Abstract
The fast Fourier transform (FFT) algorithm is commonly used to derive the power density spectrum of scattered point data in the frequency domain. The standard fast Fourier transform is used to investigate the natural frequencies of nonlinear free transverse oscillations of axially moving beams. The transverse motion of an axially moving beam can be governed by a nonlinear partial-differential equation or a nonlinear integro-partial-differential equation. Numerical schemes are respectively presented for the two governing equations via the differential quadrature method under the fixed boundary condition. For each nonlinear equation, the natural frequencies of axially moving beams are investigated via the fast Fourier transform with the time responses of the transverse vibration. The numerical results illustrate the tendencies of the natural frequencies of nonlinear free transverse vibration of axially moving beams with the changing vibration amplitude, axially moving speed, the nonlinear coefficient and the flexural stiffness.
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Yuju, Y., Jiguang, Z., Yingchang, X., Liyuan, M., Hu, D. (2011). Nonlinear Frequencies for Transverse Oscillations of Axially Moving Beams: Comparison of Two Models. In: Zhou, Q. (eds) Theoretical and Mathematical Foundations of Computer Science. ICTMF 2011. Communications in Computer and Information Science, vol 164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24999-0_73
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DOI: https://doi.org/10.1007/978-3-642-24999-0_73
Publisher Name: Springer, Berlin, Heidelberg
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