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| Frequency Domain Analysis of Supercritical Nonlinear Vibration of Axially Moving Beams |
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Abstract In the present paper, the first two supercritical natural frequencies of nonlinear transverse free vibration of axially moving beams are numerically investigated. In the supercritical transport speed regime, the nonlinear integro-partial-differential equation is cast in the standard form of continuous gyroscopic systems via introducing a coordinate transform for the non-trivial equilibrium configuration. Numerical schemes are presented for the governing equations via the finite difference method under the simple support boundary condition. Time series of the discrete Fourier transform is defined as numerically solutions of three nonlinear governing equations for the first two natural frequencies of nonlinear transverse vibration. The numerical results illustrate the tendencies of the first two natural frequencies with the changing system parameters.
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Received: 02 March 2010
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2011, Vol. 32 
