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

M. Orhan Kaya, S. Altay Demirbağ and F. Özen Zengin

Mathematical Problems in Engineering, 2009, vol. 2009, 1-9

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%.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:450862

DOI: 10.1155/2009/450862

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