On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems, Part 2

[+] Author and Article Information
A. V. Pesterev, L. A. Bergman

Dept. of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Vib. Acoust 118(3), 414-416 (Jul 01, 1996) (3 pages) doi:10.1115/1.2888198 History: Received September 01, 1994; Revised January 01, 1995; Online February 26, 2008


The problem of free vibration of a complex system with a natural frequency identical to that of one of its subsystems is further discussed. Such eigenvibrations need special consideration in many modal synthesis methods, as the Green’s operator of the resonating subsystem does not exist at subsystem natural frequencies. A general treatment of this problem has been given by the authors in a companion paper. In this supplement, the previous work is extended to include the case of interaction forces applied to the resonating subsystem at points where the corresponding eigenfunction of the subsystem has maxima. Examples of such eigenvibrations are presented for two simple systems. The differences between these examples and those of the previous paper are noted and discussed.

Copyright © 1996 by The American Society of Mechanical Engineers
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