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A Generalized Constraint Model for Two-Dimensional Beam Flexures

[+] Author Affiliations
Shorya Awtar, Shiladitya Sen

University of Michigan, Ann Arbor, MI

Paper No. DETC2009-87808, pp. 345-358; 14 pages
  • ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7: 33rd Mechanisms and Robotics Conference, Parts A and B
  • San Diego, California, USA, August 30–September 2, 2009
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4904-0 | eISBN: 978-0-7918-3856-3
  • Copyright © 2009 by ASME


To utilize beam flexures in constraint-based flexure mechanism design, it is important to develop a qualitative and quantitative understanding of their constraint characteristics in terms of stiffness and error motions. This paper provides a highly generalized yet accurate closed-form load-displacement model for two-dimensional beam flexures, taking into account the nonlinearities arising from load equilibrium applied in the deformed configuration. In particular, stiffness and error motions are parametrically quantified in terms of elastic, load-stiffening, kinematic, and elastokinematic effects. The proposed beam constraint model incorporates any general loading conditions, boundary conditions, initial curvature, and beam shape. The accuracy and effectiveness of the proposed beam constraint model is verified extensively by non-linear Finite Elements Analysis.

Copyright © 2009 by ASME



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