Variational Iteration Method for Nonlinear Vibration of Systems with Linear and Nonlinear Stiffness
نویسندگان
چکیده
In this study, accurate analytical solution for the nonlinear free vibration of an oscillator with inertia and static type cubic nonlinearities is derived. This solution is called He’s Variational Iteration Method (VIM). Comparing this method with numerical integration solutions using a built-in ODE-solver in MATLAB and He’s Homotopy Analysis Method (HAM) is shown its drastic approximation. By using VIM, only a few iterations lead us to high accuracy of the solutions and it is valid for whole solution domain.
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