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RESEARCH PAPERS

Frequency Window Method for Strongly Coupled and Multiply Connected Structural Systems: One-Mode Windows

[+] Author and Article Information
Kyung-Won Min, Takeru Igusa, Jan D. Achenbach

Robert R. McCormick School of Engineering and Applied Science, Department of Civil Engineering, Northwestern University, Evanston, IL 60208

J. Appl. Mech 59(2S), S236-S243 (Jun 01, 1992) doi:10.1115/1.2899495 History: Received June 19, 1990; Revised February 26, 1991; Online March 31, 2008

Abstract

A method is presented to analyze the dynamic behavior of a structural system consisting of a main structure and strongly coupled, multiply connected substructures. Lagrange’s equations are used to develop a characteristic equation for connected substructures in terms of substructure impedances and mobilities. Then, a frequency window method is used to reduce the complexity of the problem by a decomposition of the impedance and mobility functions into dominant and highorder rational expressions. From the reduced problem, simple expressions for the modal properties are developed using matrix algebraic methods, which provide insight into the resonance characteristics of the connected substructures. Higherorder terms, which become significant for strongly coupled substructures, are included in the eigenvalue analysis by using an iterative procedure. It is shown that the frequency window method developed in this paper, used as a numerical scheme, produces results which converge to exact results after only a few iterations.

Copyright © 1992 by The American Society of Mechanical Engineers
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