Application of Multiple Scale Analysis on the Parametric Resonance of Continuous Gyroscopic Systems

[+] Author and Article Information
Jen-San Chen, Yu-Ran Lin

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 107

J. Vib. Acoust 120(1), 303-305 (Jan 01, 1998) (3 pages) doi:10.1115/1.2893822 History: Received July 01, 1995; Revised December 01, 1995; Online February 26, 2008


Nayfeh and Mook (1977) presented a multiple scale analysis on the parametric resonance of a non-gyroscopic system with multiple degrees of freedom. This Note extends their method to the case of continuous gyroscopic systems Orthogonality properties among the eigenfunctions of the unloaded system in the complex state space are used to discretize the equation of motion into a set of first order differential equations. Multiple scale method is then employed to study the parametric resonance of the loaded system up to the second order perturbation. A spinning Rayleigh beam under pulsating axial load is studied as an example.

Copyright © 1998 by The American Society of Mechanical Engineers
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