Approximate and numerical analysis of nonlinear forced vibration of axially moving viscoelastic beams |
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| Authors: | Hu Ding Li-Qun Chen |
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| Affiliation: | Hu Ding · Li-Qun Chen Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,200072 Shanghai,China Department of Mechanics,200436 Shanghai,China |
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| Abstract: | Steady-state periodical response is investigated for an axially moving viscoelastic beam with hybrid supports via approximate analysis with numerical confirmation. It is assumed that the excitation is spatially uniform and temporally harmonic. The transverse motion of axially moving beams is governed by a nonlinear partial-differential equation and a nonlinear integro-partial-differential equation. The material time derivative is used in the viscoelastic constitutive relation. The method of multiple scales ... |
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| Keywords: | Axially moving beam · Nonlinearity · Material time derivative · Method of multiple scales · Differential quadrature method |
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