Higher-Order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach

M. Orhan Kaya; S. Altay Demirba; F. Özen Zengin

doi:10.1155/2009/450862

Higher-Order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach

M. Orhan Kaya^*, S. Altay Demirba, F. Özen Zengin

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

He's variational approach is modified for nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn(u). Three levels of approximation have been used. We obtained 1.6 relative error for the first approximate period, 0.3 relative error for the second-order approximate period. The third approximate solution has the accuracy as high as 0.1.

Original language	English
Article number	450862
Journal	Mathematical Problems in Engineering
Volume	2009
DOIs	https://doi.org/10.1155/2009/450862
Publication status	Published - 2009

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title = "Higher-Order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach",

abstract = "He's variational approach is modified for nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn(u). Three levels of approximation have been used. We obtained 1.6 relative error for the first approximate period, 0.3 relative error for the second-order approximate period. The third approximate solution has the accuracy as high as 0.1.",

author = "{Orhan Kaya}, M. and {Altay Demirba}, S. and {{\"O}zen Zengin}, F.",

year = "2009",

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AU - Orhan Kaya, M.

AU - Altay Demirba, S.

AU - Özen Zengin, F.

PY - 2009

Y1 - 2009

N2 - He's variational approach is modified for nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn(u). Three levels of approximation have been used. We obtained 1.6 relative error for the first approximate period, 0.3 relative error for the second-order approximate period. The third approximate solution has the accuracy as high as 0.1.

AB - He's variational approach is modified for nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn(u). Three levels of approximation have been used. We obtained 1.6 relative error for the first approximate period, 0.3 relative error for the second-order approximate period. The third approximate solution has the accuracy as high as 0.1.

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U2 - 10.1155/2009/450862

DO - 10.1155/2009/450862

M3 - Article

AN - SCOPUS:68949114358

SN - 1024-123X

VL - 2009

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 450862

ER -

Higher-Order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach

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