Simplified Non-linear Time-history Analysis
Based On The Theory Of Plasticity
Author(s)
J. L. Domingues Costa, R. Bento, V. Levtchitch
& M. P. Nielsen
Abstract
This paper aims at giving a contribution to the problem of developing simplified
non-linear time-history (NLTH) analysis of structures for which dynamical
response is mainly governed by plastic deformations so as to be able to provide
designers with sufficiently accurate results. The method to be presented is based
on the Theory of Plasticity. Firstly, the formulation and the computational
procedure to perform time-history analysis of a rigid-plastic single degree of
freedom (SDOF) system are presented. The necessary conditions for the method
to incorporate pinching as well as strength degradation are outlined. The
procedure is applied to a typical SDOF system and results are compared with
NLTH analysis commonly used for design purposes. Secondly, by means of the
Virtual Work Principle, the definition of the equation of motion of a desired
collapse mechanism of a multi degree of freedom (MDOF) system is presented.
This equation is of the same type as in the SDOF case, and therefore the
procedure presented in the first part of the paper may be used. The method is
applied to a 4-story reinforced concrete frame structure. Results are compared to
those derived by a conventional NLTH analysis and found to be encouraging.
Keywords: non-linear time-history analysis, theory of plasticity, rigid-plastic
material, collapse mechanism, virtual work principle.
1 Introduction
It is well known that the most powerful and rational technique to assess the
dynamical response of a structure subjected to an earthquake is a NLTH analysis.
Keywords
non-linear time-history analysis, theory of plasticity, rigid-plastic
material, collapse mechanism, virtual work principle.
Related Book
Other papers in this volume
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