Analysis of the motion of a rigid rod on a circular surface using interpolated variational iteration method

In this paper, interpolated variational iteration method (IVIM) is applied to investigate the vibration period and steady-state response for motion of rigid rod rocking back forth on a circular surface without slipping. The problem can be considered as strongly nonlinear oscillator. solution procedure, analytical technique utilized by evaluating integrals numerically. approximate results produced presented are compared with other existing solutions available in literature. advantage using numerical evaluation integrals, becomes fast convergent highly accurate obtained within seconds. authors believe that has potentially wide application oscillation problems.