Academic literature on the topic 'Six Degree of Freedom Vibration Analysis'

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Journal articles on the topic "Six Degree of Freedom Vibration Analysis"

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Tuo, Jiying, Zhaoxiang Deng, Wei Huang, and Heshan Zhang. "A six degree of freedom passive vibration isolator with quasi-zero-stiffness-based supporting." Journal of Low Frequency Noise, Vibration and Active Control 37, no. 2 (2018): 279–94. http://dx.doi.org/10.1177/1461348418756020.

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A six degree of freedom nonlinear passive vibration isolator is proposed based on Stewart platform configuration with the quasi-zero-stiffness structure as its legs. Due to the high static stiffness and low dynamic stiffness of each leg, the proposed six degree of freedom system can realize very good vibration isolation performance in all six directions while keeping high static load-bearing capacity in a pure passive manner. The mechanic model of the proposed six degree of freedom isolator and the dynamic equation of the isolator are established successively. Theoretical analysis on cross coupling stiffness reveals that the system can demonstrate quasi-zero-stiffness property in all six degree of freedom. Moreover, an analysis on stability shows that the condition of structural parameters for the isolator to realize quasi-zero-stiffness is also the stability boundary of the system. A series of numerical simulations on displacement transmissibilities in coupled degree of freedoms, the coupling effects of transmissibility, and a dynamic response in random excitation are carried out to show the effectiveness of the proposed six degree of freedom isolator, as well as the influence of structural parameters on vibration attenuation performance. Considering its high performance in a simple passive manner, it can be foreseen that the proposed six degree of freedom isolator will be applied in various engineering practices with multi-degree of freedom vibration isolation.
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Li, Chun Zhi, Ying Chen, and Qing Lin Liu. "Research on Vibration Angle of Six Degree-of-Freedom." Applied Mechanics and Materials 226-228 (November 2012): 440–43. http://dx.doi.org/10.4028/www.scientific.net/amm.226-228.440.

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Based on fiber optic gyroscope technique new method of rotation angle testing in three-axis vibration is proposed in this paper, and the theory of fiber optic gyroscope is introduced as well. According to the measurement accuracy requirement, the angle testing system of FOG is designed by analyzing the environment of three-axis vibration. It was applied in experimental investigation of rotation angle in three-axis vibration with the FOG testing system and the real-time angular rate signal was processed by frequency analysis. The results of practical application show that it is feasibility and validity of angle testing method by means of FOG technique.
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Yuan, Xiaoming, Yue Tang, Weiqi Wang, and Lijie Zhang. "Parametric Vibration Analysis of a Six-Degree-of-Freedom Electro-Hydraulic Stewart Platform." Shock and Vibration 2021 (August 10, 2021): 1–27. http://dx.doi.org/10.1155/2021/9994786.

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Electro-hydraulic Stewart 6-DOF platform is a 6-DOF parallel mechanism combined with the electro-hydraulic servo control system, which is widely used in the field of construction machinery. In actual working conditions, the flow and pressure pulsation of the hydraulic oil output from the hydraulic leg of the electro-hydraulic Stewart platform are inevitable, so the equivalent stiffness of the platform leg will change, and the stiffness parameters of the transmission system will change, resulting in vibration, which will affect the accuracy of the platform. This paper considering the fluid unit equivalent stiffness cyclical fluctuations and leg, on the basis of the relationship between hydraulic stiffness, constructs the electric hydraulic Stewart platform machine vibration dynamics equation, fluid coupling parameters of vibration parameters using the method of the multiscale approximate analytic formula of the main resonance and combination resonance are derived, and the system parameters vibration time-domain response and frequency response under two different poses are discussed. Results show that the system first to six order natural frequency and the first to the sixth order natural frequency and frequency of hydraulic oil equivalent stiffness of the combination of frequency will have an effect on the parameters of the system vibration. In the main resonance, the dominant frequency is mainly the first to sixth order natural frequency of the system; in the combined resonance, the dominant frequency is the combined frequency. Through the parameter vibration analysis of two different positions of the platform, it is concluded that when the platform is in an asymmetric position, each leg of the system is more involved in vibration. This study can provide the reference for the subsequent dynamic optimization and reliability analysis of the electro-hydraulic Stewart platform.
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Li, Chao, and Jian Qin Mao. "Adaptive Vibration Control on Six Degree-of-Freedom Magnetostrictive Smart Structure." Materials Science Forum 546-549 (May 2007): 2199–204. http://dx.doi.org/10.4028/www.scientific.net/msf.546-549.2199.

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Multiple degree-of-freedom (DOF) vibration isolation is essential for precision control of space-borne structures and weapon systems. A new design and analysis of actuators employing magnetostrictive material TbDyFe is presented. Then, this paper studies the design and control problems of a six DOF Stewart platform using the concept of cubic configuration. Optimal geometry for the sensor configuration to get best signal is designed. To control the smart structure, a real time computer control system is built. Improved robust adaptive filtering algorithm based on nonlinear constitutive relation proposed in this paper and used in the computer control system. More than 20 dB of vibration attenuation is achieved in real-time experiments.
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Zheng, Ronghui, Huaihai Chen, Andrea Angeli, and Dirk Vandepitte. "A simplified modelling and analysis of six degree of freedom random vibration test." Mechanical Systems and Signal Processing 150 (March 2021): 107304. http://dx.doi.org/10.1016/j.ymssp.2020.107304.

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Zhu, Zhi Xiong, Shi Shun Zhu, Guo Jun Wang, and Yan Zhu. "Design of Six Freedom Vibration Acquisition System for Military Vehicle." Advanced Materials Research 430-432 (January 2012): 1866–70. http://dx.doi.org/10.4028/www.scientific.net/amr.430-432.1866.

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Design and implementation of six freedom transportation vibration spectrum collection system is presented in this paper. The Attitude and Heading Reference System (AHRS) is used to capture signals including x, y, z, direction linear acceleration, angular rates around Z-axis and pitch, roll degree. The software’s architecture and modules for host computer is designed with object-oriented analysis and design techniques, and the software is implemented with VC++6.0. The test results show that the system was able to collect vehicular vibration information on time and the collection data was replayed on the vibration platform.
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Qin, Zhi Ying, and Yao Liu. "Vibration Parameter Analysis of Non-Harmonic Vibration Conveyor." Advanced Materials Research 694-697 (May 2013): 61–64. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.61.

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For the non-harmonic vibration conveyor, a single-degree-of-freedom dynamics model is built for the horizontal motion of bulk materials, in which the dry friction force is piecewise nonsmooth. The effect on conveying velocity is studied for six vibration parameters in the excitation force with two harmonic components. The conveying velocity increases with the increase of frequency and amplitude, but the optimum frequency ratio is 2, and the optimum amplitude ratio approaches 1/3. The initial phase has no effect on conveying velocity, and the effect of phase difference is periodic, i.e. the forward conveying is best on phase difference π/2, and the backward conveying is best on phase difference -π/2.
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Yang, Xiaodong, Jida Wu, Haishen Jiang, Wenqiang Qiu, and Chusheng Liu. "Dynamic Modeling and Parameters Optimization of Large Vibrating Screen with Full Degree of Freedom." Shock and Vibration 2019 (January 31, 2019): 1–12. http://dx.doi.org/10.1155/2019/1915708.

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Dynamic characteristic and reliability of the vibrating screen are important indicators of large vibrating screen. Considering the influence of coupling motion of each degree of freedom, the dynamic model with six degrees of freedom (6 DOFs) of the vibrating screen is established based on the Lagrange method, and modal parameters (natural frequencies and modes of vibration) of the rigid body are obtained. The finite element modal analysis and harmonic response analysis are carried out to analyze the elastic deformation of the structure. By using the parametric modeling method, beam position is defined as a variable, and an orthogonal experiment on design is performed. The BP neural network is used to model the relationship between beam position and maximal elastic deformation of the lateral plate. Further, the genetic algorithm is used to optimize the established neural network model, and the optimal design parameters are obtained.
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Qin, Yu Ying, Jing Qian Wang, and Guo Hong Tian. "Random Vibration Analysis of Heavy-Duty Truck Based on Pseudo Excitation." Advanced Materials Research 299-300 (July 2011): 1244–47. http://dx.doi.org/10.4028/www.scientific.net/amr.299-300.1244.

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This paper discusses pseudo excitation method and constructs pseudo six-wheel pseudo excitation. For the complexity of heavy-duty truck, construction of vibration model is difficult for real structures; thirteen-degree-of-freedom full model is constructed for heavy-duty truck. Taken frequency response function as a bridge, pseudo excitation method is applied and a new method is gained for statistical characteristics of heavy-duty truck. The result shows that the method for random vibration of heavy-duty truck is feasible and convenient by constructing six-wheel road pseudo excitation and obtaining power spectral densities of vibration responses.
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Zhang, Ying, Li Liu, Pei Ming Shi, and Bin Liu. "Vertical Vibration Characteristics Analysis of Stand Rolls System in Six-Roll Cold Tandem Mill." Applied Mechanics and Materials 470 (December 2013): 572–76. http://dx.doi.org/10.4028/www.scientific.net/amm.470.572.

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A dynamic model of seven degree of freedom for the vertical vibration of stand rolls system in a cold tandem mill is developed by Kinematics Theory. According to the actual parameters of a factory six-roll cold rolling mill, the influence of natural frequency and modes for rolling process is analyzed. It finds that the third-order and the six-order natural frequency play a role key in vertical vibration system. Combined with energy distribution of each part and flexibility of the modes analysis for vertical vibration system, it can avoid resonance of rolling process and optimize the parameters of stand rolls system by adjusting structural size appropriately. The above mentioned results have provided a reference for further research on Kinematics and structural optimization of six-roll cold tandem mill.
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Dissertations / Theses on the topic "Six Degree of Freedom Vibration Analysis"

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Cinarel, Dilara. "Vibration Isolation Of Inertial Measurement Unit." Master's thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614069/index.pdf.

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Sensitive devices are affected by extreme vibration excitations during operation so require isolation from high levels of vibration excitations. When these excitation characteristics of the devices are well known, the vibration isolation can be achieved accurately. However, it is possible to have expected profile information of the excitations with respect to frequency. Therefore, it is practical and useful to implement this information in the design process for vibration isolation. In this thesis, passive vibration isolation technique is examined and a computer code is developed which would assist the isolator selection process. Several sample cases in six degree of freedom are designed for a sample excitation and for sample assumptions defined for an inertial measurement unit. Different optimization methods for design optimizations are initially compared and then different designs are arranged according to the optimization results using isolators from catalogues for these sample cases. In the next step, the probable designs are compared according to their isolator characteristics. Finally, one of these designs are selected for each case, taking into account both the probable location deviations and property deviations of isolators.
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Chong, Yon-Ho. "Non-linear vibration analysis techniques for multi-degree-of-freedom systems." Thesis, Imperial College London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.313961.

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Prodduturi, Sharath Chandra. "A six-degree-of-freedom launch vehicle simulator for range safety analysis." [Gainesville, Fla.] : University of Florida, 2007. http://purl.fcla.edu/fcla/etd/UFE0020782.

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Gurbuz, Sarper. "Design And Construction Of A Six Degree Of Freedom Platform." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12607806/index.pdf.

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ABSTRACT DESIGN AND CONSTRUCTION OF A SIX DEGREE OF PLATFORM G&uuml<br>rb&uuml<br>z, Sarper M.S., Department of Mechanical Engineering Supervisor: Prof. Dr. Tuna BALKAN Co-Supervisor: Prof. Dr. M. A. Sahir ARIKAN November 2006, 83 pages In this thesis a six degree of freedom (DOF) parallel manipulator is designed, developed and simulated virtually. The platform, which is specified and focused on in this thesis, is the specific solution for the generating the required data to simulate a land, airborne or sea vehicle&amp<br>#8217<br>s motion trajectory in the laboratory environment. After explaining the need for such platforms for the military industry, the existing devices will be presented and discussed. Then the design period will be explained while pointing out the key performance criteria. The gathered performance values of the first design iteration will be presented and the modifications done in order to get to the expected performance will be given. Finally an investigation, in order to find the maximum payload that the platform can handle, is performed and presented. It is too hard to get to the desired performance values in mechanical design and manufacturing without using the CAD (Computer Aided Design) and CAM (Computer Aided Manufacturing) programs. In this thesis ProEngineer Wildfire&reg<br>is used for solid modeling the components, the sub-assemblies and the final assembly, ANSYS Workbench&reg<br>is used for investigating the modal behavior of the components, ADAMS&reg<br>2003 is used for the dynamic simulation of the mechanism, ADAMS/Flex&reg<br>, ADAMS/AutoFlex&reg<br>and ADAMS/Durability&reg<br>are used to analyze the results when flexibility is embedded into the system. At the end of the thesis in Appendix section five technical drawings with the nominal dimensions are given in order to clarify the construction period. By the regulations that must be obeyed in ASELSAN only the nominal dimensions are given in the technical drawings. All the dimensional and geometrical tolerances are given in the approved technical drawings that are proprietary of ASELSAN. Keywords: 6-Axis Motion Platform, Application of CAD and analysis programs, Electromechanical Design, Stewart Platform
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Bayram, Çağdaş Alizade Rasim. "Kinematic and dynamic analysis of spatial six degree of freedom parallel structure manipulator/." [s.l.]: [s.n.], 2003. http://library.iyte.edu.tr/tezler/master/makinamuh/T000281.pdf.

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Zainal, Mohd Shafiq Sharhan bin. "Simulation and experimental study for vibration analysis on rotating machinery." Thesis, Blekinge Tekniska Högskola, Institutionen för maskinteknik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-19769.

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This student thesis aims to analyze the unbalance on rotating machinery by simulation and experimental. The machinery flywheel rotation is modelled as a Single Degree of Freedom (SDOF) and Multi Degree of Freedom (MDOF) system. The model rotation unbalance is simulated by MATLAB. Then the vibration measurement is taken by experimental. In addition, the tachometer is used to determine the flywheel speed calibration. Finally, the rotating unbalance reduction simulation is performed with different parameter value to determine an optimum level of machinery rotation vibration. Unbalance on rotating machinery causes a harmful influence on the environment and machinery. The root cause of rotating unbalance is determined by the simulation and experimental analysis. The analysis result is used as an indicator for predicting machinery breakdown and estimating the correct predictive maintenance action for the machinery. In this project, the simulation and experimental analysis were carried out on a rotating component of the KICKR Snap Bike Trainer. The simulation and numerical analysis are performed by MATLAB programme. On the experimental part, the vibration measurement method and results were discussed. The suggestion of unbalance reduction were recommended base on measurement and vibration analysis results.
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VIANNA, FLAVIO LUIZ VAZ. "KINEMATIC ANALYSIS OF A MOTION SIMULATOR OF SIX DEGREE OF FREEDOM, TYPE PARALLEL STRUCTURE." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2002. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=3138@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Esta tese tem como principal objetivo o estudo do comportamento cinemático de um simulador de movimentos de 6 (seis) graus de liberdade, utilizando um novo conceito de análise computacional.Inicialmente, foi apresentado um software comercial, Working Model 3D, que teve seu desempenho matemático validado comparando-se seus resultados computacionais com os de outro software comercial, conhecido como Matlab.Foi introduzido, então, o conceito de mecanismos paralelos. Analisou-se, primeiramente, o mecanismo paralelo planar com três juntas rotacionais, conhecido como 3RRR. Foram feitas as análises cinemáticas e os estudos de algumas singularidades, apresentando-se ainda algumas recomendações para futuros trabalhos. O estudo do mecanismo paralelo usado em aplicações como simuladores de movimentos foi também apresentado, através da análise plataforma Stewart- Gough. A exeqüibilidade deste novo conceito de análise cinemática foi comprovada através de diversas simulações, incluindo o acoplamento de um objeto, representado por um chassi veicular, na plataforma.<br>This thesis presents the kinematic behavior of a motion simulator with six degrees of freedom,using a new computational analysis approach. A well-known simulation software with proven performance, Matlab, is used to validate another software environment, Working Model 3D, which is used to develop and study kinematic models of parallel mechanisms.Planar mechanism using three rotational joints, 3RRR, are studied through kinematic analysis and some singularity studies are developed, which resulted in some suggestions for future analysis and studies. Also, an introductory study of spatial-parallel mechanisms is presented regarding motion simulators with six degrees of freedom through simulation studies of Stewart-Gough platform. The feasibility of this new kinematic analysis was proven by means of several simulations, including the coupling of a vehicular chassis in the platform modeling.
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Oxford, John Taylor Jr. "Analysis of multiple flight control architectures on a six degree of freedom general aviation aircraft." Thesis, Wichita State University, 2012. http://hdl.handle.net/10057/5418.

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The thesis documents the expansion of model reference adaptive control (MRAC) research previously developed at Wichita State University. This research was conducted in response to the National Aeronautics and Space Administration’s Integrated Resilient Aircraft Control project. The project seeks to develop new types of flight control systems that have the ability to react to unforeseen changes in the aircraft or its environment. Desktop simulations conducted have shown the ability to meet the results desired from the project. A desktop simulation for a six degree of freedom model of a Hawker Beechcraft Bonanza is modified with multiple MRAC architectures. These architectures include a model follower and proportional derivative and proportional integral controllers. In addition, an artificial neural network is used to compensate for modeling error and changes in the aircraft or the environment. The adaptive elements within each artificial neural network range from simplified bias only neural networks to linear basis vectors with additional modification terms. Each architecture was simulated to determine the error between the desired and actual aircraft state. Further analysis was conducted to determine time delay margin within each control loop. Finally, a comparison of architectures was conducted to determine which controller would be suited for flight testing on the Hawker Beechcraft Bonanza testbed.<br>Thesis (M.S.)--Wichita State University, College of Engineering, Dept. of Aerospace Engineering
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畔上, 秀幸, Hideyuki Azegami, 昭慶 沖津, Akiyoshi Okitsu, 和之 備前 та Kazuyuki Bizen. "指数ウィンドウを用いたモードパラメータ同定法の提案". 日本機械学会, 1988. http://hdl.handle.net/2237/7231.

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"Dynamics and Motion of a Six Degree of Freedom Robot Manipulator." Thesis, 2012. http://hdl.handle.net/10388/ETD-2012-12-871.

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In this thesis, a strategy to accomplish pick-and-place operations using a six degree-of-freedom (DOF) robotic arm attached to a wheeled mobile robot is presented. This research work is part of a bigger project in developing a robotic-assisted nursing to be used in medical settings. The significance of this project relies on the increasing demand for elderly and disabled skilled care assistance which nowadays has become insufficient. Strong efforts have been made to incorporate technology to fulfill these needs. Several methods were implemented to make a 6-DOF manipulator capable of performing pick-and-place operations. Some of these methods were used to achieve specific tasks such as: solving the inverse kinematics problem, or planning a collision-free path. Other methods, such as forward kinematics description, workspace evaluation, and dexterity analysis, were used to describe the manipulator and its capabilities. The manipulator was accurately described by obtaining the link transformation matrices from each joint using the Denavit-Hartenberg (DH) notations. An Iterative Inverse Kinematics method (IIK) was used to find multiple configurations for the manipulator along a given path. The IIK method was based on the specific geometric characteristic of the manipulator, in which several joints share a common plane. To find admissible solutions along the path, the workspace of the manipulator was considered. Algebraic formulations to obtain the specific workspace of the 6-DOF manipulator on the Cartesian coordinate space were derived from the singular configurations of the manipulator. Local dexterity analysis was also required to identify possible orientations of the end-effector for specific Cartesian coordinate positions. The closed-form expressions for the range of such orientations were derived by adapting an existing dexterity method. Two methods were implemented to plan the free-collision path needed to move an object from one place to another without colliding with an obstacle. Via-points were added to avoid the robot mobile platform and the zones in which the manipulator presented motion difficulties. Finally, the segments located between initial, final, and via-points positions, were connected using straight lines forming a global path. To form the collision-free path, the straight-line were modified to avoid the obstacles that intersected the path. The effectiveness of the proposed analysis was verified by comparing simulation and experimental results. Three predefined paths were used to evaluate the IIK method. Ten different scenarios with different number and pattern of obstacles were used to verify the efficiency of the entire path planning algorithm. Overall results confirmed the efficiency of the implemented methods for performing pick-and-place operations with a 6-DOF manipulator.
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Books on the topic "Six Degree of Freedom Vibration Analysis"

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Maymon, Giora. Some engineering applications in random vibrations and random structures. American Institute of Aeronautics and Astronautics, 1998.

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Oran, Nicks Colby, and Langley Research Center, eds. Six degree-of-freedom "live" isolation system tests. National Aeronautics and Space Administration, Langley Research Center, 1986.

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Oran, Nicks Colby, and Langley Research Center, eds. Six degree-of-freedom "live" isolation system tests. National Aeronautics and Space Administration, Langley Research Center, 1986.

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Jet Propulsion Laboratory (U.S.), ed. Six degree of freedom active vibration damping for space application: Quarterly progress report, third quarter, January 1, 1993 through March 31, 1993. Intelligent Automation, Inc., 1993.

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Book chapters on the topic "Six Degree of Freedom Vibration Analysis"

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Osterholt, Douglas J., Nathanael C. Yoder, and Daniel Linehan. "Advances in Six Degree of Freedom Vibration Testing." In Topics in Modal Analysis I, Volume 5. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-2425-3_30.

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Lee, Chong-Won. "Multi-Degree-of-Freedom Rotor-Bearing Systems." In Vibration Analysis of Rotors. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8173-8_5.

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Preumont, André. "Random Response of Multi Degree of Freedom Systems." In Random Vibration and Spectral Analysis. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-2840-9_6.

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Preumont, André. "Random Response of a Single Degree of Freedom Oscillator." In Random Vibration and Spectral Analysis. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-2840-9_5.

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Kwak, Moon Kyu. "Vibration Analysis of Single-Degree-of-Freedom System." In Dynamic Modeling and Active Vibration Control of Structures. Springer Netherlands, 2021. http://dx.doi.org/10.1007/978-94-024-2120-0_2.

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Li, Chao, and Jian Qin Mao. "Adaptive Vibration Control on Six Degree-of-Freedom Magnetostrictive Smart Structure." In Materials Science Forum. Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-432-4.2199.

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Schoenherr, Tyler F. "Derivation of Six Degree of Freedom Shaker Inputs Using Sub-structuring Techniques." In Topics in Modal Analysis & Testing, Volume 9. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74700-2_2.

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Nasr, Aymen, Charfeddine Mrad, and Rachid Nasri. "Stability Analysis of One Degree of Freedom System Equipped with Friction Vibration Absorber." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52071-7_30.

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Martin, Luke A. "A Primer on Multiple Degree of Freedom Vibration Test for Aerospace and Military Applications." In Topics in Modal Analysis & Testing, Volume 9. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74700-2_27.

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Ringgaard, Kasper, and Ole Balling. "Operational Modal Analysis on a Six Degree of Freedom Parallel Manipulator: Reproducibility, Excitation and Pose Dependency." In Nonlinear Dynamics of Structures, Systems and Devices. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34713-0_33.

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Conference papers on the topic "Six Degree of Freedom Vibration Analysis"

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Yu, Xiang, Shijian Zhu, and Shuyong Liu. "Global Analyses of Multi-Degree-of-Freedom Nonlinear Vibration Isolation System." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34802.

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The abundant and complex dynamics of high-dimensional nonlinear systems have drawn increasing attentions in recent years, but further analyses have been confined because of the inefficiency of some analytic methods for high-dimensional systems. This paper focuses on the bifurcation and global analyses of a multi-degree-of-freedom nonlinear vibration isolation system using numerical methods. Firstly, the equations of motion of the multi-degree-of-freedom nonlinear vibration isolation system for onboard machine are formulated. Then, exhaustive bifurcation analyses are carried out and six branches are illustrated in the bifurcation diagrams revealing that several different types of stable motions may coexist in certain parameter regimes. A cell mapping method is modified to analyze the global characteristics including the locations and basins of the coexistent attractors of the multi-degree-of-freedom nonlinear vibration isolation system.
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Bell, John R., and Steven J. Rothberg. "Laser Vibrometry: The Complete 6 Degree-of-Freedom Model of Target Velocity Sensitivity." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8288.

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Abstract This paper presents the first analysis of the velocity sensed by a single laser vibrometer beam incident in an arbitrary direction on a target that is of substantial interest in engineering — a rotating shaft requiring three translational and three rotational co-ordinates to describe its vibratory motion fully. Six separate vibration sets, each a combination of motion parameters, appear in the full expression for vibration velocity sensitivity and it is not possible to resolve individual motion components within each set by arrangement, or even manipulation, of beams. While unambiguous measurement of torsional vibration is possible, measurement of radial, pitch and yaw vibrations is only possible by post-processing. Application of the new theory includes straightforward extension to include measurements made with multiple beams, underlining the model’s versatility in enabling the vibration engineer to determine the vibration component sensitivity of any measurement with any beam orientation.
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Jiang, Songyi, and Shanzhong (Shawn) Duan. "A Multibody Dynamics Approach for Vibration Analysis of Horizontal Axis Wind Turbine Blades." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-66365.

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This paper presents a 4-rigidbody segment model to describe a generic flexible blade of a horizontal axis wind turbine (HAWT). The element is made up of four rigid bodies in a chain structure fashion. The bodies of each element are connected by two universal joints at two ends, and one cylindrical joint in the middle. So each element possesses six degrees of freedom, including four degrees of freedom for bending, one degree of freedom for axial stretching, and one degree of freedom for torsion. A spring is applied for each degree of freedom to describe the stiffness of the component. Through potential energy equivalence between a Timoshenko beam and these springs, the stiffness of each spring is calculated. A blade can then be simplified to several such elements connecting together. With the 4-rigidbody segment model, blades of a HAWT are built up. Their equations of motion are then derived through Kane’s equations. The commercial computational multibody dynamic analysis software Autolev is applied for motion and vibration simulation of blades under given initial conditions. Simulation results indicate that the 4-rigidbody segment model is appropriate to analyze dynamic loads, modal, and vibration of HAWT blades for fixed and moving references at high computational efficiency and low simulation costs. The method can also be served as a good solution to simulate dynamical behaviors of wind turbines and avoid their fatigue failures in time domain.
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Guo, Dan, Fu-Lei Chu, and Yong-Yong He. "Vibration Analysis of Rotor With Transverse Surface Cracks." In ASME Turbo Expo 2003, collocated with the 2003 International Joint Power Generation Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/gt2003-38041.

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The vibration of cracked rotor is investigated by numerical method. The FEM is used to model the rotor with cracks. Six degrees of freedom are considered in each elemental node. Full 6×6 flexibility matrix is deduced by Papadopoulos and Dimarogonas’ method, and 12×12 stiffness matrix of cracked element is derived. The influence of one or more cracks on the natural frequencies and different modals (including bending modal, torsion modal and longitudinal modal) of cracked rotor is explored. Vibration responses of rotor with open cracks or breathing crack loading by eccentric force and rotor gravity force are obtained and analyzed by numerical integer method and spectral technology. The coupling of lateral, longitudinal and torsion vibrations due to transverse surface crack is studied. It is concluded that the above research is useful in detecting crack in rotor.
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Jiang, Songyi, and Shanzhong Shawn Duan. "A Four-Rigid-Body Element Model and Computer Simulation for Flexible Components of Wind Turbines." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63159.

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In this paper, a four-rigid-body element model is presented for description of flexible components of a horizontal axis wind turbine (HAWT). The element consists of four rigid bodies arranged in a chain structure fashion. The bodies of each element are linked by two universal joints at two ends, and one cylindrical joint at the middle. Thus each element has six degrees of freedom. They are four degrees of freedom for bending, one degree of freedom for torsion, and one degree of freedom for axial stretching. For each degree of freedom, a spring is used to describe the stiffness of the component. Stiffness of each spring is obtained by using potential energy equivalence between a Timoshenko beam and these springs. With these considerations, flexible components of a HAWT such as blades and tower may then be represented by connecting several such elements together. Based on four-rigid-body element model, the tower and blades of a HAWT are constructed. Their equations of motion are then derived via Kane’s dynamical method. Commercial computational multibody dynamic analysis software Autolev has been used for motion simulation of tower and blades under given initial conditions. Simulation results associated with the tower indicate that four-rigid-body element model is suitable for analysis of dynamic loads, modal, and vibration of wind turbines with respect to fixed and moving references at high computational efficiency and low simulation costs. The approach is also a good candidate for simulating dynamical behaviors of wind turbines and preventing their fatigue failures in time domain.
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Qiu, Hongyuan, and Jianming Yang. "Stochastic and Deterministic Vibration Analysis on Drill-String With Finite Element Method." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62563.

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Using Euler-Bernoulli beam theory, a finite element model with six degrees of freedom per node is developed for a drill-string assembly. The drill-string is driven by a DC motor on the top and is subjected to distributed loads due to its own weight as well as bit/formation interaction. The model is axial-torsional, lateral-torsional coupled. Under deterministic excitations, the model captures stick-slip behavior in drilling operation. Analysis on its negative effect on drilling performance are made, and potential mitigation measures are also discussed. In random model, the excitations to the drill-bit are modeled as combination of deterministic and random components. Monte Carlo (MC) simulation is employed to obtain the statistics of the response. Two cases of random excitation with different intensities are investigated. The results from MC simulation are compared against that from deterministic case.
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Sopanen, Jussi T., and Aki M. Mikkola. "Ball Bearing Vibration Analysis Including Localized and Distributed Defects." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48425.

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This study proposes the dynamic model of a deep groove ball bearing with six degrees of freedom. The model includes descriptions of non-linear Hertzian contact deformation and elastohydrodynamic fluid film. The geometry, material properties and diametral clearance of the bearing are given as the input to the proposed model. The bearing force and torque components are calculated from the relative displacements and velocities between bearing rings. Distributed defects such as the waviness of the inner and outer ring, and localized defects, such as inner and outer ring defects, are taken into consideration in the proposed model. The effect of the diametral clearance of the bearing on the natural frequencies and vibration response of the rotor bearing system is studied. The diametral clearance is found to have a significant effect on the level of vibration as well as on the natural frequencies. Low-order waviness, also known as out-of-roundness, is found to generate vibration at frequencies of the waviness order multiplied by the rotation speed. Localized defects in the inner and outer ring are found to generate vibrations at bearing defect frequencies. The simulation results are in line with the analytical and experimental results available in literature. The proposed ball bearing model could be used in the general multibody or rotor dynamics computer code as an interference element between the rotor and the housing.
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Eritenel, Tugan, and Robert G. Parker. "Computational Nonlinear Vibration Analysis of Gear Pairs Using a Three-Dimensional Model." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87485.

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This work investigates the nonlinear vibration of gear pairs, where the nonlinearity is due to portions of gear teeth contact lines losing contact (partial contact loss). The gears are modeled as rigid bodies that admit motion in six degrees of freedom. A network of distributed stiffnesses models the nonlinear gear contact. The distributed stiffness scheme is obtained by discretizing the kinematic contact lines into segments, each with the possibility of losing contact. Whether these segments are actually in contact or not is determined by the gear deflections and tooth modifications. The modeling is verified with finite element analysis and experimental measurements from the literature. The combination of a translational and a tilting spring is proven to be identical to the distributed stiffness model. This equivalent representation of the mesh identifies a nonlinear tilting mesh stiffness that accompanies the well-known translational gear mesh stiffness typically modeled by a single spring. Modal analysis reveals a mesh tilting vibration mode where this spring dominates, in addition to the mesh deflection vibration mode. Computational dynamic analysis of a helical gear pair near the natural frequencies of the mesh tilting and deflection modes exhibit nonlinear vibrations. Both cases involve nonlinearity due to partial contact loss where only part of a nominal contact line loses contact at an instant.
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Hassanpour Asl, P., H. Mehdigholi, and E. Esmailzadeh. "Vibration Analysis of Axially Loaded Bridges Traversed by Accelerating Vehicles With Passenger Dynamics." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58624.

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An investigation into the dynamics of vehicle-passenger-structure-induced vibration of suspension bridges traversed by accelerating vehicles is carried out. The vehicle including the driver and passengers is modeled as a half-car planer model with six degrees-of-freedom. In addition, the stiffness of compliant bushings at the connecting points of the shock absorbers to the body is considered. The bridge is assumed to obey the Timoshenko beam theory with axial load and arbitrary conventional boundary conditions. The roughness of the bridge is assumed as a differentiable function of location. Due to continuously moving the location of the variable loads on the bridge, and in the presence of damping force, the governing differential equations become complicated. The numerical simulations presented here are for the case of a vehicle traveling at a constant acceleration on a uniform bridge with rough surface and simply supported end conditions. The relationship between the bridge vibration characteristics, bridge roughness, and the vehicle speed and acceleration is rendered, which yields into search for a particular acceleration and speed that determines the maximum value of the dynamic deflection and the bending moment of the bridge. Results obtained from the Timoshenko beam theory are compared with those from the Euler-Bernoulli beam for which full agreements are found. Finally, the maximum deflection of the beam under moving loads is compared with that of the case with static loading.
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McNeill, Scot. "Extending Blind Modal Identification to the Underdetermined Case for Ambient Vibration." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-93140.

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The modal identification framework known as Blind Modal Identification (BMID) has recently been developed, drawing on techniques from Blind Source Separation (BSS). Therein, a BSS algorithm known as Second Order Blind Identification (SOBI) was adapted to solve the Modal IDentification (MID) problem. One of the drawbacks of the technique is that the number of modes identified must be less than the number of sensors used to measure the vibration of the equipment or structure. In this paper, an extension of the BMID method is presented for the underdetermined case, where the number of sensors is less than the number of modes to be identified. The analytic signal formed from measured vibration data is formed and the Second Order Blind Identification of Underdetermined Mixtures (SOBIUM) algorithm is applied to estimate the complex-valued modes and modal response autocorrelation functions. The natural frequencies and modal damping ratios are then estimated from the corresponding modal auto spectral density functions using a simple Single Degree Of Freedom (SDOF), frequency-domain method. Theoretical limitations on the number of modes identified given the number of sensors are provided. The method is demonstrated using a simulated six DOF mass-spring-dashpot system excited by white noise, where displacement at four of the six DOF is measured. All six modes are successfully identified using data from only four sensors. The method is also applied to a more realistic simulation of ambient building vibration. Seven modes in the bandwidth of interest are successfully identified using acceleration data from only five DOF. In both examples, the identified modal parameters (natural frequencies, mode shapes, modal damping ratios) are compared to the analytical parameters and are demonstrated to be of good quality.
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Reports on the topic "Six Degree of Freedom Vibration Analysis"

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Wissink, Andrew, Jude Dylan, Buvana Jayaraman, et al. New capabilities in CREATE™-AV Helios Version 11. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/40883.

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CREATE™-AV Helios is a high-fidelity coupled CFD/CSD infrastructure developed by the U.S. Dept. of Defense for aeromechanics predictions of rotorcraft. This paper discusses new capabilities added to Helios version 11.0. A new fast-running reduced order aerodynamics option called ROAM has been added to enable faster-turnaround analysis. ROAM is Cartesian-based, employing an actuator line model for the rotor and an immersed boundary model for the fuselage. No near-body grid generation is required and simulations are significantly faster through a combination of larger timesteps and reduced cost per step. ROAM calculations of the JVX tiltrotor configuration give a comparably accurate download prediction to traditional body-fitted calculations with Helios, at 50X less computational cost. The unsteady wake in ROAM is not as well resolved, but wake interactions may be a less critical issue for many design considerations. The second capability discussed is the addition of six-degree-of-freedom capability to model store separation. Helios calculations of a generic wing/store/pylon case with the new 6-DOF capability are found to match identically to calculations with CREATE™-AV Kestrel, a code which has been extensively validated for store separation calculations over the past decade.
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