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• W2049875085 abstract "Different from many other studies in the literature, where the parametric stability of viscoelastic columns subjected to harmonically varying axial loads has been investigated, this paper is concerned with the dynamic stability of lateral vibrations of a simply supported, viscoelastic beam, which is compressed by a constant axial end force and subjected to a periodic displacement excitation. By applying Galerkin's method, the governing partial differential equation of fifth order is reduced to a system of ordinary differential equations of third order, which constitutes a Hill system of equations. For a special type of displacement excitation, the stability of the solutions of this system is investigated by the method of Stevens. Then the regions of instability are obtained for various values of the degree of viscoelasticity and compression forces. Thus the effects of these parameters on the dynamic stability of the viscoelastic beam are studied and the results obtained are summarized." @default.
• W2049875085 created "2016-06-24" @default.
• W2049875085 creator A5089518372 @default.
• W2049875085 date "1987-06-01" @default.
• W2049875085 modified "2023-09-30" @default.
• W2049875085 title "Parametric vibrations of a viscoelastic beam (Maxwell model) under steady axial load and transverse displacement excitation at one end" @default.
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• W2049875085 doi "https://doi.org/10.1016/0022-460x(87)90476-7" @default.
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