Trigonometric Series Approach for Forced Parametric Vibration Response

HUANG Di-shan

doi:10.3879/j.issn.1000-0887.2013.03.009

Volume 34 Issue 3

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HUANG Di-shan. Trigonometric Series Approach for Forced Parametric Vibration Response[J]. Applied Mathematics and Mechanics, 2013, 34(3): 297-305. doi: 10.3879/j.issn.1000-0887.2013.03.009

Citation:

HUANG Di-shan. Trigonometric Series Approach for Forced Parametric Vibration Response[J]. Applied Mathematics and Mechanics, 2013, 34(3): 297-305. doi: 10.3879/j.issn.1000-0887.2013.03.009

Citation:

HUANG Di-shan. Trigonometric Series Approach for Forced Parametric Vibration Response[J]. Applied Mathematics and Mechanics, 2013, 34(3): 297-305. doi: 10.3879/j.issn.1000-0887.2013.03.009

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Trigonometric Series Approach for Forced Parametric Vibration Response

doi: 10.3879/j.issn.1000-0887.2013.03.009

HUANG Di-shan

School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, P.R.China

Received Date: 2012-12-24
Rev Recd Date: 2013-03-01
Publish Date: 2013-03-15

Abstract

Abstract

Modulation feedback method was used to predict the forced response of a linear system that was governed by an ordinary differential equation with periodic coefficients. The system was excited by both periodic coefficients and external force terms that had different periods. In the method, the forced response is expressed as a special trigonometric series. By applying harmonic balance and limitation operation, all coefficients of the harmonic components in the forced response solution are fully approached. The investigation result shows that the new approach has an advantage in the complete and analytical solution of forced response and in the expression of nonlinear dynamic characteristics, and it is very significant for the theoretical research and engineering application in dealing with the problem of forced parametric vibration.
- parametric vibration,
- forced response,
- trigonometric series

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References(13)

References

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