Determining Stability Boundaries Using Gyroscopic Eigenfunctions-Reference-Cited by-同舟云学术

Determining Stability Boundaries Using Gyroscopic Eigenfunctions

Published:2003-06-18 Issue:3 Volume:125 Page:405-407
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Renshaw Anthony A.¹

Affiliation:

1. Dept. of Mechanical Engng. Columbia University, New York, NY 10027

Abstract

By taking advantage of modal decoupling and reduction of order, we derive a simplified procedure for applying the method of multiple scales to determine the stability boundaries of parametrically excited, gyroscopic systems. The analytic advantages of the procedure are illustrated with three examples.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/125/3/405/5828529/398_1.pdf

Reference16 articles.

1. Meirovitch, L. , 1975, “A Modal Analysis for the Response of Linear Gyroscopic Systems,” ASME J. Appl. Mech., 42(2), pp. 446–450.

2. Wickert, J. A., and Mote, C. D., Jr., 1990, “Classical Vibration Analysis of Axially Moving Continua,” ASME J. Appl. Mech., 57, pp. 738–744.

3. Renshaw, A. A. , 1997, “Modal Decoupling of Systems Described by Three Linear Operators,” ASME J. Appl. Mech., 64, pp. 238–240.

4. Hryniv, R. O., Lancaster, P., and Renshaw, A. A., 1999, “A Stability Criterion for Parameter Dependent Gyroscopic Systems,” ASME J. Appl. Mech., 66, pp. 660, 664660, 664.

5. Jha, R. K., and Parker, R. G., 2000, “Spatial Discretization of Axially Moving Media Vibration Problems,” ASME J. Vibr. Acoust., 122, pp. 290–294.

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