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Advances in Acoustics and Vibration
Volume 2010, Article ID 284187, 9 pages
http://dx.doi.org/10.1155/2010/284187
Research Article

Study of the Response Prediction of a Parametric Vibration Based on Modulation Feedback

Department of Mechanical Engineering and Automation, Shanghai University, 149 Yanchang Road, Shanghai 200072, China

Received 29 September 2010; Accepted 31 December 2010

Academic Editor: Jorge Arenas

Copyright © 2010 Dishan Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The problem of response prediction is investigated for parametric vibration in terms of a new concept. The response solution is presented in the special form of Fourier series for signal degree freedom of parametric vibration based on modulation feedback. By applying harmonic balance and limitation operation, all coefficients of a harmonic component are fully determined with a set of series. Meanwhile, some important dynamic behaviors are exposed through mathematical deduction, and an instability phenomenon can be discussed through given frequency factors. The investigation result shows that the new approach has an advantage in the complete response expression, and it is very significant for the theoretical research and engineering application concerning parametric vibration.