Kinetostatic Modeling of Piezoelectric Displacement Amplifiers Based on Matrix Displacement Method

Song, Dezhi; Zhu, Benliang; Li, Hai; Zhang, Xianmin

doi:10.1007/978-3-030-89098-8_39

Cited by 1 publication

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“…Investigations have shown that research on static modeling of the compliant-amplifying mechanism has attracted a great deal of attention, and the methods used [ 18 ] mainly include Castigliano’s second theorem [ 2 , 19 , 20 , 21 , 22 ], the flexibility matrix method [ 23 , 24 , 25 , 26 , 27 , 28 ], the matrix displacement method [ 1 , 29 , 30 ], the elastic beam theory [ 31 , 32 , 33 , 34 , 35 , 36 , 37 ], and kinematic principles [ 35 , 38 , 39 , 40 , 41 , 42 ]. Based on these methods, the effects of the main parameters of the mechanism on its static characteristics have been analyzed, and the relationship between the input and output displacements of the mechanism was established.…”

Section: Introductionmentioning

confidence: 99%

Analysis and Optimization of Dynamic and Static Characteristics of the Compliant-Amplifying Mechanisms

et al. 2023

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Compliant amplifying mechanisms are used widely in high-precision instruments driven by piezoelectric actuators, and the dynamic and static characteristics of these mechanisms are closely related to instrument performance. Although the majority of existing research has focused on analysis of their static characteristics, the dynamic characteristics of the mechanisms affect their response speeds directly. Therefore, this paper proposes a comprehensive theoretical model of compliant-amplifying mechanisms based on the multi-body system transfer matrix method to analyze the dynamic and static characteristics of these mechanisms. The effects of the main amplifying mechanism parameters on the displacement amplification ratio and the resonance frequency are analyzed comprehensively using the control variable method. An iterative optimization algorithm is also used to obtain specific parameters that meet the design requirements. Finally, simulation analyses and experimental verification tests are performed. The results indicate the feasibility of using the proposed theoretical compliant-amplifying mechanism model to describe the mechanism’s dynamic and static characteristics, which represents a significant contribution to the design and optimization of compliant-amplifying mechanisms.

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