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Effect of Beam Geometry on the Accuracy of Pseudo-Rigid-Body Models

[+] Author Affiliations
Venkatasubramanian Kalpathy Venkiteswaran, Hai-Jun Su

The Ohio State University, Columbus, OH

Paper No. DETC2015-47267, pp. V05AT08A020; 10 pages
doi:10.1115/DETC2015-47267
From:
  • ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5A: 39th Mechanisms and Robotics Conference
  • Boston, Massachusetts, USA, August 2–5, 2015
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5712-0
  • Copyright © 2015 by ASME

abstract

Pseudo-rigid-body models serve as a convenient numeric tool for the analysis of compliant elements. However, most PRB models are derived on the basis of Euler beam equations, without accounting for the effect of deformation on beam geometry. In this paper, we look at the effects of deformation on length and cross section of the beam, and try to understand these phenomena with respect to some dimensionless parameters. These effects are more pronounced for short beams of soft materials. A few PRB models listed in literature are compared against FEA results, and optimization methods are used to determine more accurate PRB models for varying beam geometry. A study of these results will guide the discussion on how the accuracy of the PRB models changes with the beam parameters. An example of a compliant mechanism which experiences significant axial loads will be used to prove the validity of these results.

Copyright © 2015 by ASME
Topics: Geometry

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