Nonlinear dynamics of a harmonically-excited inelastic inverted pendulum

Eric B. Williamson, Keith Hjelmstad

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 counter-intuitive 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.

Original languageEnglish (US)
Pages (from-to)52-57
Number of pages6
JournalJournal of Engineering Mechanics
Volume127
Issue number1
DOIs
StatePublished - Jan 2001
Externally publishedYes

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Pendulums
Axial loads
Model structures
Constitutive models
Equations of motion
Dynamical systems
Differential equations
Stiffness
Plastics
Degradation

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Nonlinear dynamics of a harmonically-excited inelastic inverted pendulum. / Williamson, Eric B.; Hjelmstad, Keith.

In: Journal of Engineering Mechanics, Vol. 127, No. 1, 01.2001, p. 52-57.

Research output: Contribution to journalArticle

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