NEHRP Clearinghouse

Modeling and Analysis of Hysteretic Structural Behavior.
Thyagarajan, R. S.
National Science Foundation, Washington, DC., January 1989, 198 p.
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A number of models have been proposed for response studies of hysteretic structures, some of which are examined in detail in the thesis. There are two popular classes of models used in the analysis of curvilinear hysteretic systems. The first is of the distributed element or assemblage type, which models the physical behavior of the system by using well-known building blocks. The second class of models is of the differential equation type, which is based on the introduction of an extra variable to describe the history dependence of the system. Owing to their mathematical simplicity, the latter models have been used extensively for various applications in structural dynamics, most notably in the estimation of the response statistics of hysteretic systems subjected to stochastic excitation. But the fundamental characteristics of these models are still not clearly understood. A response analysis of systems using both the Distributed Element model and the differential equation model when subjected to a variety of quasi-static and dynamic loading conditions leads to the following conclusion: Caution must be exercised when employing the models belonging to the second class in structural response studies as they can produce misleading results.
; Earthquake damage; Dynamic response; Theses; Loads (Forces); Structural vibration; Stochastic processes; Displacement; Mathematical models; Cyclic loads; Nonlinear systems; Dynamic structural analysis