RESEARCH PAPERS: Mechanisms Papers

A Variational Formulation for the Nonlinear Finite Element Analysis of Flexible Linkages: Theory, Implementation, and Experimental Results

[+] Author and Article Information
B. S. Thompson, C. K. Sung

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824

J. Mech., Trans., and Automation 106(4), 482-488 (Dec 01, 1984) (7 pages) doi:10.1115/1.3258598 History: Received June 13, 1984; Online November 19, 2009


A variational formulation is presented for the nonlinear finite element analysis of general planar mechanisms comprising assemblages of elastic bodies connected by revolute or sliding joints. A geometrically nonlinear theory is developed to describe the elastic behavior in the axial and flexural modes, and the model for the dynamical behavior includes inertial coupling terms linking the rigid-body and elastic kinematic motions. The formulation developed herein is employed to predict the elastodynamic response of experimental four bar linkages and slider crank mechanisms.

Copyright © 1984 by ASME
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