Analysis of Linear Nonconservative Vibrations

[+] Author and Article Information
F. Ma

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

T. K. Caughey

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125

J. Appl. Mech 62(3), 685-691 (Sep 01, 1995) (7 pages) doi:10.1115/1.2896001 History: Received August 23, 1993; Revised July 18, 1994; Online October 30, 2007


The coefficients of a linear nonconservative system are arbitrary matrices lacking the usual properties of symmetry and definiteness. Classical modal analysis is extended in this paper so as to apply to systems with nonsymmetric coefficients. The extension utilizes equivalence transformations and does not require conversion of the equations of motion to first-order forms. Compared with the state-space approach, the generalized modal analysis can offer substantial reduction in computational effort and ample physical insight.

Copyright © 1995 by The American Society of Mechanical Engineers
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