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RESEARCH PAPERS: Vibration and Sound

Damping Matrix Identification Using the Spectral Basis Technique

[+] Author and Article Information
J. Fabunmi

AEDAR Corporation, 8302 Stanwood St., New Carrollton, MD

P. Chang

Department of Civil Engineering, University of Maryland, College Park, MD

J. Vorwald

David Taylor Naval R&D Center 169, Bethesda, MD

J. Vib., Acoust., Stress, and Reliab 110(3), 332-337 (Jul 01, 1988) (6 pages) doi:10.1115/1.3269521 History: Received September 15, 1987; Online November 23, 2009

Abstract

This paper presents a method for estimating the damping matrix of a structural system when the stiffness matrix, mass matrix, and frequency response data are given. The method is based on the fact that the forced responses of a structure can be decomposed into linear combinations of sets of frequency-dependent function. A set of orthonormal basis vectors of the frequency response is first determined. The forced responses are then expressed as linear combinations of these basis vectors. The coefficients of the damping matrix are then solved using the pseudo inverse of these basis vectors. Because the vectors that span the space of the frequency response are required to be linearly independent, an orthogonalization process is used to identify the number of significant basis vectors. Several examples are presented to illustrate the use and advantages of the proposed method.

Copyright © 1988 by ASME
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