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

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.