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Modeling and analysis of hysteretic structural behavior


Thyagarajan, Ravi Shanker (1990) Modeling and analysis of hysteretic structural behavior. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/r3as-fj34.


For damaging response, the force-displacement relationship of a structure is highly nonlinear and history-dependent. For satisfactory analysis of such behavior, it is important to be able to characterize and to model the phenomenon of hysteresis accurately. A number of models have been proposed for response studies of hysteretic structures, some of which are examined in detail in this 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.

The Massing's hypothesis, originally proposed for steady-state loading, can be extended to general transient loading as well, leading to considerable simplification in the analysis of the Distributed Element models. A simple, nonparametric identification technique is also outlined, by means of which an optimal model representation involving one additional state variable is determined for hysteretic systems.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Structural dynamics; Hysteresis
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mechanics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Iwan, Wilfred D.
Thesis Committee:
  • Iwan, Wilfred D. (chair)
Defense Date:2 October 1989
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Funding AgencyGrant Number
Record Number:CaltechThesis:03132014-144907764
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URLURL TypeDescription DocumentTechnical Report EERL 89-03 in CaltechAUTHORS
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8131
Deposited By: Kathy Johnson
Deposited On:13 Mar 2014 21:54
Last Modified:16 Apr 2021 23:20

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