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