Keywords
Compliant mechanism, maximum torsion stress, rectangular beam, lamina emergent joint
Abstract
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 cross-section (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.
Original Publication Citation
Chen, GM. & Howell, L.L. Chin. J. Mech. Eng. (2018) 31: 14. https://doi.org/10.1186/s10033-018-0214-9
BYU ScholarsArchive Citation
Chen, Guimin and Howell, Larry L., "Symmetric Equations for Evaluating Maximum Torsion Stress of Rectangular Beams in Compliant Mechanisms" (2018). Faculty Publications. 2072.
https://scholarsarchive.byu.edu/facpub/2072
Document Type
Peer-Reviewed Article
Publication Date
2018-02-27
Permanent URL
http://hdl.lib.byu.edu/1877/4026
Publisher
Springer Singapore
Language
English
College
Ira A. Fulton College of Engineering and Technology
Department
Mechanical Engineering
Copyright Status
© The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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