Eigenproperties of Nonclassically Damped Primary Structure and Oscillator Systems

[+] Author and Article Information
L. E. Suarez, M. P. Singh

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Appl. Mech 54(3), 668-673 (Sep 01, 1987) (6 pages) doi:10.1115/1.3173086 History: Received September 12, 1986; Online July 21, 2009


The calculation of the combined eigenproperties of a nonclassically damped structure and a supported equipment is of practical interest. Herein an approach is developed whereby these properties can be obtained, in terms of the eigenproperties of the structure and equipment, without a conventional eigenvalue analysis of the combined system. The eigenvalues are obtained as the solutions of a nonlinear characteristic equation, easily solvable by a simple Newton-Raphson scheme. Once the eigenvalues are known, the corresponding eigenvectors can be obtained from closed-form expressions. The approach can also be used effectively to obtain exact eigenproperties for very light as well as very heavy equipment supported on structures.

Copyright © 1987 by ASME
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