An asymptotic method applied to nonlinear systems with coupled deflection

L. Cveticanin; H. Yamakawa; O. Matsushita

doi:10.1016/0016-0032(91)90007-P

An asymptotic method applied to nonlinear systems with coupled deflection

L. Cveticanin^*, H. Yamakawa, O. Matsushita

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

A new development in the Bogolubov-Mitropolski method for solving nonlinear differential equations of motion for systems with finite degrees of freedom with coupled deflection is presented. A function is introduced which takes into account the influence of small nonlinearities on the amplitude ratio and on the perturbation of the phase angle. The results obtained by the method for several systems of two bodies exhibiting coupled deflection are compared with results obtained by the classical Bogolubov-Mitropolski method and with exact solutions (where possible). The comparison illustrates and confirms the effectiveness of the method.

Original language	English
Pages (from-to)	71-83
Number of pages	13
Journal	Journal of the Franklin Institute
Volume	328
Issue number	1
DOIs	https://doi.org/10.1016/0016-0032(91)90007-P
Publication status	Published - 1991

ASJC Scopus subject areas

Signal Processing
Information Systems and Management
Control and Systems Engineering
Electrical and Electronic Engineering
Applied Mathematics
Control and Optimization
Modelling and Simulation

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10.1016/0016-0032(91)90007-P

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abstract = "A new development in the Bogolubov-Mitropolski method for solving nonlinear differential equations of motion for systems with finite degrees of freedom with coupled deflection is presented. A function is introduced which takes into account the influence of small nonlinearities on the amplitude ratio and on the perturbation of the phase angle. The results obtained by the method for several systems of two bodies exhibiting coupled deflection are compared with results obtained by the classical Bogolubov-Mitropolski method and with exact solutions (where possible). The comparison illustrates and confirms the effectiveness of the method.",

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T1 - An asymptotic method applied to nonlinear systems with coupled deflection

AU - Cveticanin, L.

AU - Yamakawa, H.

AU - Matsushita, O.

PY - 1991

Y1 - 1991

N2 - A new development in the Bogolubov-Mitropolski method for solving nonlinear differential equations of motion for systems with finite degrees of freedom with coupled deflection is presented. A function is introduced which takes into account the influence of small nonlinearities on the amplitude ratio and on the perturbation of the phase angle. The results obtained by the method for several systems of two bodies exhibiting coupled deflection are compared with results obtained by the classical Bogolubov-Mitropolski method and with exact solutions (where possible). The comparison illustrates and confirms the effectiveness of the method.

AB - A new development in the Bogolubov-Mitropolski method for solving nonlinear differential equations of motion for systems with finite degrees of freedom with coupled deflection is presented. A function is introduced which takes into account the influence of small nonlinearities on the amplitude ratio and on the perturbation of the phase angle. The results obtained by the method for several systems of two bodies exhibiting coupled deflection are compared with results obtained by the classical Bogolubov-Mitropolski method and with exact solutions (where possible). The comparison illustrates and confirms the effectiveness of the method.

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JF - Journal of the Franklin Institute

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An asymptotic method applied to nonlinear systems with coupled deflection

Abstract

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