Computational Techniques for Nonlinear Dynamics of Continuous Systems
Publication: Journal of Engineering Mechanics
Volume 121, Issue 11
Abstract
A method to integrate the nonlinear partial-differential equations of motion of a cantilever beam capable of coupled flexural-torsional vibrations is presented. The technique uses spatial finite-difference approximations to reduce the equations to a set of ordinary-differential equations (ODEs) in time, and then integrates these equations in time using a fourth-order Runge-Kutta algorithm. Tools for the qualitative analysis of nonlinear dynamical systems, such as Poincaré sections, fixed points, domains of attraction, and frequency response curves are discussed for high-order discretized systems.
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Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 11 • November 1995
Pages: 1193 - 1199
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Nov 1, 1995
Published in print: Nov 1995
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