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research-article

A pseudo-static model for dynamic analysis of distributed compliant mechanisms

[+] Author and Article Information
Mingxiang Ling

State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China; Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999, China; No.28, Mianshan road, Mianyang, China
ling_mx@163.com

Larry L Howell

ASME Membership, Department of Mechanical Engineering, Brigham Young University, Provo, Utah, 84602, USA; 435S CTB, Brigham Young University, Provo, UT
lhowell@byu.edu

Junyi Cao

State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China; No.64, Xianning road, Xi’an, China
caojy@mail.xjtu.edu.cn

Zhou Jiang

State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China; No.64, Xianning road, Xi’an, China
jiangzhou_xy@163.com

1Corresponding author.

ASME doi:10.1115/1.4040700 History: Received January 12, 2018; Revised June 22, 2018

Abstract

This paper presents a pseudo-static modeling methodology for dynamic analysis of distributed compliant mechanisms to provide accurate and efficient solutions. First, a dynamic stiffness matrix of the flexible beam is deduced, which has the same definition and a similar form as the traditional static compliance/stiffness matrix but is frequency-dependent. Second, the pseudo-static modeling procedure for the dynamic analysis is implemented in a statics-similar way. Then, all the kinematic, static and dynamic performances of compliant mechanisms can be analyzed based on the pseudo-static model. The superiority of the proposed method is that when it is used for the dynamic modeling of compliant mechanisms, the traditional dynamic modeling procedures, such as the calculation of elastic and kinetic energies as well as using the Lagrange's equation, are avoided and the dynamic modeling is converted to a statics-similar problem. Comparison of the proposed method with an elastic-beam-based model in previous literature and finite element analysis for an exemplary XY precision positioning stage reveals its high accuracy and easy operation.

Copyright (c) 2018 by ASME
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