Free Vibration Analysis of Shafts on Resilient Bearings Using Timoshenko Beam Theory-Reference-Cited by-同舟云学术

Free Vibration Analysis of Shafts on Resilient Bearings Using Timoshenko Beam Theory

Published:1999-04-01 Issue:2 Volume:121 Page:256-258
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Karunendiran S.¹,Zu J. W.¹

Affiliation:

1. Department of Mechanical & Industrial Engineering, University of Toronto, Toronto, Ontario, Canada M5S 3G8

Abstract

This paper presents an analytical method adopted for the free vibration analysis of a shaft, both ends of which are supported by resilient bearings. The shaft is modeled by Timoshenko beam theory. Based on this model exact frequency equation to calculate complex eigenvalues is derived and presented in complex compact form for the first time. Explicit expressions to compute the corresponding mode shapes are also presented.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/121/2/256/5825763/256_1.pdf

Reference5 articles.

1. Dimentberg, F. M., 1961, Flexural Vibrations of Rotating Shafts, Butterworths, London.

2. Lee C. W. , KatzR., UlsoyA. G., and ScottR. A., 1988, “Modal Analysis of a Distributed Parameter Rotating Shaft,” J. Sound and Vibration, Vol. 122, No. 1, pp. 119–130.

3. Lee C. W. , and JeiY. G., 1988, “Modal Analysis of Continuous Rotor-Bearing Systems,” Journal of Sound and Vibration, Vol. 126, No. 2, pp. 345–361.

4. Lund T. W. , 1974, “Stability and Damped Critical Speeds of a flexible Rotor in Fluid-Film Bearings,” ASME Journal of Engineering for Industry, Series B, Vol. 96, pp. 509–517.

5. Zu J. W. , and HanP. S., 1992, “Natural Frequencies and Normal Modes of a Spinning Timoshenko Beam with General Boundary Conditions,” ASME Journal of Applied Mechanics, Vol. 59, pp. 197–204.

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