On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II

[+] Author and Article Information
J. C. Simo

Applied Mechanics Division, Stanford University, Stanford, CA 94305

L. Vu-Quoc

Structural Engineering and Structural Mechanics Division, University of California, Berkeley, CA 94720

J. Appl. Mech 53(4), 855-863 (Dec 01, 1986) (9 pages) doi:10.1115/1.3171871 History: Received September 23, 1985; Revised May 07, 1986; Online July 21, 2009


The numerical treatment of the methodology proposed in Part I of this paper is considered in detail. Unlike traditional approaches, a Galerkin spatial discretization of the equations of motion, now referred to the inertial frame, yields the standard form of nonlinear structural dynamics: Mq̈ + Dq̇ + P(q) = F , with M and D constant matrices. Numerical examples that involve finite vibrations coupled with large overall motions are presented. These simulations also demonstrate the capability of the present formulation in handling multibody dynamics.

Copyright © 1986 by ASME
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