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Journal articles on the topic 'Shaft motion'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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1

Zhang, B., and Z. Y. Chen. "General Winkler Model for Kinematic Responses of Shafts in Linear Soil." International Journal of Computational Methods 17, no. 05 (February 25, 2019): 1940004. http://dx.doi.org/10.1142/s0219876219400048.

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A simplified model for calculating the seismic responses of the shaft is proposed in this paper. Based on the theory of Winkler elastic foundation beam, the urban shaft is simplified as a vertical beam. The horizontal soil reaction and vertical shear tractions between the shaft circumference and the surrounding soils are considered through horizontal springs and rotating springs on the sidewall of the shaft. The translation and rocking motion of the shaft are considered through horizontal springs and rotating springs at the bottom of the shaft. Then, the dynamic analysis model of the shafts under seismic motion is established, and the control equation of the dynamic response of the shaft in frequency domain is deduced. The analytical solution of the steady state response of the shaft is obtained. Considering the randomness of the earthquake motion, this method can get the shaft kinematic responses under different ground motions efficiently in conceptual design process.
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2

Yu, J., A. Craggs, and A. Mioduchowski. "Modelling of Shaft Orbiting with 3-D Solid Finite Elements." International Journal of Rotating Machinery 5, no. 1 (1999): 53–65. http://dx.doi.org/10.1155/s1023621x99000056.

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A 3-D solid finite element model which can include bending, torsional, axial and other motions is proposed to analyse dynamic responses of shafts. For uniform shafts, this model shows consistency with beam theories when bending vibration is examined. For non-uniform shafts such as tapered ones, however, this model gives much more reliable and accurate results than beam theories which use an assumption that plane sections remain plane. Reduction procedures can be applied which involve only small matrix operations for such a system with a large number of degrees of freedom. The equations of motion have been consistently derived in a rotating frame. Shaft orbiting motion is then defined in this frame, giving a clear view of its trajectories. Forced responses due to excitation in the rotating frame have been examined to find some characteristics of the orbiting shaft. Resonant orbiting frequencies, i.e., natural frequencies of rotating shafts, can be determined in terms of the rotating or fixed frame. Trajectories of transverse displacements have been found to be varying with the forcing frequencies. At resonance, a uniform shaft will only have forward or backward orbiting motion with circular orbits. For other forcing frequencies, however, even a uniform shaft could present both forward and backward orbiting motions with non-circular orbits at different locations along its length. It is anticipated that modelling of shaft orbiting in the rotating frame with the proposed 3-D solid finite elements will lead to accurate dynamic stress evaluation.
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3

Lee, Dong-Hyeok, and Wi-Ro Lee. "Easy measuring instrument for analyzing the radial and tilt error motions of a rotating shaft." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 231, no. 2 (March 14, 2017): 667–74. http://dx.doi.org/10.1177/1475090216680891.

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In this study, a real-time measurement system to easily apply multi-probe error separation method for error motion measurement of a shaft was designed and developed. An arrangement condition of sensing probes for accurate multi-probe error separation method was examined and verified by a simulation test. By following the examined arrangement condition for multi-probe method, a measurement system to measure radial and tilt error motions of a shaft was designed and developed. The efficiency of the multi-probe method with the examined arrangement condition was checked by comparing the error motion results for a rotary stage with the error motions in the specifications of the guarantee. It is expected to apply this system to a real-time monitoring system of failure diagnosis for rotating shafts in ships and plants.
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4

Collins, K. R., R. H. Plaut, and J. Wauer. "Detection of Cracks in Rotating Timoshenko Shafts Using Axial Impulses." Journal of Vibration and Acoustics 113, no. 1 (January 1, 1991): 74–78. http://dx.doi.org/10.1115/1.2930158.

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A rotating Timoshenko shaft with a single transverse crack is considered. The crack opens and closes during motion and is represented by generalized forces and moments. The shaft has simply supported ends, and the six coupled, piecewise-linear equations of motion (including longitudinal, transverse, and torsional displacements) are integrated numerically after application of Galerkin’s method with two-term approximations for each of the six displacements. Time histories and frequency spectra are compared for shafts with no crack and with a crack for which the crack depth is one-fifth of the shaft diameter. Free vibrations and the responses to a single axial impulse and periodic axial impulses are analyzed. The last case appears to provide an effective means for detecting cracks in rotating shafts.
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5

Lahjouji, Imane, M’hammed El Gadari, and Mohammed Radouani. "Numerical Investigation of Grooved Shaft Effects on the Rotary Lip Seal Performance with Relative Lip Motion." Lubricants 7, no. 2 (February 15, 2019): 16. http://dx.doi.org/10.3390/lubricants7020016.

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It is generally agreed that radial lip seals are used in systems with a rotating shaft and a stationary lip. However, according to previous work, it was demonstrated that relative motion between the shaft and the lip has substantial effects on the hydrodynamic lifting load and sealing performances. Nowadays, new generations of textured shafts have emerged in order to reduce friction torque and improve reverse pumping, but no study has confirmed the effect of the relative motion between the rough lip and the shaft grooves on the rotary lip seal performances. In this work, an isothermal hydrodynamic lubrication was performed in transient conditions to investigate the effect of the relative velocity between an oblique grooved shaft and a rough lip. After confirming the validity of the current model with respect to previous works, simulations have underlined the effect of the grooved shaft with relative lip motion on the rotary lip seal performance. Indeed, by keeping the same relative velocity between surfaces, it is shown that moving the shaft with a rate higher than that of the lip surface could produce an important reverse pumping and reduce the friction torque significantly, in comparison with cases where the shaft velocity is weaker.
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6

Iwata, Toshiaki, Kenzo Kodama, Fumio Numajiri, Yozo Kikuta, and Hiroshi Murakami. "Experiment of Robotic Motion Using Drop Shaft." Journal of the Robotics Society of Japan 13, no. 8 (1995): 1206–9. http://dx.doi.org/10.7210/jrsj.13.1206.

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7

Neriya, S. V., R. B. Bhat, and T. S. Sankar. "On the Dynamic Response of a Helical Geared System Subjected to a Static Transmission Error in the Form of Deterministic and Filtered White Noise Inputs." Journal of Vibration and Acoustics 110, no. 4 (October 1, 1988): 501–6. http://dx.doi.org/10.1115/1.3269557.

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The vibration of a helical geared shaft system is studied, considering the coupling between the torsional, flexural, rotational (about the diametral axis), and axial motions of the gear carrying shafts. The effects of the nonlinear backlash function and time varying tooth stiffness are also considered. The excitation to the geared shaft system is in the form of a static transmission error which has deterministic and filtered white noise components. The equations of motion are formulated in state space form and solved using matrix exponential approach. Piecewise linearization is used in the simulation and results for the mean and variance of the dynamic response are presented.
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8

Chassapis, C., and G. G. Lowen. "Computer Simulation of a Press Feed Mechanism and Experimental Confirmation." Journal of Mechanical Design 116, no. 1 (March 1, 1994): 248–56. http://dx.doi.org/10.1115/1.2919355.

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An experimentally verified simulation of the elastic-dynamic behavior of a lever-type feed mechanism is presented. Based on a combination of experimental and analytical findings, simplified motion equations could be introduced. In the experimental set-up, the motion of the mechanism is monitored by three angular encoders, which are attached to the drive shaft, the rocker-link shaft, and the feed roller shaft, respectively. Their output, which is stored in a specially designed data acquisition system, allows the correlation of the instantaneous rotations of the feed roller and the rocker shafts to that of the drive shaft. Strain gages provide in and out-of-plane bending-strain histories of the bent coupler. Experiment and theory, for different loading conditions, are correlated by way of the coupler strain, the clutch windup angle and the total feed length. Good qualitative and quantitative agreement between computed and experimental results was found.
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9

Legrand, Mathias, Dongying Jiang, Christophe Pierre, and Steven W. Shaw. "Nonlinear Normal Modes of a Rotating Shaft Based on the Invariant Manifold Method." International Journal of Rotating Machinery 10, no. 4 (2004): 319–35. http://dx.doi.org/10.1155/s1023621x04000338.

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The nonlinear normal mode methodology is generalized to the study of a rotating shaft supported by two short journal bearings. For rotating shafts, nonlinearities are generated by forces arising from the supporting hydraulic bearings. In this study, the rotating shaft is represented by a linear beam, while a simplified bearing model is employed so that the nonlinear supporting forces can be expressed analytically. The equations of motion of the coupled shaft-bearings system are constructed using the Craig–Bampton method of component mode synthesis, producing a model with as few as six degrees of freedom (d.o.f.). Using an invariant manifold approach, the individual nonlinear normal modes of the shaft-bearings system are then constructed, yielding a single-d.o.f. reduced-order model for each nonlinear mode. This requires a generalized formulation for the manifolds, since the system features damping as well as gyroscopic and nonconservative circulatory terms. The nonlinear modes are calculated numerically using a nonlinear Galerkin method that is able to capture large amplitude motions. The shaft response from the nonlinear mode model is shown to match extremely well the simulations from the reference Craig–Bampton model.
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10

Pierson, Bruce A. "Roller shaft mounting for sound and motion control." Journal of the Acoustical Society of America 103, no. 5 (1998): 2260. http://dx.doi.org/10.1121/1.422709.

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11

Filimonikhin, Gennadiy, Volodymyr Yatsun, and Irina Filimonikhina. "Investigation of oscillations of platform on isotropic supports excited by a pendulum." E3S Web of Conferences 168 (2020): 00025. http://dx.doi.org/10.1051/e3sconf/202016800025.

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Within the framework of a flat model, steady-state modes of motion of a system composed of a platform on isotropic elastic-viscous supports, a shaft on a platform, and a pendulum freely mounted on a shaft are investigated. The developed methodology was used in the studies, based on the energy method, the theory of bifurcations of motions, and the idea of a parametric solution to the problem. All steady-state modes of motion were found. It is established that these are modes of the pendulum jamming. Each mode is characterized by a corresponding jamming frequency. Depending on the velocity of rotation of the shaft, there may be one or three possible jamming frequencies. When there is only one jamming frequency, the corresponding mode of motion is globally asymptotically stable. When there are three jamming frequencies, locally asymptotically stable modes with the smallest and highest jamming frequencies of the pendulum. The smallest jamming frequency of the pendulum is close to resonance. This mode can be used to excite resonant vibrations in vibrating machines. The highest jamming frequency of a pendulum is close to the shaft rotation velocity. This mode can be used to excite non-resonant vibrations in vibrating machines.
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12

Kim, Sung-Il, Ky-Hyoung Kim, Hyung-Soo Kim, Hyun-Seob Lee, Jin-Uk Kim, Chan-Gyu Ahn, and Hee-Jin Kim. "Analysis of golf swing motion for specific properties of club shaft." Korean Journal of Sport Biomechanics 12, no. 2 (August 30, 2002): 17–32. http://dx.doi.org/10.5103/kjsb.2002.12.2.017.

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13

NAKAMURA, Hiroki, Toru YAMAZAKI, Kazunori KASAHARA, Hiroki NAGANUMA, and Osami MATSUSHITA. "Improvement calculation accuracy of blade-shaft coupled torsional vibration by including axial shaft motion." Transactions of the JSME (in Japanese) 85, no. 879 (2019): 18–00500. http://dx.doi.org/10.1299/transjsme.18-00500.

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14

NAKAMURA, Hiroki, Toru YAMAZAKI, Kazunori KASAHARA, Hiroki NAGANUMA, and Osami MATSUSHITA. "Improvement Calculation Accuracy of Blade-Shaft Coupled Torsional Vibration by Including Axial Shaft Motion." Proceedings of the Dynamics & Design Conference 2017 (2017): 113. http://dx.doi.org/10.1299/jsmedmc.2017.113.

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15

Marcinkevičius, Andrejus Henrikas. "Device for an Active Dimension and Deflection Control of Shafts at Machining." Solid State Phenomena 113 (June 2006): 465–70. http://dx.doi.org/10.4028/www.scientific.net/ssp.113.465.

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When using programmed machine tools many steps of a shaft are machined in one operation. Many shafts are not rigid enough and for the purpose of achieving high accuracy and productivity it is necessary to use an automatic follow rest and dimension control. The problem is complicated by necessity of an automatic reset in an operation from one step of a shaft to the other. The new scheme of a device is proposed in the paper that enables simultaneously to support the shaft being machined and control its dimensions. The work principle of a device is that the shaft is supported in a radial direction by a movable slider. Diameter of the shaft neck is measured by two levers turning round their axes driven by the movable slider with patterns. The main idea is that at motion of the slider equal to change of the shaft neck diameter measuring surfaces of levers are constantly tangent to diametrical surface of the workpiece while the slider is supporting the workpiece in radial direction, opposite to the cutting force. Dimension of a shaft neck is evaluated as a sum of motion value of a slider and deviation from tangent of lever measuring surfaces. Theoretical background of principle schemes and the work scheme of a device are presented in the paper.
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16

Kanada, Ayato, Tomoaki Mashimo, and Kazuhiko Terashima. "Study of Rotary-Linear Ultrasonic Motor Output Shafts." International Journal of Automation Technology 10, no. 4 (July 5, 2016): 549–56. http://dx.doi.org/10.20965/ijat.2016.p0549.

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We propose output shafts with a preload generation mechanism to improve the output torque and thrust force of the rotary-linear ultrasonic motor. The stator is comprised of a single metallic cube with a through-hole, and the output shafts are inserted into the hole to generate motion in both its circumferential and axial directions arbitrarily. In this paper, two design concepts for optimizing the preload using the output shafts are examined. The first involves a cylinder shaft with micron-order accuracy diameter realization. The cylinder shaft makes contact with the entire inner surface of the stator and generates a preload between the stator and shaft. The second concept employs a spring shaft having a slightly larger diameter than the stator hole, which expands in the radial direction and generates the preload. Experiments show that these design concepts improve the output torque and thrust force.
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17

Iskakov, Zharilkassin. "STEADY-STATE OSCILLATIONS OF TWO-BEARING CONSOLE ROTOR WITH MASS IMBALANCE AND DISC MISALIGNMENT." CBU International Conference Proceedings 1 (June 30, 2013): 381–88. http://dx.doi.org/10.12955/cbup.v1.61.

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Steady-state oscillations of two-bearing console rotor with mass imbalance and disc misalignment are subject to study. External damping forces can be included into any motion equations. This enables us to generate amplitude-frequency and phase-frequency responses, and to describe rotor behavior at critical speeds. The combined mass imbalance and disc misalignment effect on rotor dynamics can be observed over the entire shaft speed range. Detection of residual phase shift angles at low speeds is practically relevant. This is extremely important for rotor balancing as low-speed measuring findings are used to evaluate mass eccentricity lines. To determine an unknown orientation of disc misalignment line, you can use phase shift angle values at high rotation speeds. The residual phase shift angles are studied depending on combined imbalance and shaft console value. Motion equations and all calculation formulas are given in a compact and dimensionless form.
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18

Bílek, Martin, Šimon Kovář, and Josef Skřivánek. "Mathematical Modelling of the Heald Shaft." Autex Research Journal 16, no. 4 (December 1, 2016): 175–81. http://dx.doi.org/10.1515/aut-2015-0041.

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Abstract The manufacturers of weaving equipment recently endeavour to minimise the necessary designing plays in the weaving loom mechanisms. One of the mechanisms most exposed to stress is the shedding motion that defines the held-shaft stroke. Its end part is the heald shaft. The heald shaft constitutes a problematic assembly of the shedding motion. The design employed presently is characterised by dynamic impact loading caused by designing play in the suspension of healds into the heald shaft. During weaving cycle, the healds fly between the main beams of the heald shaft, producing a considerable force pulse. This paper is concerned with the description of dynamic behaviour of the existing design on the basis of mathematical modelling and verification of obtained results by means of experimental analysis.
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19

Cheng, Chuan, Chengpeng Wang, and Keming Cheng. "Response of an oblique shock train to downstream periodic pressure perturbations." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 1 (September 7, 2017): 57–70. http://dx.doi.org/10.1177/0954410017727028.

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An experimental investigation of the response of an oblique shock train to downstream periodic pressure perturbations was conducted. The oblique shock train is generated in a Mach 2.7 ducted flow and controlled by a downstream elliptical shaft. Cyclic rotating of the shaft leads to a periodic oscillatory motion of the oblique shock train. Six cases of perturbation frequency are studied. The results indicate that the downstream pressure perturbations propagate upstream to cause the oblique shock train to oscillate with a translational motion back and forth and the wall pressure to fluctuate with the same frequency. There is no distinct relative motion between the first oblique shock and the second shock during the motion process of the oblique shock train. The entire oblique shock train exhibits its behaviour of rigid motion and the strength of the first oblique shock of the oblique shock train is nearly stable during its periodic motion. There is a clear hysteresis effect in that the oblique shock train travels along a different path for the upstream and downstream motions. A simple analytical model was built based on these experimental data to analyse the oblique shock train dynamics.
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20

Cui, Li, and Chilan Cai. "Nonlinear Dynamics Analysis of a Gear-Shaft-Bearing System with Breathing Crack and Tooth Wear Faults." Open Mechanical Engineering Journal 9, no. 1 (July 24, 2015): 483–91. http://dx.doi.org/10.2174/1874155x01509010483.

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Considering backlash, time-varying mesh stiffness and radial clearance of bearing, nonlinear dynamic model of gear bearing flexible shaft system is established taking into account breathing crack in shaft and tooth wear. Nonlinear dynamic equations are solved by Runge-Kutta method. Effect of backlash, crack in shaft and tooth wear faults on the nonlinear dynamic behavior of gear-shaft-bearing system is studied. The results show that gear-shaft-bearing system may change from periodic motion to non-periodic motion as backlash increases, and gear pair change from normal mesh to tooth separation, double-sided impact fault. If crack fault appears, quasi-periodic and chaos motion region increases, and gentle crack fault can result in instantaneous tooth separation and double-sided impact faults. Serious tooth wear fault will also induce tooth separation and double-sided impact faults. If both shaft crack and tooth wear faults exist, tooth wear fault will be intensified by double-sided impact fault from shaft crack, which will result in early failure of the gear system.
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21

Zhang, W., and F. H. Ling. "Dynamic Stability of the Rotating Shaft Made of Boltzmann Viscoelastic Solid." Journal of Applied Mechanics 53, no. 2 (June 1, 1986): 424–29. http://dx.doi.org/10.1115/1.3171775.

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A general theory is developed in this paper for studying the dynamic stability of high-speed nonuniform rotating shafts made of a Boltzmann viscoelastic solid. The equation of motion of the shaft is deduced. The stability criteria are derived by using this equation. The unstable regions for a nonhomogeneous viscoelastic shaft are worked out numerically. Analytical formulas are also given in this paper for determining the planar deflection of the shaft and its inclined angle due to a planar static load. The conclusions for special cases given in the literature known to the authors are all covered by the results in this paper.
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22

OTA, Hiroki, Taichi SATO, Yu KAZAMA, Cedrick BAUP, Joji OKAMOTO, Makoto NAGAI, and Katsuaki NAGAHASHI. "Dynamic motion of fan structure attached in motor-shaft." Proceedings of the JSME annual meeting 2002.7 (2002): 259–60. http://dx.doi.org/10.1299/jsmemecjo.2002.7.0_259.

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23

HAYASHI, Hideyuki, and Kazuhiko OSHIMA. "Crown Gear Reducer with Seesaw Motion of Transmission Shaft." Proceedings of Conference of Tokai Branch 2018.67 (2018): 627. http://dx.doi.org/10.1299/jsmetokai.2018.67.627.

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24

MIZOGUCHI, Masato, Toshinao HASHIBA, and Takeshi YONEYAMA. "23S Effects of Shaft Length on Golf Swing Motion." Proceedings of Joint Symposium: Symposium on Sports Engineering, Symposium on Human Dynamics 2001 (2001): 102–5. http://dx.doi.org/10.1299/jsmesports.2001.0_102.

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25

Luan, Zhen Hui, and Lian Jie Cai. "Research on Cone Angle of Cutter Head for Big Diameter Shaft with Analysis of Drilling Mechanics." Applied Mechanics and Materials 252 (December 2012): 85–88. http://dx.doi.org/10.4028/www.scientific.net/amm.252.85.

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In order to get a high drilling speed of shaft of nearly 13 m diameter, the authers studied on the shape of the cutter head, particularly about the cone angle. The paper discussed the motion process of slurry of drilling shaft, analysed the forces on the cutter head, and the forces on the cuttings and the motions of the cuttings in slurry. The results show that, the cone angle of the cutter head can be minished at least 20 degree.
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26

Grządziela, Andrzej. "Modelling of propeller shaft dynamics at pulse load." Polish Maritime Research 15, no. 4 (January 1, 2008): 52–58. http://dx.doi.org/10.2478/v10012-007-0097-7.

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Modelling of propeller shaft dynamics at pulse load The article discusses a method of modelling of propeller shaft dynamics at the presence of virtually introduced underwater detonation effects. The propeller shaft model has four degrees of freedom, which provides opportunities for introducing shaft displacements and rotations similar to those observed in a real object. The equations of motion, taking into account the action of external agents, were implemented to the Matlab SIMULINK environment. The obtained time-histories and their spectra were compared with the experimental results of the tests performed on the marine testing ground. The performed model identification confirmed its sensitivity to changing parameters of motion and external actions.
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27

Bogacz, R., T. Szolc, and H. Irretier. "An Application of Torsional Wave Analysis to Turbogenerator Rotor Shaft Response." Journal of Vibration and Acoustics 114, no. 2 (April 1, 1992): 149–53. http://dx.doi.org/10.1115/1.2930243.

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In this paper transient torsional vibrations of a steam turbogenerator rotor shaft system due to high speed reclosing of the electric network are investigated. The analysis is performed using torsional elastic wave theory applied to a continuous model in the form of a stepped shaft. Wave solutions of the equations of motion are used in order to determine dynamic torsional elastic moments and vibratory angular velocities in cross-sections of the turbine shafts. The results are illustrated in the form of graphs.
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28

Han, Qing Kai, Hai Tao Luo, and Bang Chun Wen. "Simulations of a Dual-Rotor System with Local Rub-Impacts Based on Rigid-Flexible Multi-Body Model." Key Engineering Materials 413-414 (June 2009): 677–82. http://dx.doi.org/10.4028/www.scientific.net/kem.413-414.677.

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The nonlinear dynamical analyses of a dual-rotor system of an aero-engine are investigated with considering local rub-impacts based on rigid-flexible multi-body simulations. The dual-rotor system is set up from a practical aero-engine prototype, which includes an inner shaft (lower-pressure shaft) and an outer shaft (higher-pressure shaft). The two shafts are in internal-external arrangement and connected by six different rolling bearings. Firstly, a rigid-flexible multi-body model of the dual-rotor system with local rub-impacts is established with MSC.Adams. Then, for the rub-impacts happening between the higher-pressure disk and the fixed elastic rod, the rub-impact forces are described as a nonlinear one with piecewise stiffness and a constant friction. At last, the transverse vibrations of the dual-rotor system are simulated. From the obtained frequency spectra and shaft center orbits of given shaft nodes, many of them are composed of multi-frequencies and demonstrate nonlinear motion patterns.
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29

Mohiuddin, M. A., and Y. A. Khulief. "Dynamic Response Analysis of Rotor-Bearing Systems With Cracked Shaft." Journal of Mechanical Design 124, no. 4 (November 26, 2002): 690–96. http://dx.doi.org/10.1115/1.1423950.

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A general dynamic model for a large-scale rotor-bearing system with a cracked shaft is introduced. A finite shaft element with a crack is developed using a consistent finite element approach. The model accommodates shafts with tapered portions, multiple disks and anisotropic bearings. The formulation is applicable to rotor-bearing systems with different practical design configurations including intermediate bearings, shaft overhang, and stepped shaft assemblies. A reduced order form of equations of motion is obtained by invoking the actual non-planar (complex) modal transformations. The time-response due to different excitations are calculated, and comparisons are presented to establish the validity and efficiency of the reduced order model. It is hoped that the developed computational scheme offers an efficient and essential core module in establishing other specialized crack detection schemes for rotor-bearing systems.
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30

Saeed, Nasser A., Mohamed S. Mohamed, and Sayed K. Elagan. "Periodic, Quasi-Periodic, and Chaotic Motions to Diagnose a Crack on a Horizontally Supported Nonlinear Rotor System." Symmetry 12, no. 12 (December 11, 2020): 2059. http://dx.doi.org/10.3390/sym12122059.

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This work aims to diagnose the crack size of a nonlinear rotating shaft system based on the qualitative change of the system oscillatory characteristics. The considered system is modeled as a two-degree-of-freedom horizontally supported nonlinear Jeffcott rotor system. The influence of the crack size on the system whirling motion for the primary, superharmonic, and subharmonic resonance cases are investigated utilizing the bifurcation diagram, Poincaré map, frequency spectrum, and whirling orbit. The obtained numerical results revealed that the cracked system whirling motion is subjected to a continuous qualitative change as the crack size increases for the superharmonic resonance case, where the system can exhibit period-1, period-2, quasi-periodic, period-3, period-doubling, chaotic, and period-2 motions, sequentially. In addition, an asymmetry is observed in the system whirling orbit due to both the shaft weight and shaft crack. Moreover, it is found that the disk eccentricity does not affect the nature of these motions. Accordingly, we illustrated a simple method to diagnose the existence of such a crack and to quantify its size via monitoring the system lateral vibrations at the superharmonic resonance. Finally, all the obtained numerical results are concluded and a comparison with already published work is included.
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31

Voloshin, A. I., A. A. Rubel, B. I. Boyko, V. A. Rubel, and O. V. Kuraeva. "Research and development of schemes of the discrete step of reinforcement in the shaft with rope profile conductors." Geo-Technical mechanics, no. 152 (2020): 32–46. http://dx.doi.org/10.15407/geotm2020.152.032.

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In order to ensure the cage directed motion, vertical shafts are reinforced with the shaft equipment of various designs: rigid, flexible, with no buntons, rope-profile. In this research, different existing design schemes of the shaft equipment, their advantages and disadvantages, design solutions with the rope-profile guides and discrete step of the shaft equipment installation between the tiers in the point of the cages meeting are considered and studied. Designing, research and installation of discrete reinforcing equipment with the rope-profile guides in the shafts in the point of the cages meeting can significantly diminish disadvantages of the existing (rigid and flexible) reinforcing equipment and can facilitate: to reduce the number of tiers arranged along the full depth of the shaft; to prolong trouble-free life; to cut capital construction costs due to less diameter of the shaft (for flexible shaft equipment); to make maintenance and repair essentially simpler; to reduce significantly metal content of the shaft equipment as compared to rigid shaft equipment; to reduce dynamic vibrations of the “cage-shaft equipment” system; to improve damping properties of the shaft equipment; to reduce the shaft aerodynamic resistance to the level of flexible shaft equipment; to improve reliability and safety of the shaft equipment operation; to eliminate the need to use balance ropes; to prolong life of the rope-profile guides to the level of rigid guides. The research and development of these structures and schemes are resulted in: improved reliability and durability of vertical shaft equipment and increased profitability of minerals extraction from deeper horizons. Introduction of the schemes with discrete step of reinforcing equipment installation in the point of cages meeting (in the middle of the shaft) for different locations of the tiers will significantly improve safety of vertical shaft equipment operation and the hoisting complex as a whole.
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32

Forgó, Zoltán, Ferenc Tolvaly-Roșca, and Judit Pásztor. "Mathematical and Assembly Modeling of The Mechanism for Implementing Intermittent Rotational Motion and Speed Setting of The Metering Shaft for Seed Drills." Műszaki Tudományos Közlemények 8, no. 1 (April 1, 2018): 45–50. http://dx.doi.org/10.33894/mtk-2018.08.05.

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Abstract The metering shaft of the drilling machine is driven from the impeller. The standard traditional gearbox, the Norton gearbox, provides a constant rotating motion between the impeller and the metering shaft. Manufacturers have started to replace this gearbox with an intermittent rotating movement. Using the stepless variable speed gearbox, the speed of the metering shaft and thus the seed rate is set steplessly. The aim of the thesis is the mathematical modeling of the intermittent rotating motion of the seed drill of a particular drilling machine, and the creation of a striping model.
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33

Muramatsu, N. "Transient Torque Produced in Arm Shaft of an Industrial Sewing Machine." Journal of Mechanical Design 112, no. 4 (December 1, 1990): 538–43. http://dx.doi.org/10.1115/1.2912643.

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This study considered the effects of needle penetrating force, needle thread tightening tension, and pressing force of the presser foot on torque produced in the arm shaft of an industrial sewing machine. The results obtained are as follows. (1) Penetrating force, especially the initial triangular wave fluctuation, induces noticeable transient vibration in torque. (2) The penetrating force is considerably more transient than the pressing force. The time ratio of the duration of the penetrating force to the natural period of the motion system is close to 1. (3) Consequently, when estimating torque, it is necessary that the arm shaft of the thread take-up lever and needle bar mechanism motion system be considered as elastic. On the other hand, the arm shaft of the feed mechanism motion system can be treated as a rigid body.
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34

Crawley, E. F., E. H. Ducharme, and D. R. Mokadam. "Analytical and Experimental Investigation of the Coupled Bladed Disk/Shaft Whirl of a Cantilevered Turbofan." Journal of Engineering for Gas Turbines and Power 108, no. 4 (October 1, 1986): 567–75. http://dx.doi.org/10.1115/1.3239948.

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The structural dynamics of a rotating flexible blade-rigid disk-flexible cantilevered shaft system is analytically and experimentally investigated. A simple analytical model yields the equations of motion expressed in the rotating frame, which show that the blade one nodal diameter modes dynamically couple to the rigid body whirling motion of the shaft-disk system. The blade modes higher than one nodal diameter are uncoupled from the shaft-disk dynamics. Nondimensionalization of the coupled equations of motion yield the criteria for the propensity and magnitude of the interaction between the bladed disk and shaft-disk modes. The analytical model was then correlated with the results of a structural dynamic experiment performed on the MIT Aeroelastic Rotor, a fan similar in design to a modern high bypass ratio shroudless turbofan. A special whirl excitation apparatus was used to excite both forward and backward asynchronous whirl, in order to determine the natural frequencies of the system. The agreement between the predicted and experimental natural frequencies is good and indicates the possibility of significant interaction of the one nodal diameter blade modes with the shaft-disk modes.
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35

Chaban, Andriy, Marek Lis, Andrzej Szafraniec, and Radoslaw Jedynak. "Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft." Energies 14, no. 1 (December 28, 2020): 115. http://dx.doi.org/10.3390/en14010115.

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Genetic algorithms are used to parameter identification of the model of oscillatory processes in complicated motion transmission of electric drives containing long elastic shafts as systems of distributed mechanical parameters. Shaft equations are generated on the basis of a modified Hamilton–Ostrogradski principle, which serves as the foundation to analyse the lumped parameter system and distributed parameter system. They serve to compute basic functions of analytical mechanics of velocity continuum and rotational angles of shaft elements. It is demonstrated that the application of the distributed parameter method to multi-mass rotational systems, that contain long elastic elements and complicated control systems, is not always possible. The genetic algorithm is applied to determine the coefficients of approximation the system of Rotational Transmission with Elastic Shaft by equivalent differential equations. The fitness function is determined as least-square error. The obtained results confirm that application of the genetic algorithms allow one to replace the use of a complicated distributed parameter model of mechanical system by a considerably simpler model, and to eliminate sophisticated calculation procedures and identification of boundary conditions for wave motion equations of long elastic elements.
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36

Duan, De Rong, Song Wang, Fang Zhao, and Dong Ning Su. "Analysis of Particle Motion in Vertical Shaft Impact Crusher Rotor." Advanced Materials Research 199-200 (February 2011): 54–57. http://dx.doi.org/10.4028/www.scientific.net/amr.199-200.54.

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The rotor of vertical shaft impact crusher was modeled by SolidWorks and imported into EDEM for dynamic simulation. The average speed, maximum speed, average force, maximum force with time were analyzed in rotor, so the true law of particles motion in rotor would be revealed, indicated that the speed of particle field in rotor increased with the rotor radius at the time of rotor work steady, about 80% of the particles were accelerated to the maximum speed, and the change of speed affected significantly the particle interactions.
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37

MIZOGUCHI, Masato, Iwao MATSUMOTO, Toshihiro NOJIRI, and Kazuo SATO. "F-0833 Effects of Shaft Length on Golf Swing Motion." Proceedings of the JSME annual meeting VI.01.1 (2001): 127–28. http://dx.doi.org/10.1299/jsmemecjo.vi.01.1.0_127.

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38

FOMIN, Andrey, and Sergey KUZNETSOV. "MATHEMATICAL SIMULATION OF WATER DROP MOTION IN VERTICAL SHAFT VENTILATION." Sustainable Development of Mountain Territories 11, no. 4 (December 30, 2019): 528–34. http://dx.doi.org/10.21177/1998-4502-2019-11-4-528-534.

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39

Мудров and Aleksandr Mudrov. "THE NEW GROUP OF SPATIAL STIRRED MACHINES." Vestnik of Kazan State Agrarian University 11, no. 2 (July 5, 2016): 77–82. http://dx.doi.org/10.12737/20641.

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The four ways to intensify the mixing process was proposed and developed, implemented in devices with a stirrer according to the type of working units movement: the operating shaft moves with intracyclic angular velocity, the shaft performs a complex spatial movement, the working units was made in the form of 3,4 and 5 mobile units, with two and more working shafts with different motion laws. Nine new classification groups of devices with a stirrer with a lot of variants in each group were created. The devices have a high degree of intensification of mixing liquid and hard-mixing agricultural materials.
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40

Huang, Feng Li, Li Jun Wang, Yong Qing Lin, and Yun Zhao. "Design and Motion Simulation Analysis on Automobile Constant Velocity Universal Joints Driving Shaft." Applied Mechanics and Materials 380-384 (August 2013): 3–7. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.3.

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the automobile constant velocity universal joint driving shaft is the important component in modern cars, its design is mainly to check the movement compatibility of parts. The constant velocity universal joints driving shaft is designed by three-dimensional solid modeling software UG, and the motion simulation model is build by multi-body dynamics simulation software to investigate the constant speed performance of constant velocity universal joints driving shaft, and check the motion trace of steel ball which is the key component of constant velocity universal joints. The results show that the constant speed performance is good, and the track design of star-like inner race is reasonable.
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41

SoltanRezaee, Masoud, Mohammad-Reza Ghazavi, and Asghar Najafi. "Parametric resonances for torsional vibration of excited rotating machineries with nonconstant velocity joints." Journal of Vibration and Control 24, no. 15 (April 12, 2017): 3262–77. http://dx.doi.org/10.1177/1077546317703542.

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The shaft system is a rotating machinery with many applications due to its high speed. The angle between shafts may not be zero. So the shafts can be connected to each other through a nonconstant velocity U-joint, which transforms a constant input angular velocity into a periodically fluctuating velocity. Consequently, the mechanism is parametrically excited and may face resonance conditions. Herein, a power transmission system including three elastic shafts is considered. The polar inertia moment of each shaft is modeled as a dynamic system with two discrete disks at the shaft ends. The equations of motion consist of a set of Mathieu–Hill differential equations with periodic coefficients. The dynamic stability and torsional vibration of the shaft system are analyzed. The system geometry and inertia moment effect are the main issues in this contribution. Parametric instability charts are achieved via the monodromy matrix technique. The graphical numerical results are validated with the frequency analytical results. Finally, the stability regions are shown in the parameter spaces of velocity, misalignment angles and the inertia of disks. The results demonstrated that by changing the system inertia and geometry, stabilizing the whole system is possible. Moreover, to check the precision of the model, the results are compared with a basic single-disk model, which is prevalent in two-shaft systems.
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42

Hosseininejad, Seyyed. "Coincidence of Ipsilateral Humeral Shaft, Monteggia and Both Bone Fractures; A Floating Elbow with Significant Recovery." Clinical Orthopaedics and Trauma Care 2, no. 1 (August 11, 2020): 01–03. http://dx.doi.org/10.31579/2694-0248/003.

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The coincidence of forearm and humeral shaft fractures results in a “floating elbow” injury necessitating surgical open reduction and internal fixation of all fractures to allocate for maintenance of elbow joint suitable motion and minimizing stiffness. Here we introduce a case of an ipsilateral humeral shaft fracture and Monteggia and both bone fracture with terrible triad open fracture from a pedestrian car accident (PCA) to his right upper extremity.
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43

Toleukhan, Imankul. "Optimal Control of the Rotor System Motion." Advanced Materials Research 705 (June 2013): 546–52. http://dx.doi.org/10.4028/www.scientific.net/amr.705.546.

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Among the problems of the rotor machines dynamics the special attention is given to the problems of creation of the automatic balancing devices (ABD) in form of a hollow rotor, filled by a liquid, and the liquid-solidbody ABD. The theoretical and experimental works on research of the ABD on the base of a hollow rotor filled partially with a liquid and of the liquid-solidbody ABD are not enough. Therefore development of the methods of research of dynamics of the rotor machines with the ABD and such machines designs is an actual, new and perspective problem. In the present work the mathematical model of the rotor system with the ABD taking into account of the engine characteristics is offered. Lets consider the model of the rotor with electric drive with one disk, set up at the flexible shaft without skew. The shaft is lean on two bearings (fig. 1).
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44

Sheu, Pey-Pey, Wei-Hua Chieng, and An-Chen Lee. "Modeling and Analysis of the Intermediate Shaft Between Two Universal Joints." Journal of Vibration and Acoustics 118, no. 1 (January 1, 1996): 88–99. http://dx.doi.org/10.1115/1.2889640.

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Unlike a single universal joint, in which the output shaft rotates with a fluctuating speed depending on the misalignment angle, a double universal joint is used to connect two offset shafts. If a double universal joint is correctly arranged, with equal joint angles in perfect alignment, the output shaft rotates in a synchronous motion with uniform speed. However, in practice, the intermediate shaft of a double universal joint system suffers from bending moments induced by joint friction and velocity fluctuation induced by the joint angles. These factors distort the linear relationship between the input and output shafts. In this paper, the effects of joint angles and joint friction on the steady-state responses of a double universal joint system are examined. The mass matrix, damping matrix, stiffness matrix, and nonconservative force of a universal joint are derived analytically for finite element modeling. The formulation introduced generates an elementary matrix suitable for the analysis of complex rotor-bearing systems that include double universal joints.
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45

Khanlo, H. M., M. Ghayour, and S. Ziaei-Rad. "Disk Position Nonlinearity Effects on the Chaotic Behavior of Rotating Flexible Shaft-Disk Systems." Journal of Mechanics 28, no. 3 (August 9, 2012): 513–22. http://dx.doi.org/10.1017/jmech.2012.61.

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AbstractThis study investigates the effects of disk position nonlinearities on the nonlinear dynamic behavior of a rotating flexible shaft-disk system. Displacement of the disk on the shaft causes certain nonlinear terms which appears in the equations of motion, which can in turn affect the dynamic behavior of the system. The system is modeled as a continuous shaft with a rigid disk in different locations. Also, the disk gyroscopic moment is considered. The partial differential equations of motion are extracted under the Rayleigh beam theory. The assumed modes method is used to discretize partial differential equations and the resulting equations are solved via numerical methods. The analytical methods used in this work are inclusive of time series, phase plane portrait, power spectrum, Poincaré map, bifurcation diagrams, and Lyapunov exponents. The effect of disk nonlinearities is studied for some disk positions. The results confirm that when the disk is located at mid-span of the shaft, only the regular motion (period one) is observed. However, periodic, sub-harmonic, quasi-periodic, and chaotic states can be observed for situations in which the disk is located at places other than the middle of the shaft. The results show nonlinear effects are negligible in some cases.
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46

Gayen, Debabrata, and Tarapada Roy. "Finite element based vibration analysis of functionally graded spinning shaft system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 18 (March 20, 2014): 3306–21. http://dx.doi.org/10.1177/0954406214527923.

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The present work deals with the study of vibration and stability analysis of a functionally graded spinning shaft system using three-noded beam element based on the Timoshenko beam theory. Material properties are assumed to be graded in radial direction according to power law gradation. In the present analysis, the mixture of aluminum oxide (Al2O3) and stainless steel (SUS304) has been considered as functionally graded material where metal (SUS304) content decreases towards the outer diameter of the shaft. The functionally graded shafts has been modeled as a Timoshenko beam, which contains discrete isotropic rigid disks supported by flexible bearing. The functionally graded shaft has been modeled based on first-order shear deformation beam theory with transverse shear deformation, rotary inertia, gyroscopic effect, strain and kinetic energy of shafts by adopting three-dimensional constitutive relations. The derivation of governing equations of motion has been obtained using Hamilton’s principle. Three-noded beam element with four degrees of freedom per node has been used to solve the govering equations. In this work, the effects of both internal viscous and hysteretic damping have also been incorporated in the finite element model. Various results have been obtained such as Campbell diagram, stability speed limit, damping ratio, and time responses for functionally graded shaft and also compared with conventional steel shaft. It has been found that the responses of the functionally graded spinning shaft are significantly influenced by material properties, radial thickness, power law gradient index, and internal (viscous and hysteretic) damping. The obtained results also show the advantages of functionally graded shaft over conventional steel shaft.
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47

Alahmadi, Ahmed A., Khalid A. Alnefaie, and Hamza Diken. "Natural Frequency Analysis of a Jeffcott Rotor Having Stepped Shaft." European Journal of Engineering and Technology Research 6, no. 3 (April 30, 2021): 170–72. http://dx.doi.org/10.24018/ejers.2021.6.3.2430.

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The Rotating shafts are mechanical elements used to transmit power or motion. A shaft with a step or steps is widely used instead of a shaft with a fixed (non-variable) diameter when operating at high speeds. The aim of this research is to study the effect of the step amount and its location in the shaft on the natural frequencies of the Jeffcott rotor model. Analytical methods are used to find an approximate formulation to obtain the natural frequencies of the Jeffcott rotor model neglecting the shaft mass. Lagrange equations are used to develop dynamic equations assuming elastic shaft with steps carrying a disk. The finite element method by using ANSYS is used to validate and compare the results obtained in the analytical method. The results obtained analytically and numerically were compatible and in good agreement. In addition, some parameters such as the step amount and the stepped shaft length are changed to check its effects on the natural frequencies. the results showed that the natural frequencies increase with an increase in the amount and length of the stepped part, while they decrease the closer the disc position to the center.
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48

Lu, Yijing, Yongsheng Song, Yanzhen Wang, and Jiale Yuan. "Three-Dimensional Nonlinear Seismic Response of Shield Tunnel Spatial End Structure." Advances in Civil Engineering 2021 (September 14, 2021): 1–17. http://dx.doi.org/10.1155/2021/8441325.

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The stiffness mutation of shield tunnel-shaft junction makes the tunnel structure affected by the differential displacement and forms a complex spatial effect. Taking the subsea shield tunnel crossing under the Shantou Gulf, China, as a case study, a three-dimensional finite element global model and a refined local spatial end submodel are established. The nonlinear dynamic behaviors of the seabed soil and concrete, the simulation of the bolt joints between ring segments by using cohesive models and the SMA shape memory alloy flexible joints, and the input ground motions produced by scaling from the high-level earthquake records are considered in detail. The results show that the shield tunnel spatial end structure increases nonlinearly in response to the increase of seismic motion intensity. The opening width and the deformation between ring segments at the vault and the outside spandrel are larger, and serious seismic damage and stress concentration exist at the conjugate 45° directions of shaft. The seismic responses of the tunnel-shaft junction subjected to the seismic motions with rich low-frequency components are much stronger than those of seismic motions with rich high-frequency components. Adding SMA flexible joints, the structural deformation caused by seismic motion propagation can be induced to the preset flexible joint, and the structural damage and stress concentration can be effectively reduced. The seismic response characteristics of shield tunnel spatial end structure calculated by the global model are consistent with those calculated by the submodel, while the seismic response of the submodel is greater than that of the global model.
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49

Nachimowicz, Jerzy, and Robert Korbut. "The Influence of Geometrical Parameters on the Friction Process in the Needle Bearing." Key Engineering Materials 490 (September 2011): 288–95. http://dx.doi.org/10.4028/www.scientific.net/kem.490.288.

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The article analyses the process of friction in the needle bearing as the function of the alterations of geometrical parameters, namely the diameter of the shaft – D, the needle – d and the bearing clearance. The change in the relation between the diameters D and d results in the change of the contact area of the friction pair; in the case of two shafts with parallel axes (the needle of the bearing and the shaft pin) the contact area, if compared with the analogical process in the ball bearing, alters significantly and leads to resistance in motion. There are two types of friction in the needle bearing: the rolling friction and the sliding friction; the analysis of the movement of the bearing elements enabled the estimation of the extent to which the sliding friction matters in the overall balance of motion resistance. The article also defines the type of wear as the function of initial clearance.
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50

Yang, Feng Hong, and Hong Zhi Tong. "Nonsmooth Bifurcations in a Cracked Rotor-Active Magnetic Bearings System." Advanced Materials Research 989-994 (July 2014): 2825–28. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.2825.

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A cracked rotor-active magnetic bearings (AMB) system with the time-varying stiffness is modeled by a piecewise smooth system due to the breath of crack in a rotating shaft. The governing nonlinear equations of motion for the nonsmooth system are established and solved with the numerical method. The simulation results show that a grazing bifurcation, period-double bifurcation and chaotic motions exist in the response. These nonsmooth bifurcations can give rise to jumps between periodic motions, quasi-periodic motions and chaos.
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