Abstract
A new non-Gaussian linearization method is developed for extending the analysis of Gaussian white-noise excited nonlinear oscillator to incorporate sinusoidal excitation. The non-Gaussian linearization method is developed through introducing a modulated correction factor on the linearization coefficient which is obtained by Gaussian linearization. The time average of cyclostationary response of variance and noise spectrum is analyzed through the correction factor. The validity of the present non-Gaussian approach in predicting the statistical response is supported by utilizing Monte Carlo simulations. The present non-Gaussian analysis, without imposing restrictive analytical conditions, can be obtained by solving nonlinear algebraic equations. The non-Gaussian solution effectively predicts accurate sinusoidal and noise response when the nonlinear system is subjected to both sinusoidal and white-noise excitations.
| Original language | English |
|---|---|
| Article number | 051030 |
| Journal | Journal of Computational and Nonlinear Dynamics |
| Volume | 12 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2017 Sep 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Mechanical Engineering
- Applied Mathematics
Cite this
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Extension of Nonlinear Stochastic Solution to Include Sinusoidal Excitation-Illustrated by Duffing Oscillator. / Chang, Ren-Jung.
In: Journal of Computational and Nonlinear Dynamics, Vol. 12, No. 5, 051030, 01.09.2017.Research output: Contribution to journal › Article
TY - JOUR
T1 - Extension of Nonlinear Stochastic Solution to Include Sinusoidal Excitation-Illustrated by Duffing Oscillator
AU - Chang, Ren-Jung
PY - 2017/9/1
Y1 - 2017/9/1
N2 - A new non-Gaussian linearization method is developed for extending the analysis of Gaussian white-noise excited nonlinear oscillator to incorporate sinusoidal excitation. The non-Gaussian linearization method is developed through introducing a modulated correction factor on the linearization coefficient which is obtained by Gaussian linearization. The time average of cyclostationary response of variance and noise spectrum is analyzed through the correction factor. The validity of the present non-Gaussian approach in predicting the statistical response is supported by utilizing Monte Carlo simulations. The present non-Gaussian analysis, without imposing restrictive analytical conditions, can be obtained by solving nonlinear algebraic equations. The non-Gaussian solution effectively predicts accurate sinusoidal and noise response when the nonlinear system is subjected to both sinusoidal and white-noise excitations.
AB - A new non-Gaussian linearization method is developed for extending the analysis of Gaussian white-noise excited nonlinear oscillator to incorporate sinusoidal excitation. The non-Gaussian linearization method is developed through introducing a modulated correction factor on the linearization coefficient which is obtained by Gaussian linearization. The time average of cyclostationary response of variance and noise spectrum is analyzed through the correction factor. The validity of the present non-Gaussian approach in predicting the statistical response is supported by utilizing Monte Carlo simulations. The present non-Gaussian analysis, without imposing restrictive analytical conditions, can be obtained by solving nonlinear algebraic equations. The non-Gaussian solution effectively predicts accurate sinusoidal and noise response when the nonlinear system is subjected to both sinusoidal and white-noise excitations.
UR - http://www.scopus.com/inward/record.url?scp=85025081476&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85025081476&partnerID=8YFLogxK
U2 - 10.1115/1.4037105
DO - 10.1115/1.4037105
M3 - Article
AN - SCOPUS:85025081476
VL - 12
JO - Journal of Computational and Nonlinear Dynamics
JF - Journal of Computational and Nonlinear Dynamics
SN - 1555-1423
IS - 5
M1 - 051030
ER -