Open AccessStudy of the Response Prediction of a Parametric Vibration Based on Modulation Feedback
Author(s) -
Dishan Huang
Publication year - 2010
Publication title -
advances in acoustics and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.237
H-Index - 14
eISSN - 1687-627X
pISSN - 1687-6261
DOI - 10.1155/2010/284187
Subject(s) - parametric statistics , vibration , fourier series , control theory (sociology) , harmonic , harmonic balance , modulation (music) , series (stratigraphy) , set (abstract data type) , fourier transform , signal (programming language) , computer science , mathematics , nonlinear system , mathematical analysis , acoustics , physics , paleontology , statistics , control (management) , quantum mechanics , artificial intelligence , biology , programming language
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
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