On the Analytical Solution of Kirchhoff Simplified Model for Beam by using of Homotopy Analysis Method

نویسندگان

  • Mostafa Rahimpour
  • M. Fooladi
  • M. Rahimpour
چکیده

In this paper the problem of Kirchhoff simplified model for beam is studied and analytical solution is presented. Governing equation is solved analytically using a kind of analytic technique for nonlinear problems namely the Homotopy Analysis Method (HAM), for the first time. Present solution gives an expression which can be used in wide range of time for all domain of response and method is able to control the convergence of the solution. Comparisons of the obtained solutions with numerical results show that this method is effective and convenient for solving this problem. This method is a capable tool for solving this kind of nonlinear problems.

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تاریخ انتشار 2009