Symmetric Equations for Evaluating Maximum Torsion Stress of Rectangular Beams in Compliant Mechanisms

作     者：Gui-Min Chen Larry L.Howell 

作者机构：State Key Laboratory for Manufacturing Systems Engineering Xi'an Jiaotong University Department of Mechanical Engineering Brigham Young University 

出 版 物：《Chinese Journal of Mechanical Engineering》 (中国机械工程学报（英文版）)

年 卷 期：2018年第31卷第1期

页      面：34-40页

核心收录：

学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 

基　　金：Supported by National Science Foundation Research of the United States (Grant No.1663345) National Natural Science Foundation of China(Grant No.51675396) Fundamental Research Fund for the Central Universities(Grant No.12K5051204021) 

主　　题：Compliant mechanism Maximum torsion stress Rectangular beam Lamina emergent joint 

摘      要：There are several design equations available for calculating the torsional compliance and the maximum torsion stress of a rectangular cross-section beam, but most depend on the relative magnitude of the two dimensions of the crosssection(i.e., the thickness and the width). After reviewing the available equations, two thickness-to-width ratio Independent equations that are symmetric with respect to the two dimensions are obtained for evaluating the maximum torsion stress of rectangular cross-section beams. Based on the resulting equations, outside lamina emergent torsional joints are analyzed and some useful design Insights are obtained. These equations, together with the previous work on symmetric equations for calculating torsional compliance, provide a convenient and effective way for designing and optimizing torsional beams in compliant mechanisms.