Modeling of a three degrees of freedom piezo-actuated mechanism

Zhu, Wei; Rui, Xiaoting

doi:10.1088/0964-1726/26/1/015006

Cited by 22 publications

(17 citation statements)

References 27 publications

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“…Guo et al (2018) modified the non-symmetrical formula of the asymmetrical BW model to express the dynamic model of PA. Zhou et al (2020, 2021) adopted the asymmetrical BW model to represent the hysteretic characteristics of the piezo-driven positioning stage. Zhu and Rui (2017) utilized the asymmetrical BW model to characterize the hysteresis of the three degrees of freedom piezo-actuated stage. According to the above literature, the following equations show the differential equation of the general asymmetric BW model:…”

Section: System Modelingmentioning

confidence: 99%

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Cai

Dong

Nagamune

2023

Journal of Intelligent Material Systems and Structures

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Hysteretic nonlinearity behavior ubiquitously occurs in mechanical systems, particularly in high-precision instruments, which severely degrades system output performance. Consequently, it is unavoidable to establish an accurate hysteretic model to describe the hysteretic characteristic of various mechanical systems and to compensate for the system error caused by hysteresis. The piezo-actuated mechanism is one of the most frequent mechanical systems that occurs hysteretic phenomenon, explained in detail in this survey. Bouc-Wen (BW) model has been popularly applied in modeling hysteretic attributes due to the outstanding advantage of simple structure and identification process. This paper presents the latest BW model applications and investigates different BW models, identification methods, and control strategies in light of various application demands based on the BW model systematically. In addition, this survey is meaningful in choosing an appropriate modeling approach and control means for system design according to the distinct requirements, and in providing future research direction.

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Section: System Modelingmentioning

confidence: 99%

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Cai

Dong

Nagamune

2023

Journal of Intelligent Material Systems and Structures

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“…For example, the transfer matrix method was employed for the frequency analysis of small-deflection compliant mechanisms in Ref. [280], which has the characteristics of easy programming and low matrix order. However, the transfer matrix method is advantageous for serial configurations and the existing solutions are difficult for plenty of the serial-parallel substructures in compliant mechanisms.…”

Section: Othermentioning

confidence: 99%

Kinetostatic and Dynamic Modeling of Flexure-Based Compliant Mechanisms: A Survey

Ling

Howell

Cao

et al. 2020

Applied Mechanics Reviews

163

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Flexure-based compliant mechanisms are becoming increasingly promising in precision engineering, robotics, and other applications due to the excellent advantages of no friction, no backlash, no wear, and minimal requirement of assembly. Because compliant mechanisms have inherent coupling of kinematic-mechanical behaviors with large deflections and/or complex serial-parallel configurations, the kinetostatic and dynamic analyses are challenging in comparison to their rigid-body counterparts. To address these challenges, a variety of techniques have been reported in a growing stream of publications. This paper surveys and compares the conceptual ideas, key advances, and applicable scopes, and open problems of the state-of-the-art kinetostatic and dynamic modeling methods for compliant mechanisms in terms of small and large deflections. Future challenges are discussed and new opportunities for extended study are highlighted as well. The presented review provides a guide on how to select suitable modeling approaches for those engaged in the field of compliant mechanisms.

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“…To develop the kinetostatic models for compliant mechanisms with small deflections, numerous modeling approaches have been proposed, for instance, the elastic beam theory [ 17 , 18 ], Castigliano’s second theorem [ 19 , 20 ], the compliance matrix approach [ 21 , 22 , 23 ], and the transfer matrix approach [ 24 , 25 , 26 ]. According to the literatures, the elastic beam theory and Castigliano’s second theorem are the most common ways for kinematic and static analyses of various flexure hinges and compliant mechanisms with relatively simple topology.…”

Section: Introductionmentioning

confidence: 99%

A Substructure Condensed Approach for Kinetostatic Modeling of Compliant Mechanisms with Complex Topology

Shao

2022

Micromachines

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Compliant mechanisms with complex topology have previously been employed in various precision devices due to the superiorities of high precision and compact size. In this paper, a substructure condensed approach for kinetostatic analysis of complex compliant mechanisms is proposed to provide concise solutions. In detail, the explicit relationships between the theoretical stiffness matrix, element stiffness matrix, and element transfer matrix for the common flexible beam element are first derived based on the energy conservation law. The transfer matrices for three types of serial–parallel substructures are then developed by combining the equilibrium equations of nodal forces with the transfer matrix approach, so that each branch chain can be condensed into an equivalent beam element. Based on the derived three types of transfer matrices, a kinetostatic model describing only the force-displacement relationship of the input/output nodes is established. Finally, two typical precision positioning platforms with complex topology are employed to demonstrate the conciseness and efficiency of this modeling approach. The superiority of this modeling approach is that the input/output stiffness, coupling stiffness, and input/output displacement relations of compliant mechanisms with multiple actuation forces and complex substructures can be simultaneously obtained in concise and explicit matrix forms, which is distinct from the traditional compliance matrix approach.

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Modeling of a three degrees of freedom piezo-actuated mechanism

Cited by 22 publications

References 27 publications

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Kinetostatic and Dynamic Modeling of Flexure-Based Compliant Mechanisms: A Survey

A Substructure Condensed Approach for Kinetostatic Modeling of Compliant Mechanisms with Complex Topology

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