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

Year 2022, Volume: 40 Issue: 3, 577 - 584, 09.10.2022

Safa Bozkurt Coşkun Erman Şentürk Mehmet Tarık Atay

Abstract

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.

Keywords

Analytical Approximate Solution, Interpolated Variational Iteration Method, Nonlinear Oscillator, Vibration, Rigid Rod

References

• The article references can be accessed from the .pdf file.