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Shorya Awtar1 e-mail: awtar@umich.edu

Summary: Shorya Awtar1
e-mail: awtar@umich.edu
Shiladitya Sen
e-mail: shiladit@umich.edu
Department of Mechanical Engineering,
University of Michigan,
2350 Hayward Street,
Ann Arbor, MI 48109
A Generalized Constraint Model
for Two-Dimensional Beam
Flexures: Nonlinear
Load-Displacement Formulation
To utilize beam flexures in constraint-based flexure mechanism design, it is important to
develop qualitative and quantitative understanding of their constraint characteristics in
terms of stiffness and error motions. This paper provides a highly generalized yet accu-
rate closed-form parametric load-displacement model for two-dimensional beam flexures,
taking into account the nonlinearities arising from load equilibrium applied in the de-
formed configuration. In particular, stiffness and error motions are parametrically quan-
tified in terms of elastic, load-stiffening, kinematic, and elastokinematic effects. The pro-
posed beam constraint model incorporates a wide range of loading conditions, boundary


Source: Awtar, Shorya - Department of Mechanical Engineering, University of Michigan


Collections: Engineering