Large-Displacement Finite Element Analysis of Flexible Linkages

[+] Author and Article Information
Zhijia Yang, J. P. Sadler

Mechanical Engineering Department, University of Kentucky, Lexington, KY 40506-0046

J. Mech. Des 112(2), 175-182 (Jun 01, 1990) (8 pages) doi:10.1115/1.2912590 History: Received March 01, 1988; Online June 02, 2008


A finite element model is derived for flexible planar linkages, treating the total mechanism displacements as the primary unknowns in the dynamic equations of motion. These displacements consist of the combination of large rigid-body mechanism motion and small elastic deformations. Beam elements are used in the model formulation. The resulting nonlinear equations can be solved under conditions of either specified input motion of the mechanism or specified input forcing functions. In either case, the differential equations are integrated numerically. Illustrative examples are presented, and comparisons are made with results of previous investigators and with results from a commercial finite element code.

Copyright © 1990 by The American Society of Mechanical Engineers
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