%0 Journal Article
%T Nonlinear oscillators with rational terms: A new semi-analytical technique
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Khan, Y.
%A Fardi, M.
%A Hemati Boroujeni, F.
%D 2013
%\ 08/01/2013
%V 20
%N 4
%P 1153-1160
%! Nonlinear oscillators with rational terms: A new semi-analytical technique
%K Nonlinear oscillators
%K Approximate periodic solution
%K Homotopy analysis method
%K Rational elastic terms
%R
%X This paper presents a new generalization of the standard homotopy analysis approach towards solving nonlinear oscillators equations with rational terms. By using this method, analytical approximations to the frequency of these oscillators and periodic
solutions are calculated. Excellent agreement of the approximate frequencies and periodic
solutions with exact ones is demonstrated and discussed. It is shown that this method is very simple, eective and convenient for solving nonlinear oscillator problems with rational terms.
%U https://scientiairanica.sharif.edu/article_1495_df0ae693d3042043233d26b9a7d3c09b.pdf