Dynamic modeling and control of a 6-DOF micro-vibration simulator

Yang, Jianfeng; Xu, Zhenbang; Wu, Qingwen; Zhu, Ming; He, Shuai; Qin, Chao

doi:10.1016/j.mechmachtheory.2016.06.011

Cited by 57 publications

(29 citation statements)

References 33 publications

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“…The bending arm can be assumed to be a curve bending beam for a wide range of motion, and the center line of the curved part is a circular arc curve. Kane's formulation can be used to establish its dynamic model [16][17][18][19], and the finite element method is an effective way that can be used to discretize the physical model of curve bending beam components. As shown in Figure 5, the bending arm is divided into beam elements.…”

Section: Kinematics Analysismentioning

confidence: 99%

Dynamics Analysis of the Rigid‐Flexible Coupling Lifting Comprehensive Mechanism for a Rotary Dobby

Wei

Jin

Zhan

et al. 2019

Mathematical Problems in Engineering

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This paper addresses the problem of dynamics analysis of the rigid-flexible coupling lifting comprehensive mechanism for a rotary dobby, which is the important part of the loom. To provide a physical model basis for a precise dynamics model, the finite element method was used to discretize the bending arm of the rotary dobby effectively. Combining with the modal synthesis techniques, the dynamic model of the bending arm was established by using Kane’s formulation, and it laid a foundation for analyzing the dynamic performance of the heald frame. By comparing virtual prototype simulation results with the numerical calculation results of the bending arm, the correctness of this model was verified. Based on the established dynamic model, the modal truncation method is used to simplify the dynamic model; in addition, the influence of parameters such as the speed of the dobby, the warp tension, the movement distance of the heald frame, and the thickness of the bending arm on the dynamic characteristics of the heald frame was analyzed. Last, the sensitivity analysis (SA) method is used to analyze the effects of each parameter. The results show that it is appropriate to select the first four modes to calculate, and increasing the speed greatly or increasing the warp tension, the shedding performance is obviously worse, while the shedding performance of the loom can be optimized by reducing the shedding range or increasing the thickness of the bending arm.

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Section: Kinematics Analysismentioning

confidence: 99%

Dynamics Analysis of the Rigid‐Flexible Coupling Lifting Comprehensive Mechanism for a Rotary Dobby

Wei

Jin

Zhan

et al. 2019

Mathematical Problems in Engineering

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“…In order to provide a relatively stable working environment for the satellite payloads so that they are able to function properly, it is necessary to attenuate these disturbances effectively at some frequency ranges. Over past decades, the vibration control method has already become a bottle-neck technology conundrum for high-resolution satellites, which has attracted the attention of the researchers both at home and abroad (Liu et al., 2015; Meng and Zhou, 2015; Wu et al., 2015; Sun et al., 2016; Yang et al., 2016; Wang et al., 2016).…”

Section: Introductionmentioning

confidence: 99%

Dynamic modeling and experimental analyses of Stewart platform with flexible hinges

Jiao

et al. 2018

Journal of Vibration and Control

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A new dynamic model of the Stewart platform with flexible hinges is proposed based on the Kane equation combined with the principle of virtual powers. Firstly, the model and coordinates introduced are described. Specifically, the velocity and acceleration of each part are obtained through kinematics analysis. Secondly, balance equations are subsequently formulated using the principle of virtual powers. Noting that the vibration amplitude of satellites is very small in the space microgravity environment, a linearly simplified form of the dynamic equation of the Stewart platform with flexible hinges is obtained. Finally, the validity of the equations is experimentally and numerically verified, and it is also demonstrated that the proposed platform possesses a good vibration isolation performance. All the results presented in this paper lay the foundation for further study on vibration control using a Stewart platform.

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“…Typically, the active vibration control of Stewart platforms is employed to isolate 6-DOF vibrations in wide frequency range. [9][10][11][12][13] With respect to active or semiactive vibration control systems, pure passive vibration system commonly has higher reliability, lower development cost, easier maintenance, and without independence of external power. 14 However, to extend the effective bandwidth of passive linear isolator a big mass and/or a small stiffness is desired, but it also results in the system being cumbersome or of lower loading capacity.…”

Section: Introductionmentioning

confidence: 99%

“…Typically, the active vibration control of Stewart platforms is employed to isolate 6-DOF vibrations in wide frequency range. 9–13…”

Section: Introductionmentioning

confidence: 99%

A six degree of freedom passive vibration isolator with quasi-zero-stiffness-based supporting

Tuo

Deng

et al. 2018

Journal of Low Frequency Noise, Vibration and Active Control

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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 quasizero-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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Dynamic modeling and control of a 6-DOF micro-vibration simulator

Cited by 57 publications

References 33 publications

Dynamics Analysis of the Rigid‐Flexible Coupling Lifting Comprehensive Mechanism for a Rotary Dobby

Dynamics Analysis of the Rigid‐Flexible Coupling Lifting Comprehensive Mechanism for a Rotary Dobby

Dynamic modeling and experimental analyses of Stewart platform with flexible hinges

A six degree of freedom passive vibration isolator with quasi-zero-stiffness-based supporting

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