A general transfer matrix method (GTMM) is developed in the present work for analyzing the steady-state responses of rotor-bearing systems with an unbalancing shaft. Specifically, we derived the transfer matrix of shaft segments by considering the state variables of shaft in a continuous system sense to give the most general formulation. The shaft unbalance, axial force, and axial torque are all taken into consideration so that the completeness of transfer matrix method for steady-state analysis of linear rotor-bearing systems is reached. To demonstrate the effectiveness of this approach, a numerical example is presented to estimate the effect of three-dimensional distribution of shaft unbalance on the steady-state responses by GTMM and finite element method (FEM).
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October 1993
Research Papers
The Analysis of Linear Rotor-Bearing Systems: A General Transfer Matrix Method
An-Chen Lee,
An-Chen Lee
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
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Yuan-Pin Shih,
Yuan-Pin Shih
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
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Yuan Kang
Yuan Kang
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
Search for other works by this author on:
An-Chen Lee
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
Yuan-Pin Shih
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
Yuan Kang
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
J. Vib. Acoust. Oct 1993, 115(4): 490-497 (8 pages)
Published Online: October 1, 1993
Article history
Received:
May 1, 1992
Online:
June 17, 2008
Citation
Lee, A., Shih, Y., and Kang, Y. (October 1, 1993). "The Analysis of Linear Rotor-Bearing Systems: A General Transfer Matrix Method." ASME. J. Vib. Acoust. October 1993; 115(4): 490–497. https://doi.org/10.1115/1.2930377
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