Earthquake Response of Structures by Structural Mixture Theory

A structural mixture theory is developed for use in predicting the response of a structural frame to earthquake ground motion. The frame is considered to be a mixture of columns and beams and is modeled as two interacting subsystems. The dynamic response of each subsystem is described by its own lin...

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Bibliographic Details
Published in:Journal of structural engineering (New York, N.Y.) N.Y.), 1996-10, Vol.122 (10), p.1198-1207
Main Authors: Al-Ansari, Mohammed S, Kirkely, O. M, Gillette, Gregory
Format: Article
Language:English
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TECHNICAL PAPERS
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Summary:A structural mixture theory is developed for use in predicting the response of a structural frame to earthquake ground motion. The frame is considered to be a mixture of columns and beams and is modeled as two interacting subsystems. The dynamic response of each subsystem is described by its own linear differential operator. The two responses are then subjected to matching conditions (i.e., boundary conditions) which couple them at the subsystem interface. The conditions include damping ratios, moment-of-inertia ratios, frequency ratios, and the effects of relative node support motion. The solution of the coupled equations is carried out by means of a pair of coupled perturbation series. Example results from the numerical implementation of the theory are given, and compared with the result of the corresponding calculation using the Wilson- method and observed earthquake response. The structural mixture theory is valid for multiple-degree-of-freedom structures under the type of ground motions used in this study, and it appears to be applicable to systems with linear or nonlinear behavior.
ISSN:0733-9445
1943-541X
DOI:10.1061/(ASCE)0733-9445(1996)122:10(1198)