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

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

6 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Makale numarası	450862
Dergi	Mathematical Problems in Engineering
Hacim	2009
DOI'lar	https://doi.org/10.1155/2009/450862
Yayın durumu	Yayınlandı - 2009

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10.1155/2009/450862

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Alıntı Yap

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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",

doi = "10.1155/2009/450862",

language = "English",

volume = "2009",

journal = "Mathematical Problems in Engineering",

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T1 - Higher-Order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach

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.

UR - http://www.scopus.com/inward/record.url?scp=68949114358&partnerID=8YFLogxK

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

Özet

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