VARIATIONAL APPROACH FOR APPROXIMATE ANALYTICAL SOLUTION TO NON-NATURAL VIBRATION EQUATIONS

Document Type : Research Paper

Authors

1 Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University, Mashhad, I. R. of Iran

2 Department of Civil Engineering, Mashhad Branch, Islamic Azad University, Mashhad, I. R. of Iran

Abstract

In this study, He’s Variational Approach (VA) is used to solve the non-natural
vibrations and oscillations. The method works very well for the whole range of initial amplitudes
and does not demand small perturbation. It is also sufficiently accurate to both linear and nonlinear
physics and engineering problems. We consider some examples to illustrate the effectiveness and
convenience of the method. Runge-Kutta’s [RK] algorithm was also implemented to show the
examples through a numerical method. Finally, to show the accuracy of the VA, the results have
been shown graphically and compared with numerical and exact solution.

Keywords

Iranian Journal of Science and Technology Transactions of Mechanical Engineering
Volume 39, M1+
May 2015
Pages 273-282

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