Stability Properties of a Viscoelastic Column Under a Periodic Force

[+] Author and Article Information
G. Cederbaum, M. Mond

The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel

J. Appl. Mech 59(1), 16-19 (Mar 01, 1992) (4 pages) doi:10.1115/1.2899424 History: Received March 12, 1990; Revised November 29, 1990; Online March 31, 2008


The dynamic stability of a viscoelastic column subjected to a periodic longitudinal load is investigated. The viscoelastic behavior is given in terms of the Boltzmann superposition principle which yields an integro-differential equation of motion. The stability boundaries of this equation are determined analytically by using the multiplescales method. It is shown that due to the viscoelasticity the stability regions are expanded, relative to the elastic ones, and the time for which a stable system becomes unstable is given. In addition, the stability properties of the viscoelastic column are time dependent and an initially stable system can turn unstable after a finite time, unlike columns that are described by the elastic model.

Copyright © 1992 by The American Society of Mechanical Engineers
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