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 language | English (US) |
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Pages (from-to) | 52-57 |
Number of pages | 6 |
Journal | Journal of Engineering Mechanics |
Volume | 127 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2001 |
Externally published | Yes |
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering