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Summary: Proceedings of the ASME 2009 International Design Engineering Technical Conferences &
Computers and Information in Engineering Conference
IDETC/CIE 2009
August 30 - September 2, 2009, San Diego, California, USA
DETC2009-87808
A GENERALIZED CONSTRAINT MODEL FOR TWO-DIMENSIONAL
BEAM FLEXURES
Shorya Awtar*
and Shiladitya Sen
Precision Systems Design Laboratory
Mechanical Engineering, University of Michigan
Ann Arbor MI 48109
ABSTRACT
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
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