effects of bearing flexibility and misalignment is derived. Combining the solution of this set of equations with the above-mentioned generalized transmission error equations yields the three-component generalized static transmission error.

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24

Li, Zheng, and Ken Mao. "Frictional Effects on Gear Tooth Contact Analysis." Advances in Tribology 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/181048.

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The present paper concentrates on the investigations regarding the situations of frictional shear stress of gear teeth and the relevant frictional effects on bending stresses and transmission error in gear meshing. Sliding friction is one of the major reasons causing gear failure and vibration; the adequate consideration of frictional effects is essential for understanding gear contact behavior accurately. An analysis of tooth frictional effect on gear performance in spur gear is presented using finite element method. Nonlinear finite element model for gear tooth contact with rolling/sliding is then developed. The contact zones for multiple tooth pairs are identified and the associated integration situation is derived. The illustrated bending stress and transmission error results with static and dynamic boundary conditions indicate the significant effects due to the sliding friction between the surfaces of contacted gear teeth, and the friction effect can not be ignored. To understand the particular static and dynamic frictional effects on gear tooth contact analysis, some significant phenomena of gained results will also be discussed. The potentially significant contribution of tooth frictional shear stress is presented, particularly in the case of gear tooth contact analysis with both static and dynamic boundary conditions.

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Yoon, K. Y., and S. S. Rao. "Dynamic Load Analysis of Spur Gears Using a New Tooth Profile." Journal of Mechanical Design 118, no. 1 (March 1, 1996): 1–6. http://dx.doi.org/10.1115/1.2826851.

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A novel method was presented by the authors to minimize the static transmission error using cubic splines (C.S.) for gear tooth profile. A reduction in the transmission error is expected to reduce the gear vibration and noise by lowering the dynamic tooth load in a meshing cycle. To establish this fact, a dynamic analysis of the gear drive with involute tooth and modified tooth profiles (using C.S.) is performed. For this, first the tooth deformation is found and then the tooth dynamic load is determined for all reasonable speeds. A parametric study is conducted to establish the superiority of the C.S. based gear profile over the involute profile as well as the other profiles based on the use of linear and parabolic tip reliefs.

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Yuan, Bing, Shan Chang, Geng Liu, Lan Liu, and Lehao Chang. "Sensitivity Analysis of Helical Gears with Tooth Surface Modification to Applied Torque and Gear Misalignment." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 36, no. 6 (December 2018): 1085–92. http://dx.doi.org/10.1051/jnwpu/20183661085.

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The numerical calculation model of time-varying mesh stiffness, static transmission error and composite mesh error of modified helical gears is developed based on loaded tooth contact analysis (LTCA) model. To minimize the fluctuation of vibration excitation force, the optimal modification parameters of three modification methods under designed applied torque and ideal tooth contact condition are determined, and the effects of three modification methods on time-varying mesh stiffness, static transmission error and composite mesh error are analyzed. In order to analyze the sensitivity of the three modification methods to applied torque and gear misalignment, the effects of applied torque in wide range and gear misalignment on vibration excitation force and dynamic transmission error are investigated. The results show that the difference of time-varying mesh stiffness, static transmission error, composite mesh error of helical gears with different modifications methods are obvious. However, the fluctuation of vibration excitation force of helical gears is reduced significantly. When the applied torque is higher than the designed applied torque, the three modification methods show a great reduction of system vibration. When the applied torque is too low, the vibration of modified helical gears is larger than unmodified ones. Meanwhile, the resonance speed of the helical gears is slightly lower. With the increase of gear misalignment, the resonance speed becomes lower correspondingly and the effect of the three modification methods on the reduction of vibration excitation force is not obvious any more. The results can provide effective reference for establishing robust optimization method for tooth surface modification.

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Buyankin, Viktor M. "Study of the Processes of Near Identical, Nanoprene, Neuro Progenitor Electric Drive." Latvian Journal of Physics and Technical Sciences 56, no. 1 (February 1, 2019): 29–40. http://dx.doi.org/10.2478/lpts-2019-0003.

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Abstract The article deals with the artificial multilayer neural network with direct signal transmission and reverse error propagation, which operates in the mode of identification of static and dynamic characteristics of the electric drive. To study processes of nearly identical, nanoprene of neuroprogenitor has been developed by the research stand, which is described in the article. As a result of research on the stand, the results show that the neural network is well enough to identify the static and dynamic characteristics of the electric drive.

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Feng, Zhiheng, and Chaosheng Song. "Effects of Geometry Design Parameters on the Static Strength and Dynamics for Spiral Bevel Gear." International Journal of Rotating Machinery 2017 (2017): 1–8. http://dx.doi.org/10.1155/2017/6842938.

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Considering the geometry design parameters, a quasi-static mesh model of spiral bevel gears was established and the mesh characteristics were computed. Considering the time-varying effects of mesh points, mesh force, line-of-action vector, mesh stiffness, transmission error, friction force direction, and friction coefficient, a nonlinear lumped parameter dynamic model was developed for the spiral bevel gear pair. Based on the mesh model and the nonlinear dynamic model, the effects of main geometry parameters on the contact and bending strength were analyzed. Also, the effects on the dynamic mesh force and dynamic transmission error were investigated. Results show that higher value for the pressure angle, root fillet radius, and the ratio of tooth thickness tend to improve the contact and bending strength and to reduce the risk of tooth fracture. Improved gears have a better vibration performance in the targeted frequency range. Finally, bench tests for both types of spiral bevel gears were performed. Results show that the main failure mode is the tooth fracture and the life was increased a lot for the spiral bevel gears with improved geometry parameters compared to the original design.

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Yuan, Bing, Shan Chang, Geng Liu, Lehao Chang, and Lan Liu. "Quasi-static analysis based on generalized loaded static transmission error and dynamic investigation of wide-faced cylindrical geared rotor systems." Mechanism and Machine Theory 134 (April 2019): 74–94. http://dx.doi.org/10.1016/j.mechmachtheory.2018.12.019.

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Lin, Hsiang Hsi, Dennis P. Townsend, and Fred B. Oswald. "Prediction of Gear Dynamics Using Fast Fourier Transform of Static Transmission Error*." Mechanics of Structures and Machines 21, no. 2 (January 1993): 237–60. http://dx.doi.org/10.1080/08905459308905188.

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Thomas, Benny, K. Sankaranarayansamy, S. Ramachandra, and Suresh Kumar S.P. "Selection of Pressure Angle based on Dynamic Effects in Asymmetric Spur Gear with Fixed Normal Contact Ratio." Defence Science Journal 69, no. 3 (April 30, 2019): 303–10. http://dx.doi.org/10.14429/dsj.69.13636.

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Asymmetric spur gears are finding application in many fields including aerospace propulsion and automobile which demand unidirectional or relatively higher load on one side of the gear flank. Design intend to maximise the load carrying capacity of the drive side of asymmetric gear by increasing the pressure angle is achieved at the expense of coast side capacity. Multiple solution for coast to drive side pressure angle exist for a given contact ratio and each of these have relative merits and demerits. In the present work asymmetric spur gears of theoretically equal contact ratio as that of corresponding symmetric gears are selected to investigate the change in gear tooth static transmission error and dynamic behaviour with coast and drive side pressure angle. Study shows that dynamic factor of normal contact ratio asymmetric spur gears below resonance speed are relatively lower than corresponding symmetric gears of same module, contact ratio, number of teeth, coast side pressure angle and fillet radii. Results also show that, coast and drive side pressure angle can be suitably selected for a given contact ratio to reduce the single tooth and double tooth contact static transmission error and dynamic factor of asymmetric spur gears.

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Parker, Robert G., Vinayak Agashe, and Sandeep M. Vijayakar. "Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model." Journal of Mechanical Design 122, no. 3 (May 1, 1999): 304–10. http://dx.doi.org/10.1115/1.1286189.

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The dynamic response of a helicopter planetary gear system is examined over a wide range of operating speeds and torques. The analysis tool is a unique, semianalytical finite element formulation that admits precise representation of the tooth geometry and contact forces that are crucial in gear dynamics. Importantly, no a priori specification of static transmission error excitation or mesh frequency variation is required; the dynamic contact forces are evaluated internally at each time step. The calculated response shows classical resonances when a harmonic of mesh frequency coincides with a natural frequency. However, peculiar behavior occurs where resonances expected to be excited at a given speed are absent. This absence of particular modes is explained by analytical relationships that depend on the planetary configuration and mesh frequency harmonic. The torque sensitivity of the dynamic response is examined and compared to static analyses. Rotational mode response is shown to be more sensitive to input torque than translational mode response. [S1050-0472(00)00403-7]

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Choi, S. H., J. Glienicke, D. C. Han, and K. Urlichs. "Dynamic Gear Loads Due to Coupled Lateral, Torsional and Axial Vibrations in a Helical Geared System." Journal of Vibration and Acoustics 121, no. 2 (April 1, 1999): 141–48. http://dx.doi.org/10.1115/1.2893956.

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In this paper we investigate the rotordynamics of a geared system with coupled lateral, torsional and axial vibrations, with a view toward understanding the severe vibration problems that occurred on a 28-MW turboset consisting of steam turbine, double helical gear and generator. The new dynamic model of the shaft line was based on the most accurate simulation of the static shaft lines, which are influenced by variable steam forces and load-dependent gear forces. The gear forces determine the static shaft position in the bearing shell. Each speed and load condition results in a new static bending line which defines the boundary condition for the dynamic vibration calculation of the coupled lateral, torsional and axial systems. Rigid disks and distributed springs were used for shaft line modeling. The tooth contact was modeled by distributed springs acting normally on the flank surfaces of both helices. A finite element method with distributed mass was used for lateral and torsional vibrations. It was coupled to a lumped mass model describing the axial vibrations. The forced vibrations due to unbalances and static transmission errors were calculated. The eigenvalue problem was solved by means of a stability analysis showing the special behavior of the coupled system examined. The calculation was successfully applied, and the source of the vibration problem could be located as being a gear-related transmission error. Several redesign proposals lead to a reliable and satisfactory vibrational behavior of the turboset.

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Wang, Zhi, Qing Chen, Jia Chun Lin, and Li Li Yang. "Study of the Dynamic Behavior of Face Gear Transmission System." Applied Mechanics and Materials 268-270 (December 2012): 1063–66. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.1063.

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According to the gear meshing theory, the tooth surface equation of orthogonal face gear is derived and the mathematical model is established. Also the model was provided for simulating the bevel gear transmission system concerning the time variant stiffness and face gears errors under static load and cyclic loads. Through the model the computerized analysis of speed, angle and acceleration of gear real tooth surface could be accomplished. Rattle as discussed under condition of different static loads and the constant cyclic loads.

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Hou, Liguo, Yulong Lei, Yao Fu, and Jianlong Hu. "Effects of lightweight gear blank on noise, vibration and harshness for electric drive system in electric vehicles." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 234, no. 3 (March 30, 2020): 447–64. http://dx.doi.org/10.1177/1464419320915006.

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In this paper, effects of lightweight gear blank on static and dynamic behavior for electric drive system in electric vehicles are studied. First, a hybrid finite element-analytical method is proposed in this paper to establish gear load contact analysis model considering the structure of lightweight gear blank, which can balance the computing speed and numerical accuracy. Second, this paper establishes a rigid-flexible coupled dynamic model of electric drive system considering shaft elasticity, bearing stiffness, and housing flexibility. Finally, aiming at the noise, vibration, and harshness problem of an electric drive system equipped on electric vehicles, effects of gear web and gear rim thickness on noise, vibration, and harshness excitation source such as static transmission error and dynamic meshing force as well as dynamic response at bearings and housing are analyzed. The results show that changing gear web and gear rim thickness can significantly reduce dynamic meshing force and dynamic response. Compared with solid gear, dynamic meshing force is reduced by 68.50%, and dynamic response is reduced by 66.70% after optimization, thereby significantly improving the noise, vibration, and harshness performance of gear transmission system in electric vehicles.

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Velex, P., and M. Ajmi. "Dynamic tooth loads and quasi-static transmission errors in helical gears – Approximate dynamic factor formulae." Mechanism and Machine Theory 42, no. 11 (November 2007): 1512–26. http://dx.doi.org/10.1016/j.mechmachtheory.2006.12.009.

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Turner, P. J., P. Nigrowsky, and G. Vines. "Improved performance for robot manipulators via transmission re-design: the SPRINTA." Robotica 18, no. 2 (March 2000): 195–200. http://dx.doi.org/10.1017/s0263574799001885.

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A new design philosophy for the transmission of robot manipulators is proposed and an example of a practical implementation is presented. The philosophy combines the advantages of conventional geared robots in terms of relocating the actuators away from the joints and the alternative direct-drive approach. The gimbal drive is an example of a non-linear transmission where there is negligible friction, no backlash or compliance and which provides a varying reduction ratio for gravity compensation and for some dynamic decoupling. The gimbal drive is implemented on the three degrees of freedom SPRINTA prototype. Static repeatability, as well as tracking error and dynamic repeatability for the industrial goalpost test are measured. The performance demonstrates the potential of such a type of robot.

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Chen, Zai Ping, and Hong Qiao Xu. "Research on Network Control System Using Improved EDF Dynamic Scheduling Algorithm." Advanced Materials Research 403-408 (November 2011): 2420–23. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.2420.

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In this paper classic static and dynamic scheduling strategy is analyzed first, and then communication network of schedule ability judgment basis is given. An improved dynamic EDF scheduling algorithm is proposed in order to improve the scheduling task of real-time. The scheduling strategy is to change task priority according to the transmission error over deadline task when applying dynamic EDF scheduling strategy. True Time tool is used to build CAN network control system simulation platform. Dynamic EDF scheduling algorithm and improved scheduling algorithm are simulated respectively. The effectiveness of improved scheduling algorithm is verified by the simulation Keywords-Network control system; Scheduling Algorithm; True Time toolbox result.

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Inalpolat, Murat, Enes Timur Ozdemir, Bahadir Sarikaya, and Hyun Ku Lee. "A multibody dynamic model for predicting operational load spectra of dual clutch transmissions." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 2 (August 1, 2021): 4132–43. http://dx.doi.org/10.3397/in-2021-2609.

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In this paper, a generalized nonlinear time-varying multibody dynamic model of dual clutch transmissions (DCT) is presented. The model consists of clutches, shafts, gears and synchronizers, and can be used to model any DCT architecture. A nonlinear clutch model is used to determine the transmitted power to the transmission at any speed and clutch temperature. The clutch can be a single- or multi-plate clutch and can operate in a wet or dry-clutch configuration. A combined kinematic and powerflow simulation enables calculation of gear, shaft, bearing and clutch quasi-static loads as well as gear mesh frequencies following a duty cycle as the input. For the corresponding Linear-Time-Invariant (LTI) system model, natural frequencies and mode shapes are obtained by solving the eigenvalue problem. The modal summation technique is used to determine the steady state forced vibration response of the system. For the corresponding NTV system, Newmark's time-step marching based integration is used to determine both the steady state and transient forced vibration response of the system. The DCT model is exercised using a common transmission architecture operating at several different operating conditions. The resulting impact of changing operational conditions on gear and bearing loads as well as dynamic transmission error spectra are demonstrated.

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Yuan, Bing, Geng Liu, and Lan Liu. "Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations." Applied Sciences 10, no. 12 (June 26, 2020): 4403. http://dx.doi.org/10.3390/app10124403.

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As one of the long period gear errors, the effects of random cumulative pitch deviations on mesh excitations and vibration responses of a helical geared rotor system (HGRS) are investigated. The long-period mesh stiffness (LPMS), static transmission error (STE), as well as composite mesh error (CMS), and load distributions of helical gears are calculated using an enhanced loaded tooth contact analysis (LTCA) model. A dynamic model with multi degrees of freedom (DOF) is employed to predict the vibration responses of HGRS. Mesh excitations and vibration responses analysis of unmodified HGRS are conducted in consideration of random cumulative pitch deviations. The results indicate that random cumulative pitch deviations have significant effects on mesh excitations and vibration responses of HGRS. The curve shapes of STE and CMS become irregular when the random characteristic of cumulative pitch deviations is considered, and the appearance of partial contact loss in some mesh cycles leads to decreased LPMS when load torque is relatively low. Vibration modulation phenomenon can be observed in dynamic responses of HGRS. In relatively light load conditions, the amplitudes of sideband frequencies become larger than that of mesh frequency and its harmonics (MFIHs) because of relatively high contact ratio. The influences of random cumulative pitch deviations on the vibration responses of modified HGRS are also discussed.

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Liu, Dawei, Zhenzhen Lv, and Guohao Zhao. "Rattle dynamics of noncircular face gear under multifrequency parametric excitation." Mechanical Sciences 12, no. 1 (April 1, 2021): 361–73. http://dx.doi.org/10.5194/ms-12-361-2021.

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Abstract. A noncircular face gear (NFG) conjugated with a pinion is a new type of face gear which can transmit variable velocity ratio and in which two time-varying excitations exist, namely the meshing stiffness excitation and instantaneous center excitation. Considering the tooth backlash, static transmission error and multifrequency parametric excitation, a nonlinear dynamic model of the NFG pair is presented. Based on the harmonic balance method and discrete Fourier transformation, a semi-analytic approach for the nonlinear dynamic model is given to analyze the dynamic behaviors of the NFG. Results demonstrate that, with increase in the eccentric ratio, input velocity and error amplitude, the NFG will undergo a non-rattle, unilateral rattle and bilateral rattle state in succession, and a jump phenomenon will appear in the dynamic responses when the rattle state of the gears is transformed from unilateral rattle to bilateral rattle.

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Han, Guosheng, Bing Yuan, and Guan Qiao. "Tooth Surface Modification for Helical Gear Pairs considering Mesh Misalignment Tolerance." Shock and Vibration 2021 (April 21, 2021): 1–13. http://dx.doi.org/10.1155/2021/5563648.

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Mesh misalignment in mating the gear tooth surface is common and difficult to be determined accurately because of system deformation and bearing clearances, as well as manufacturing and assembly errors. It is not appropriate to consider the mesh misalignment as a constant value or even completely ignore it in the tooth surface modification design. Aiming to minimize the expectation and variance of static transmission error (STE) fluctuations in consideration of mesh misalignment tolerance, a multiobjective optimization model of tooth surface modification parameters is proposed through coupling the NSGA-II algorithm and an efficient loaded tooth contact analysis (LTCA) model. The modified tooth flank of helical gear pairs is defined using 6 design variables which are related to profile modification, lead modification, and bias modification. The influences of mesh misalignment on time-dependent meshing stiffness (TDMS) and STE of unmodified and modified helical gear pairs are investigated. Then, the dynamic transmission error (DTE) of modified helical gears in consideration of mesh misalignment is discussed. The results indicate that the designed modified tooth surface shows good robustness to mesh misalignment.

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Ma, Hui, Xu Pang, Qibin Wang, Rongze Song, and Bangchun Wen. "Commentary on effects of tip relief on vibration responses of a geared rotor system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 11 (December 9, 2014): 2159–69. http://dx.doi.org/10.1177/0954406214563963.

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The purpose of the present work is to revise the model of Ma et al. ( Proc IMechE, Part C: J Mechanical Engineering Science 2014; 228(7): 1132–1154 ). In that work, emphasis is given to the effects of tip relief on the lateral-torsional coupling vibration responses of the system, in which the time-varying mesh stiffness (TVMS) is calculated without considering the extension of the meshing period of a teeth pair due to dynamic overloads. Moreover, the dynamic model of the geared rotor system does not take into account no-loaded static transmission error (NLSTE) caused by tooth profile modification. In the present paper, the effect of the extended tooth contact on TVMS is considered and the dynamic model of the geared rotor system is revised by introducing the NLSTE. Based on the revised model, TVMS, loaded static transmission error (LSTE), NLSTE, and vibration responses are determined. Finally, comparisons of TVMS, LSTE, and vibration responses between the original model and the revised model are performed. The results show that there are some differences for the vibration responses between the original model and the revised model, and the vibration amplitude of the latter is smaller than that of the former. Furthermore, the conclusion in the original paper that the tip relief is not effective in reducing the vibration at higher mesh frequency range is not consistent with the results in current work any more.

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Xu, Jinli, Jiwei Zhu, and Lei Wan. "Effects of intermediate support stiffness on nonlinear dynamic response of transmission system." Journal of Vibration and Control 26, no. 9-10 (January 21, 2020): 851–62. http://dx.doi.org/10.1177/1077546319889872.

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This study is aimed at investigating the effects of intermediate support stiffness on nonlinear vibration response of transmission system. A coupled bending–torsional–lateral dynamic model with 14 degrees of freedom of transmission system is proposed comprehensively considering rubber dynamic stiffness, time-varying stiffness, static transmission error, and backlash. Meanwhile, a model of intermediate support with rubber nonlinear properties is developed to improve the accuracy of analysis. On the basis of the nonlinear differential equations derived by the lumped-parameter method, the dynamic responses of the key parts in the transmission system are obtained using the Runge–Kutta method and the effects of intermediate support stiffness on the dynamic characteristics are analyzed. Numerical results show that complicated interaction occurs and intermediate support stiffness has a great influence on the vibration of the coupled system. With the increase in the intermediate support stiffness, the vibration displacements in the three directions of the gear are progressively reduced and the nature frequencies are changed. The influence of the radial stiffness is greater than that of the axial stiffness. An experiment is performed subsequently to validate the effect of intermediate support stiffness on system, and the experimental results are consistent with numerical ones.

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Zhang, Weiliang, Xupeng Wang, Xiaomin Ji, Xinyao Tang, Fengfeng Liu, Shuwei Liu, and Tengyuan Xue. "Response analysis of 3D braided two-stage gear system excited by different frequency signals." Advances in Mechanical Engineering 13, no. 3 (March 2021): 168781402110051. http://dx.doi.org/10.1177/16878140211005197.

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The knitting principle of 3D braided gear was studied, and the dynamic model of the two-stage gear system was established. The fourth-order Runge-Kutta method was used to numerically simulate the dynamic characteristics of common gear and 3D braided gear. The results showed that the fundamental frequency ω1 of the static transmission error excitation had the greatest effect on the speed and frequency characteristics of the first-stage gear along the meshing line. The research on frequency characteristics of common gear and 3D braided gear shows that the fundamental frequency ω1 of the static transmission error excitation has a large effect on the speed and frequency characteristics of the first-stage gear along the meshing line. With the reduction of the gear mass and moment of inertia, the amplitude in the low-frequency band increases. The vibration resonance of the system is studied by defining the amplitude gain of the response of the system output at the low-frequency signal ω3. The results show that with the reduction of gear mass and moment of inertia, when the input stage torque fluctuation frequency is Ω > 5, the fluctuation of amplitude gain Q disappears, which indicates that the vibration resistance of the 3D braided gear to high-frequency input stage torque fluctuation frequency is greatly improved.

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Zhang, Haibo, and Xiaofang Shen. "A dynamic tooth wear prediction model for reflecting “two-sides” coupling relation between tooth wear accumulation and load sharing behavior in compound planetary gear set." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 9 (January 13, 2020): 1746–63. http://dx.doi.org/10.1177/0954406219900085.

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In planetary gear set, load sharing behavior determines the average amplitude of meshing force, so determines the tooth wear. Meanwhile, tooth wear accumulation increases the backlash, so affects the load sharing behavior. As a result, a “two-sides” coupling relation appears between load sharing behavior and tooth wear. In order to reveal this coupling relation, a static tooth wear prediction model for compound planetary gear set is employed to describe the wear distribution along tooth profile and backlash generated by tooth wear accumulation. Then, a “translational-rotational” lumped-parameter dynamic model of compound planetary gear set is built to calculate the eccentric load coefficient for each meshing pair, under the excitation from the backlash generated by tooth wear accumulation, transmission error, and other excitation. Based on the aforementioned two models, a dynamic tooth wear prediction model is put forward to reflect “two-sides” coupling relation between tooth wear accumulation and load sharing behavior in compound planetary gear set. Lastly, in order to improve the reliability, a 3D-diformable model is built to study the influence of tooth wear on load sharing. The results indicated that, with the system running and tooth wear increasing, under the condition of no-initial transmission error, tooth wear accumulation decreases the load sharing at meshing engagement and disengagement, and under the condition of initial transmission error, tooth wear accumulation improves load sharing behavior slightly.

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Qiu, Huan Song, Jie Hong Yuan, Yuan Li, and Xing Li. "Dynamic Analysis of Spiral Bevel Gear Pair under Time-Varying Backlash." Advanced Materials Research 940 (June 2014): 217–21. http://dx.doi.org/10.4028/www.scientific.net/amr.940.217.

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Neglecting the influence of static transmission error, a non-linear dynamic model of spiral bevel gear pair with time-varying backlash was presented. Through the simplification of above model, the dimensionless form of gear system was obtained. Then, the dynamic characteristics of gear system were acquired by using Runge-Kutta method under the influence of time-varying backlash and torque. The results showed primary harmonic amplitude of gear backlash and torque had a significant effect on the non-linear and vibration characteristics of gear system. With the change of that, bifurcation phenomenon, quasi periodic motion and chaotic motion were detected. In addition, the variation and fluctuation of amplitude, containing displacement amplitude and velocity amplitude, were analyzed detailedly.

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Cheng, Yuping, and Teik C. Lim. "Dynamics of Hypoid Gear Transmission With Nonlinear Time-Varying Mesh Characteristics." Journal of Mechanical Design 125, no. 2 (June 1, 2003): 373–82. http://dx.doi.org/10.1115/1.1564064.

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The coupled translation-rotation vibratory response of hypoid geared rotor system due to loaded transmission error excitation is studied by employing a generalized 3-dimensional dynamic model. The formulation includes the effects of backlash nonlinearity as well as time-dependent mesh position and line-of-action vectors. Its mesh coupling is derived from a quasi-static, 3-dimensional, loaded tooth contact analysis model that accounts for the precise gear geometry and profile modifications. The numerical simulations show significant tooth separation and occurrence of multi-jump phenomenon in the predicted response spectra under certain lightly loaded operating conditions. Also, resonant modes contributing to the response spectra are identified, and cases with super-harmonics are illustrated. The computational results are then analyzed to quantify the extent of non-linear and time-varying factors.

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Wu, Shijing, Haibo Zhang, Xiaosun Wang, Zeming Peng, Kangkang Yang, and Weilin Zhu. "Influence of the backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 11 (January 24, 2016): 2025–41. http://dx.doi.org/10.1177/0954406215627831.

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Backlash is a key internal excitation on the dynamic response of planetary gear transmission. After the gear transmission running for a long time under load torque, due to tooth wear accumulation, the backlash between the tooth surface of two mating gears increases, which results in a larger and irregular backlash. However, the increasing backlash generated by tooth accumulated wear is generally neglected in lots of dynamics analysis for epicyclic gear trains. In order to investigate the impact of backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set, in this work, first a static tooth surface wear prediction model is incorporated with a dynamic iteration methodology to get the increasing backlash generated by tooth accumulated wear for one pair of mating teeth under the condition that contact ratio equals to one. Then in order to introduce the tooth accumulated wear into dynamic model of compound planetary gear set, the backlash excitation generated by tooth accumulated wear for each meshing pair in compound planetary gear set is given under the condition that contact ratio equals to one and does not equal to one. Last, in order to investigate the impact of the increasing backlash generated by tooth accumulated wear on dynamic response of compound planetary gear set, a nonlinear lumped-parameter dynamic model of compound planetary gear set is employed to describe the dynamic relationships of gear transmission under the internal excitations generated by worn profile, meshing stiffness, transmission error, and backlash. The results indicate that the introduction of the increasing backlash generated by tooth accumulated wear makes a significant influence on the bifurcation and chaotic characteristics, dynamic response in time domain, and load sharing behavior of compound planetary gear set.

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Gui, Yan, and Qi Zhang. "Modeling and Analysis on the Gearbox of Driven Tool Holder." Applied Mechanics and Materials 251 (December 2012): 111–13. http://dx.doi.org/10.4028/www.scientific.net/amm.251.111.

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Various methods of calculating transmission error in spur and helical gears are used to predict T.E. at the design stage. In order to reduce the driveline noise of the noise excitation mechanism, an advanced algorithm is used to predict and optimize the TE of a gear pair and the system response of specified TE excitation is investigated for the driven tool holder. And the CAD model was then meshed in Hypermesh with designable and non-designable areas. A pair of spur gears were investigated through static and dynamic analysis in detail.

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Journal articles on the topic 'Static and dynamic transmission error'

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