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Technical Brief

Accuracy Assessment and Improvement of the Pseudo-Rigid-Body Model for Dynamic Analysis of Compliant Parallel-Guiding Mechanisms

[+] Author and Article Information
Na Li

Department of Mechanical and Electrical Engineering, Hebei Agricultural University, Baoding, 071001, PR China; Department of Mechanical and Aerospace Engineering, The Ohio State University, Columbus, OH43210, USA
res_lina@126.com

Hai-Jun Su

Department of Mechanical and Aerospace Engineering, The Ohio State University, Columbus, OH43210, USA
su.298@osu.edu

Xianpeng Zhang

Department of Mechanical and Electrical Engineering, Hebei Agricultural University, Baoding, 071001, PR China
zhang_xianpeng@126.com

1Corresponding author.

ASME doi:10.1115/1.4037186 History: Received January 04, 2017; Revised June 16, 2017

Abstract

Dynamic characteristics analysis is very important for the design and application of compliant mechanisms, especially for dynamic and control performance in high speed applications. Although pseudo-rigid-body models have been extensively studied for kinetostatic analysis, their accuracy for dynamic analysis is relatively less evaluated. In this paper, we first evaluate the accuracy of PRB model by comparing against the continuum model using dynamic simulations. We then investigate the effect of mass distribution on dynamics of pseudo-rigid-body model for compliant parallel guided mechanisms. We show that when the beam mass is larger than 10% of the motion stage, the error is significant. We then propose a new PRB model with a corrected mass distribution coefficient which significantly reduces the error in prediction of natural frequency. Moreover, to verify the effectiveness of the new modified PRB model for large deflection dynamic analysis, we compared the dynamic response of three (continuum, original PRB and modified PRB) models subject to the same external excitation. The results show that the corrected PRB model is very effective in predicting responses in large deflection dynamic analysis. At last, a compliant double parallel guiding mechanism is used as a case study for validation of the new PRB model for dynamics of compliant mechanisms.

Copyright (c) 2017 by ASME
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