Vol. 7, No. 2, 2012

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ISSN: 1559-3959
Spectral element model for the vibration of a spinning Timoshenko shaft

Usik Lee and Injoon Jang

Vol. 7 (2012), No. 2, 145–164
Abstract

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
Milestones
Received: 18 April 2011
Revised: 23 June 2011
Accepted: 23 June 2011
Published: 6 May 2012
Authors
Usik Lee
Department of Mechanical Engineering
Inha University
253 Yonghyun-Dong
Nam-Gu, Incheon 402-751
South Korea
Injoon Jang
Department of Mechanical Engineering
Inha University
253 Yonghyun-Dong
Nam-Gu, Incheon 402-751
South Korea