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Robotica: decoupled elastostatic stiffness modeling of hybrid robots

Published online by Cambridge University Press:  24 May 2024

Baoyu Wang Open the ORCID record for Baoyu Wang [Opens in a new window] ,
Peixing Li ,
Chao Yang Open the ORCID record for Chao Yang [Opens in a new window] ,
Xudong Hu  and
Yanzheng Zhao
Baoyu Wang
Affiliation:
School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou, China
Peixing Li
Affiliation:
School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai, China
Chao Yang
Affiliation:
College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing, China
Xudong Hu*
Affiliation:
School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou, China
Yanzheng Zhao*
Affiliation:
Research Institute of Robotics, Shanghai Jiao Tong University, Shanghai, China
*
Corresponding authors: Xudong Hu; Email: [email protected], Yanzheng Zhao; Email: [email protected]
Corresponding authors: Xudong Hu; Email: [email protected], Yanzheng Zhao; Email: [email protected]
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Abstract

A decoupling method is proposed for the elastic stiffness modeling of hybrid robots based on the rigidity principle, screw theory, strain energy, and Castigliano’s second theorem. It enables the decoupling of parallel and serial modules, as well as the individual contributions of each elastic component to the mechanism’s stiffness performance. The method is implemented as follows: (1) formulate limb constraint wrenches and corresponding limb stiffness matrix based on the screw theory and strain energy, (2) formulate the overall stiffness matrix of parallel and serial modules corresponding to end of the hybrid robots based on the rigidity principle, principle of virtual work, the wrench transfer formula, and strain energy methods, and (3) obtain and decouple the overall stiffness matrix and deflection of the robot based on the Castigliano’s second theorem. Finally, A planar hybrid structure and the 4SRRR + 6R hybrid robot are used as illustrative examples to implement the proposed method. The results indicate that selectively enhancing the stiffness performance of the mechanism is the most effective approach.

Keywords

hybrid robotstiffnessstrain energyscrew theory
Type
Research Article
Information
Robotica , Volume 42 , Issue 7 , July 2024 , pp. 2309 - 2327
Copyright
© The Author(s), 2024. Published by Cambridge University Press

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