Nonlinear free transverse vibrations of axially moving Timoshenko beams with two free ends |
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| Authors: | LI Biao TANG YouQi & CHEN LiQun |
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| Affiliation: | LI Biao 1,TANG YouQi 1 & CHEN LiQun 1,2 1 Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 200072,China,2 Department of Mechanics,Shanghai University,Shanghai 200436 |
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| Abstract: | In this paper, nonlinear transverse vibrations of axially moving Timoshenko beams with two free ends are investigated. The governing equations and the associated boundary conditions are derived by the extended Hamilton principle. The method of multiple scales is applied to analyze the nonlinear partial differential equation. The natural frequencies and modes are investigated by performing the complex mode approach. The effect of natural frequencies with the stiffness and the axial speeds are numerically dem... |
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| Keywords: | nonlinear transverse vibration Timoshenko beam complex mode approach method of multiple scales internal resonances |
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