RESEARCH PAPERS: Mechanisms and Robotics

A Simple and Accurate Method for Determining Large Deflections in Compliant Mechanisms Subjected to End Forces and Moments

[+] Author and Article Information
A. Saxena

University of Pennsylvania, Mechanical Engineering and Applied Mechanics, Philadelphia, PA 19104

S. N. Kramer

The University of Toledo Mechanical, Industrial and Manufacturing Engineering, Toledo, OH, 43606

J. Mech. Des 120(3), 392-400 (Sep 01, 1998) (9 pages) doi:10.1115/1.2829164 History: Received June 01, 1997; Revised May 01, 1998; Online December 11, 2007


Compliant members in flexible link mechanisms undergo large deflections when subjected to external loads. Because of this fact, traditional methods of deflection analysis do not apply. Since the nonlinearities introduced by these large deflections make the system comprising such members difficult to solve, parametric deflection approximations are deemed helpful in the analysis and synthesis of compliant mechanisms. This is accomplished by representing the compliant mechanism as a pseudo-rigid-body model. A wealth of analysis and synthesis techniques available for rigid-body mechanisms thus become amenable to the design of compliant mechanisms. In this paper, a pseudo-rigid-body model is developed and solved for the tip deflection of flexible beams for combined end loads. A numerical integration technique using quadrature formulae has been employed to solve the large deflection Bernoulli-Euler beam equation for the tip deflection. Implementation of this scheme is simpler than the elliptic integral formulation and provides very accurate results. An example for the synthesis of a compliant mechanism using the proposed model is also presented.

Copyright © 1998 by The American Society of Mechanical Engineers
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