Decentralized vibration control of a voice coil motor-based Stewart parallel mechanism: Simulation and experiments

Tang, Jie; Cao, Dengqing; Yu, Tian-Hu

doi:10.1177/0954406218756941

Cited by 19 publications

(8 citation statements)

References 15 publications

(12 reference statements)

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“…A nonlinear dynamic model of the Stewart vibration reduction platform was presented by Wu. 7 Tang et al 8 proposed a voice coil motor-based Stewart parallel mechanism in order to reduce decentralized vibration. The decentralized control theory was employed to design the controller for the linearized system.…”

Section: Introductionmentioning

confidence: 99%

Grey relation analysis of natural frequency and semi-active robust optimal control of a multi-dimensional isolator based on parallel mechanism and magneto-rheological damper

Gao

Niu

Jia

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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For isolating multi-dimensional vibrations experienced by precise facilities carried on a vehicle, a novel isolator is proposed based on 2-RPC/2-SPC parallel mechanism with magneto-rheological dampers. Kinematics and dynamics of the isolator are analyzed by geometrics and the Lagrange method. Grey relation analysis approach is conducted to determine the contributions of geometric parameters on natural frequency conveniently. Through analysis, the first order natural frequency of the isolator is affected by the length of the fixed platform most significantly. Due to manufacturing and assembling errors which could not be avoided in the isolator, robust optimal control algorithm is conducted to ensure control effect and robustness of the isolator at the same time. The gain of robust optimal control algorithm is obtained by deducing and solving linear matrix inequality. Compared to passive control, velocity root mean square values of robust optimal semi-active control decreased obviously in horizontal, longitudinal, vertical, and roll directions.

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Section: Introductionmentioning

confidence: 99%

Grey relation analysis of natural frequency and semi-active robust optimal control of a multi-dimensional isolator based on parallel mechanism and magneto-rheological damper

Gao

Niu

Jia

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…12,13 The research focus of the isolator structured by PM has been expanding, from the degree of freedom, spatial configuration, natural frequency, and kinematics analysis of the isolator to the singular configuration analysis, dynamic response, structural parameter characteristics, accuracy stability, and system reliability. [14][15][16][17][18][19][20][21] Li et al 14 proposed a vibration isolator based on singular-parallel mechanisms and studied the isolator's natural frequency. Zhao et al 15 presented a parallel mechanism and carried out the kinematic analysis.…”

Section: Introductionmentioning

confidence: 99%

“…Zhao et al 15 presented a parallel mechanism and carried out the kinematic analysis. Tang et al 16 studied the vibration problem using the Stewart mechanism, whose dynamic equation was derived. Dong et al 17 presented a dynamic vibration absorber.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response and time-variant reliability analysis of an eight-rod shock isolator

Liu

Huang

Yan

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The operation of a warship is commonly affected by shock loads in different directions during sailing in a rough sea, which can decrease the precision of the shipboard equipment. To improve the shock resistance performance of the shipboard equipment, an isolator is usually installed to isolate it from the vibration of the ship deck. The paper proposes a method for dynamic response and time-variant reliability analysis of an eight-rod shock isolator (ERSI). ERSI has a novel symmetrical structure, which can improve the utilization of the isolation rods compared with the classical parallel mechanism. The isolator is modeled using Denavit-Hartenberg (D-H) convention and screw theory. Then, Duhamel integral is employed to derive the dynamic response to the isolator after decoupling the governing equation using the modal analysis method. Considering impacts of uncertain factors, this paper also presents a practical method for time-variant reliability analysis of ERSI. Finally, a discussion of the practical example of this method along with a detailed analysis to evaluate the efficiency of the proposed method is presented.

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“…The determination of forces and moments is described in [33]. The parametric vibrations of a symmetric Stewart platform are studied in [34], and their damping in [35]. The study of some defects for a Stewart platform is discussed in [36], the solution being given with the aid of a control.…”

Section: Introductionmentioning

confidence: 99%

On the Vibrations of a Rigid Solid Hung by Kinematic Chains

et al. 2022

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In this paper we consider two situations. In the first, all kinematic chains are elastic, while the second situation is characterized by one rigid kinematic chain, with the rest of them being elastic. In addition, the kinematic joints are considered to be rigid. The calculations are performed using the screw coordinates. For the free vibrations of the rigid solid we determined the rigidity matrix and the eigenpulsations in both cases. It was proved that the results in the second case cannot be considered as limits for the results of the first situation, putting infinite values for the elements of the rigidity matrix of one kinematic chain. We also developed the theory for the forced vibrations of the system. A numerical application is considered and a great variety of cases are developed and discussed. The results obtained for the forced vibrations are presented and discussed. The paper combines elastic and rigid kinematic chains, as well as general configurations of the kinematic chains. The method presented here may be used for any number of kinematic chains, no matter if the structure is symmetrical or asymmetrical.

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Decentralized vibration control of a voice coil motor-based Stewart parallel mechanism: Simulation and experiments

Cited by 19 publications

References 15 publications

Grey relation analysis of natural frequency and semi-active robust optimal control of a multi-dimensional isolator based on parallel mechanism and magneto-rheological damper

Grey relation analysis of natural frequency and semi-active robust optimal control of a multi-dimensional isolator based on parallel mechanism and magneto-rheological damper

Dynamic response and time-variant reliability analysis of an eight-rod shock isolator

On the Vibrations of a Rigid Solid Hung by Kinematic Chains

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