Analytic Study of Linear and Nonlinear Mode Localization

[+] Author and Article Information
A. F. Vakakis

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Appl. Mech 60(2), 555-557 (Jun 01, 1993) (3 pages) doi:10.1115/1.2900829 History: Received November 10, 1990; Revised May 17, 1992; Online March 31, 2008


The localization of the normal modes of weakly coupled vibrating systems is examined with a new exact, analytical method. Both linear and nonlinear systems are considered and the mode localization is examined by means of “balancing diagrams.” This study complements previous studies of the author and co-workers on investigating mode localization in systems with nonlinear stiffness elements.

Copyright © 1993 by The American Society of Mechanical Engineers
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