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Limitations in the Use of Small-Length Flexural Pivot in a Pseudo-Rigid-Body Model

[+] Author Affiliations
Vamsi Lodagala, Krutika Karthik, Ashok Midha

Missouri University of Science and Technology, Rolla, MO

Paper No. DETC2015-47914, pp. V05AT08A026; 11 pages
doi:10.1115/DETC2015-47914
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

This paper investigates the effective use of the pseudo-rigid-body model (PRBM) of a small-length flexural pivot (SLFP), examining its very definition, and providing helpful guidelines in the context of a compound compliant beam composed of both compliant and rigid segments. Traditionally, for convenience in modeling, the pseudo-rigid-body model of the small-length flexural pivot assumes the characteristic pivot to be placed at the center of the SLFP. It is also suggested that the length of the adjacent rigid segment is ten or more times larger than the length of the compliant segment. In recent times, a growing interest has been expressed to test this assumption and learn more about its limitations. This paper investigates the performance of the PRBM of the SLFP, for initially straight and initially curved compound compliant beams by varying the compliant to rigid segment length ratio. The error, defined by comparing the PRBM deflections with those obtained from the closed-form elliptic integral method, may be assigned an acceptable value in determining the limit value of the segment length ratio. Plots of the maximum deflection that may be obtained within an error limit of 3%, for various segment length ratios of a fixed-free, compound compliant beam are provided.

Copyright © 2015 by ASME
Topics: Modeling , Deflection , Errors

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