Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms
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.
L. L. Howell and A. Midha, "Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms," Journal of Mechanical Design, American Society of Mechanical Engineers (ASME), Jan 1996.
The definitive version is available at https://doi.org/10.1115/1.2826101
Mechanical and Aerospace Engineering
Keywords and Phrases
Approximation; Deflection; Compliant Mechanisms; Systems Analysis; Cantilever Beams; Design
Article - Journal
© 1996 American Society of Mechanical Engineers (ASME), All rights reserved.