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.
Determining Stability Boundaries Using Gyroscopic Eigenfunctions
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Aug. 2002; Revised Jan. 2003. Associate Editor: L. A. Bergman.
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Renshaw , A. A. (June 18, 2003). "Determining Stability Boundaries Using Gyroscopic Eigenfunctions ." ASME. J. Vib. Acoust. July 2003; 125(3): 405–407. https://doi.org/10.1115/1.1569944
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