A Novel Method to Improve the Multiple-scales Solution of the Forced Strongly Nonlinear Oscillators

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Status	已發表Published
	A Novel Method to Improve the Multiple-scales Solution of the Forced Strongly Nonlinear Oscillators
	Du, H. E.; Er, G. K.; Iu, V. P.
	2017-07-01
Source Publication	Proceedings of 8th International Conference on Computational Methods
Abstract	We propose a novel procedure to improve the solution obtained by perturbation methods for analyzing the solutions of strongly nonlinear systems. The multiple-scales method, one of the perturbation method, is widely used in many areas. However, multiple-scales method fails in analyzing the solutions of oscillators if the oscillator nonlinearity is strong. We apply the proposed procedure to improve the multiple-scales method to obtain the optimum solution of the forced oscillator with strongly nonlinear restoring and inertial forces. The solutions obtained from multiple-scales method and the proposed method are examined by the numerical solution obtained from 4th-order Runge-Kutta method. The results show that the proposed method is effective for the oscillators with nonlinear restoring force as well as nonlinear inertial force even if the nonlinearities are strong. Numerical results and comparison show that the proposed method can improve the solution a lot in comparison to the solution obtained by conventional multiple-scales method.
Keyword	Perturbation method Strong nonlinearity Nonlinear restoring force Nonlinear inertial force Forced Vibration
Language	英語English
The Source to Article	PB_Publication
PUB ID	29900
Document Type	Conference paper
Collection	DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING Faculty of Science and Technology
Recommended Citation GB/T 7714	Du, H. E.,Er, G. K.,Iu, V. P.. A Novel Method to Improve the Multiple-scales Solution of the Forced Strongly Nonlinear Oscillators[C], 2017.
APA	Du, H. E.., Er, G. K.., & Iu, V. P. (2017). A Novel Method to Improve the Multiple-scales Solution of the Forced Strongly Nonlinear Oscillators. Proceedings of 8th International Conference on Computational Methods.

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