Free transverse vibration of an axially loaded non-uniform spinning twisted Timoshenko beam using differential transform |
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| Authors: | Shing Huei Ho Cha&#x;o Kuang Chen |
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| Affiliation: | aDepartment of Mechanical Engineering, Kun Shan University, Tainan, Taiwan, ROC;bDepartment of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan, ROC |
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| Abstract: | This study investigates the vibration problems of an axially loaded non-uniform spinning twisted Timoshenko beam. First, using the Timoshenko beam theory and Hamilton's principle, we derive the governing equations and boundary conditions of the beam. Secondly, the differential transform method is used to solve these equations with appropriate boundary conditions. Finally, the effects of the twist angle, spinning speed, and axial force on the natural frequencies of a non-uniform Timoshenko beam are investigated and discussed. |
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| Keywords: | Differential transform Twisted Timoshenko beam Coriolis force Spinning speed |
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