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

الملخص EN

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%.