On the nonlinear transverse vibrations and stability of an axially accelerating beam

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Date

2000

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Assoc Sci Res

Abstract

Nonlinear vibrations and stability analysis of an axially moving Euler-Bernoulli type beam are investigated. The beam is on fixed supports and moving with a harmonically varying velocity about a constant mean value. The method of multiple scales is used in the analysis. Nonlinear frequencies depending on vibration amplitudes are obtained. Stability and bifurcations of steady-state solutions are analyzed for frequencies close to two times any natural frequency. It is shown that the amplitudes are bounded in time for frequencies close to zero. The effect of fixed supports is discussed.

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Keywords

Beams and girders , Bifurcation (mathematics) , Boundary conditions , Eigenvalues and eigenfunctions , Equations of motion , Frequency domain analysis , Vibrations (mechanical) , Axially accelerating beam , Multiple scale method , Approximation theory

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20534

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