Parametric Instability of a Beam Due to Axial Excitations and to Boundary Conditions

[+] Author and Article Information
R. Dufour, A. Berlioz

Laboratoire de Mécanique des Structures, ESA CNRS UPR5006, INSA de Lyon, Bât, 113, 20, avenue Albert Einstein, 69621 Villeurbanne, France

J. Vib. Acoust 120(2), 461-467 (Apr 01, 1998) (7 pages) doi:10.1115/1.2893852 History: Received March 01, 1995; Revised May 01, 1996; Online February 26, 2008


In this paper the stability of the lateral dynamic behavior of a pinned-pinned, clamped-pinned and clamped-clamped beam under axial periodic force or torque is studied. The time-varying parameter equations are derived using the Rayleigh-Ritz method. The stability analysis of the solution is based on Floquet’s theory and investigated in detail. The Rayleigh-Ritz results are compared to those of a finite element modal reduction. It is shown that the lateral instabilities of the beam depend on the forcing frequency, the type of excitation and the boundary conditions. Several experimental tests enable the validation of the numerical results.

Copyright © 1998 by The American Society of Mechanical Engineers
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