On the Solution of Some Vibration Problems Using Variational Iteration Method.

  • Rilwan A. Mustapha Department of Mathematics, Lagos State University, Ojo, Lagos, Nigeria.
  • Gbolahan A. Idowu Department of Mathematics, Lagos State University, Ojo, Lagos State, Nigeria.
  • Michael O. Ajetunmobi Department of Mathematics, Lagos State University, Ojo, Lagos, Nigeria.
Keywords: Variational Iteration Method (VIM), Vibrations, Analytical solutions and Nonlinear oscillations.

Abstract

In this paper, we implement a new analytical technique, variational iteration method for solving some vibration problems. The variational iteration algorithm leads to analytical solutions in the present study. The results show that the present method can be easily extended to other nonlinear oscillations and it can be predicted that variational iteration method can be found widely applicable in engineering and physics.

References

Meirovitch, L. Computational Methods in Structural Dynamics. Sijthoff and Noordhoff International Publishers. , (1980).

Sedighi, H. M. Nonlinear free vibrations of quintic inextensional beams lying on Winkler elastic substate based on three-mode assumptions.. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 10, (2015).

Hashemi, M.H. & Nikkar, A. On the approximate analytical solution for parametrically nonlinear excited oscillators.. Geomechanics and Geoengineering. DOI: 10.1080, 17486025.2014.969787. (2014).

Published
2018-08-06
How to Cite
Mustapha, R. A., Idowu, G. A., & Ajetunmobi, M. O. (2018). On the Solution of Some Vibration Problems Using Variational Iteration Method. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2018, 321 - 337. Retrieved from http://ijmso.unilag.edu.ng/article/view/48
Section
Articles