Markovian Hysteretic Characteristics of Structures
Publication: Journal of Engineering Mechanics
Volume 116, Issue 8
Abstract
Structures usually exhibit nonlinear hysteretic behavior under dynamic loading, and this behavior may in general have aftereffects or memory. In this paper we study the properties and the constitutive law of a hysteretic structure with memory. When the memory is null or finite, the hysteretic characteristics are Markovian. Otherwise, they are non‐Markovian. Based on the distributed element model, we deduce the constitutive law for a general hysteretic structure, which unifies the current hysteretic models conceptually. In particular, for the Markovian hysteretic structure the constitutive law is described by the ordinary multidimensional nonlinear state equation in which additional state variables may be involved to express the memory. This constitutive law, in terms of the nonlinear state equation, is demonstrated through several Markovian hysteretic models, including the soft‐hardening hysteretic model, the maximum displacement‐dependent model, and the energy‐dependent model.
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Published In
Journal of Engineering Mechanics
Volume 116 • Issue 8 • August 1990
Pages: 1798 - 1811
Copyright
Copyright © 1990 ASCE.
History
Published online: Aug 1, 1990
Published in print: Aug 1990
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