Higher-Order Approximate Periodic Solutions of a Nonlinear Oscillator with Discontinuity by Variational Approach

Higher-Order Approximate Periodic Solutions of a Nonlinear Oscillator with Discontinuity by Variational Approach

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...

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Veröffentlicht in:Mathematical Problems in Engineering 2009-01, Vol.2009 (1), p.1302-1310-78
Hauptverfasser: M. Orhan Kaya, S. Altay Demirbağ, F. Özen Zengin
Format: Artikel
Sprache:eng
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Zusammenfassung: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%.
ISSN:1024-123X
1563-5147
DOI:10.1155/2009/450862