An Energy-Based Framework for Nonlinear Kinetostatic Modeling of Compliant Mechanisms Utilizing Beam Flexures

Author:

Chen Guimin1,Ma Fulei2,Bai Ruiyu3,Zhu Weidong4,Magleby Spencer P5,Howell Larry L6

Affiliation:

1. School of Mechanical Engineering No. 28 West Xianning Road Xi'an, Shaanxi 710049 China

2. No.2 south taibai Road xi'an, shaanxi 710071 China

3. P. O. Box 181, Xidian University No.2, South Taibai Road Xi'an 710071, Shaanxi, Shaanxi 710071 China

4. Department of Mechanical Engineering 1000 Hilltop Circle Baltimore, MD 21250

5. 270 CB Ira A. Fulton College of Engineering and Technolog Provo, UT 84602

6. ASB Provo, UT 84602

Abstract

Abstract Although energy-based methods have advantages over the Newtonian methods for kinetostatic modeling, the geometric nonlinearities inherent in deflections of compliant mechanisms preclude most of the energy-based theorems. Castigliano's first theorem and the Crotti-Engesser theorem, which don't require the problem being solved to be linear, are selected to construct the energy-based kinetostatic modeling framework for compliant mechanisms in this work. Utilization of these two theorems requires explicitly formulating the strain energy in terms of deflections and the complementary strain energy in terms of loads, which are derived based on the beam constraint model. The kinetostatic modeling of two compliant mechanisms are provided to demonstrate the effectiveness of the explicit formulations in this framework derived from Castigliano's first theorem and the Crotti-Engesser theorem.

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Graphics and Computer-Aided Design,Computer Science Applications,Software

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