Dynamics of Flexible Beams and Plates in Large Overall Motions

[+] Author and Article Information
Z. E. Boutaghou

Prototype and File Technology, IBM Corporation, Rochester, MN 55901

Arthur G. Erdman

Mechanical Engineering Department, University of Minnesota, Minneapolis, MN 55455

Henryk K. Stolarski

Civil and Mineral Engineering Department, University Minnesota, Minneapolis, MN 55455

J. Appl. Mech 59(4), 991-999 (Dec 01, 1992) (9 pages) doi:10.1115/1.2894071 History: Received April 19, 1991; Revised October 17, 1991; Online March 31, 2008


The dynamic response of flexible beams, plates, and solids undergoing arbitrary spatial motions are systematically derived via a proposed approach. This formulation is capable of incorporating arbitrary representation of the kinematics of deformation, phenomenon of dynamic stiffening, and complete nonlinear interaction between elastic and rigid-body dynamics encountered in constrained multibody systems. It is shown that the present theory captures the phenomenon of dynamic stiffening due to the transfer of the axial and membrane forces to the bending equations of beams and plates, respectively. Examples are presented to illustrate the proposed formulations.

Copyright © 1992 by The American Society of Mechanical Engineers
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