Abstract
A simply supported elasto-plastic beam is subject to unforced damped vibration. It is modeled as a single degree of freedom oscillator with bilinear hysteresis and kinematic hardening. An iterative process is used to simulate the system’s behavior and generate maps of maximum yield in either direction, for a variety of kinematic hardening coefficients and various degrees of damping. The maps are compared to show the effect of changing either of these parameters. Interesting regions of these maps and their meaning in reference to the model are discussed.
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© 1999 Springer Science+Business Media Dordrecht
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Pratap, R., Judge, J. (1999). Maps, Traps, and Equilibria for a Fully Dissipative Elastoplastic Oscillator. In: Moon, F.C. (eds) IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics. Solid Mechanics and its Applications, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5320-1_23
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DOI: https://doi.org/10.1007/978-94-011-5320-1_23
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6235-0
Online ISBN: 978-94-011-5320-1
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