Offering a Method to Obtain Dominant Modes of an Unknown Nonlinear System Based on Wigner Ville Output Analysis

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Year:
2015
Type of Publication:
Article
Keywords:
Vibration Analysis, Wigner Ville, Dominant Modes, Chirp, Frequency Response Function
Authors:
Mobina Bonakdar; Ehsan Jamshidi
Journal:
IJAIM
Volume:
3
Number:
4
Pages:
205-211
ISSN:
2320-5121
Abstract:
In vibrations analysis in mechanics or output analysis of every unknown system, special vector output analysis is normally used in time field or calculated frequency response function from Fourier or Laplace transform. In such cases, the dominant modes of the system should first be determined and then a suitable analysis of the output should be performed based on those modes. Where the system operation is nonlinear, obtaining frequency response function with Fourier or Laplace transforms would not be possible due to their linear nature. In this article, a very efficient method of determining the dominant modes and nonlinear output frequency has been offered, based on Wigner Ville transform. In this method, first, all system modes are stimulated, applying chirp signal with an appropriate frequency range, and afterwards, the output is analyzed and the modes are determined with an acceptable accuracy. In the end, using various simulations, the highly appropriate efficiency of this transform in determining dominant modes has been demonstrated compared to methods based on the conventional frequency time field.
Full text: IJAIMIRC-005.pdf

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