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Spectral element
model for the vibration of a spinning Timoshenko shaft
Usik Lee and Injoon Jang |
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Vol. 7 (2012), No. 2, 145–164
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Abstract |
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A spectral element model for a spinning uniform shaft is developed. The spinning shaft supported by bearings is represented by the uniform Timoshenko beam model and the bearing-supports are represented by equivalent springs. The variational approach is used to formulate the spectral element model by using the frequency-dependent shape functions derived from exact wave solutions on the frequency-domain governing differential equations. The conventional finite element model is also formulated for evaluating the accuracy of the present spectral element model through some example problems. |
Keywords
spinning Timoshenko shaft, spectral element model, finite
element model, natural frequency, critical speed,
dispersion curve
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Milestones
Received: 18 April 2011
Revised: 23 June 2011
Accepted: 23 June 2011
Published: 6 May 2012
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Authors |
| Usik Lee | |
| Department of Mechanical
Engineering Inha University 253 Yonghyun-Dong Nam-Gu, Incheon 402-751 South Korea |
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| Injoon Jang | |
| Department of Mechanical
Engineering Inha University 253 Yonghyun-Dong Nam-Gu, Incheon 402-751 South Korea |
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