Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms

[+] Author and Article Information
L. L. Howell

Mechanical Engineering Department, Brigham Young University, Provo, UT 84602

A. Midha

Elastic Mechanisms Laboratory, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J. Mech. Des 117(1), 156-165 (Mar 01, 1995) (10 pages) doi:10.1115/1.2826101 History: Received August 01, 1992; Revised August 01, 1993; Online January 25, 2008


Geometric nonlinearities often complicate the analysis of systems containing large-deflection members. The time and resources required to develop closed-form or numerical solutions have inspired the development of a simple method of approximating the deflection path of end-loaded, large-deflection cantilever beams. The path coordinates are parameterized in a single parameter called the pseudo-rigid-body angle. The approximations are accurate to within 0.5 percent of the closed-form elliptic integral solutions. A physical model is associated with the method, and may be used to simplify complex problems. The method proves to be particularly useful in the analysis and design of compliant mechanisms.

Copyright © 1995 by The American Society of Mechanical Engineers
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