Jacobian-Based Topology Optimization Method Using an Improved Stiffness Evaluation

Author:

Jin Mohui1,Zhang Xianmin2,Yang Zhou3,Zhu Benliang2

Affiliation:

1. College of Engineering, South China Agricultural University, Guangzhou 510642, China e-mail:

2. School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510641, China

3. College of Engineering, South China Agricultural University, Guangzhou 510642, China

Abstract

A Jacobian-based topology optimization method is recently proposed for compliant parallel mechanisms (CPMs), in which the CPMs' Jacobian matrix and characteristic stiffness are optimized simultaneously to achieve kinematic and stiffness requirement, respectively. Lately, it is found that the characteristic stiffness fails to ensure a valid topology result in some particular cases. To solve this problem, an improved stiffness evaluation based on the definition of stiffness is adopted in this paper. This new stiffness evaluation is verified and compared with the characteristic stiffness by using several design examples. In addition, several typical benchmark problems (e.g., displacement inverter, amplifier, and redirector) are solved by using the Jacobian-based topology optimization method to show its general applicability.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Guangdong Province

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference35 articles.

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2. Design of Bistable Compliant Mechanisms Using Precision–Position and Rigid-Body Replacement Methods;Mech. Mach. Theory,2010

3. Ananthasuresh, G. K., Kota, S., and Kikuchi, N., 1994, “Strategies for Systematic Synthesis of Compliant MEMS,” ASME Paper No. DSC-55-2.https://www.researchgate.net/publication/239061970_Strategies_for_Systematic_synthesis_of_Compliant_MEMS

4. Topological Synthesis of Compliant Mechanisms Using Multi-Criteria Optimization;ASME J. Mech. Des.,1997

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