The Dynamics of a Deformable Body Experiencing Large Displacements

[+] Author and Article Information
W. P. Koppens, A. A. H. J. Sauren, F. E. Veldpaus, D. H. van Campen

Department of Mechanical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands

J. Appl. Mech 55(3), 676-680 (Sep 01, 1988) (5 pages) doi:10.1115/1.3125848 History: Received September 22, 1987; Online July 21, 2009


A general description of the dynamics of a deformable body experiencing large displacements is presented. These displacements are resolved into displacements due to deformation and displacements due to rigid body motion. The former are approximated with a linear combination of assumed displacement fields. D’Alembert’s principle is used to derive the equations of motion. For this purpose, the rigid body displacements and the displacements due to deformation have to be independent. Commonly employed conditions for achieving this are reviewed. It is shown that some conditions lead to considerably simpler equations of motion and a sparser mass matrix, resulting in CPU time savings when used in a multibody program. This is illustrated with a uniform beam and a crank-slider mechanism.

Copyright © 1988 by ASME
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