Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string
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Articles
A. Krylovas
Mykolas Romeris University, Lithuania
O. Lavcel-Budko
Mykolas Romeris University, Lithuania
P. Miškinis
Vilnius Gediminas Technical University, Lithuania
Published 2010-07-25
https://doi.org/10.15388/NA.15.3.14327
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Keywords

perturbation methods
averaging
nonlinear waves
resonance
approximations

How to Cite

Krylovas, A., Lavcel-Budko, O. and Miškinis, P. (2010) “Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string”, Nonlinear Analysis: Modelling and Control, 15(3), pp. 307–323. doi:10.15388/NA.15.3.14327.
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Vol. 15 No. 3 (2010)

Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string

Abstract

The mathematical model of nonlinear oscillations of weightless string is analyzed. To find an asymptotic solution of the problem, uniformly valid in a long interval of time, an averaged system of integral differential equations has been constructed. A method for constructing special approximations of its solutions is proposed.

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