Nonlinear Dynamics of a Harmonically-Excited Inelastic Inverted Pendulum
Publication: Journal of Engineering Mechanics
Volume 127, Issue 1
Abstract
Issues of dynamic stability for a single-degree-of-freedom system subjected to a time-varying axial load are presented. The linearized differential equation of motion for the model structure is given by the well-known Mathieu equation. Parametric resonance leading to dynamic instability is known to occur for such a system. This paper examines the response of the geometrically exact model for two inelastic constitutive models—an elastic-perfectly plastic model and a cyclic Ramberg-Osgood model. Damage evolution, represented by degradation of the elastic stiffness, is also considered. Analysis results demonstrate behavior that is counterintuitive to what would be expected under static or monotonic loading conditions. Though simple, this structural model helps illustrate the complex features in the response of an inelastic dynamical system.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 127 • Issue 1 • January 2001
Pages: 52 - 57
History
Received: Aug 16, 1999
Published online: Jan 1, 2001
Published in print: Jan 2001
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