Journal of Theoretical
and Applied Mechanics
50, 1, pp. 215-229, Warsaw 2012
Motion of a rigid rod rocking back and forth and cubic-quintic Duffing oscillators
In this work, we implemented the first-order approximation of the Iteration Perturbation Method (IPM) for approximating the behavior of a rigid rod rocking back and forth on a circular surface without slipping as well as Cubic-Quintic Duffing Oscillators. Comparing the results with the exact solution, has led us to significant consequences. The results reveal that the IPM is very effective, simple and convenient to systems of nonlinear equations. It is predicted that IPM can be utilized as a widely applicable approach in engineering.
Keywords: nonlinear oscillation; iteration perturbation method (IPM); rocking rigid rod; cubic-quintic Duffing oscillator