Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using max–min approach

Abstract

This paper used an ideal periodic solution which is called max–min approach (MMA) to evaluate oscillation systems with nonlinearity terms such as motion of a rigid rod rocking back. This method introduces an alternative to overcome the difficulty of computing the periodic behavior of the oscillation problems in engineering. To assess the accuracy of solutions, the results were compared with the exact ones. The most significant features of this method are the simplicity and the excellent agreement with the exact results for the various parameters. Furthermore, the results reveal that one iteration leads to high accuracy of the solution. This solution may be useful for the explanation of some practical physical problems.