Technical Briefs

Snap-Through of Shallow Elastic Arches Under End Moments

[+] Author and Article Information
Raymond H. Plaut

Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061rplaut@vt.edu

J. Appl. Mech 76(1), 014504 (Nov 05, 2008) (3 pages) doi:10.1115/1.3000020 History: Received April 11, 2008; Revised September 14, 2008; Published November 05, 2008

Snap-through of buckled beams or shallow arches may be utilized in some MEMS devices. Such behavior can be induced by applied moments at the ends. A simply-supported uniform shallow elastic arch is analyzed. For equal end moments, the critical value is compared for arches with a sinusoidal shape, a circular shape, and a shape that maximizes the critical moment. For unequal moments, the effect of the amount of loading asymmetry on the critical value is determined for sinusoidal arches.

Copyright © 2009 by American Society of Mechanical Engineers
Topics: Arches , Shapes
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Grahic Jump Location
Figure 1

Schematic of the shallow arch in dimensional form

Grahic Jump Location
Figure 2

Critical moment mcr versus length β for equal end moments (α=0)

Grahic Jump Location
Figure 3

Normalized critical moment mcr versus the asymmetry parameter α for the sinusoidal arch



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