A new exact approach for the analysis of torsional vibration of a non-uniform shaft carrying an arbitrary number of rigid disks is presented. The exact solutions for non-uniform shafts with arbitrary distribution of torsional stiffness or mass polar moment of inertia are obtained for several important cases. The fundamental solutions developed in this paper lead to a single frequency equation for a non-uniform shaft with classical or non-classical boundary conditions and carrying an arbitrary number of rigid disks.
Torsional Vibration of Non-Uniform Shafts Carrying an Arbitrary Number of Rigid Disks
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Jan. 2002; Revised June 2002. Associate Editor: J. A. Wickert.
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Qiao , H., Li , Q. S., and Li , G. Q. (September 20, 2002). "Torsional Vibration of Non-Uniform Shafts Carrying an Arbitrary Number of Rigid Disks ." ASME. J. Vib. Acoust. October 2002; 124(4): 656–659. https://doi.org/10.1115/1.1503376
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