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- Title
Higher order explicit solutions for nonlinear dynamic model of column buckling using variational approach and variational iteration algorithm-II.
- Authors
Bagheri, Saman; Nikkar, Ali
- Abstract
This paper deals with the determination of approximate solutions for a model of column buckling using two efficient and powerful methods called He's variational approach and variational iteration algorithm-II. These methods are used to find analytical approximate solution of nonlinear dynamic equation of a model for the column buckling. First and second order approximate solutions of the equation of the system are achieved. To validate the solutions, the analytical results have been compared with those resulted from Runge-Kutta 4th order method. A good agreement of the approximate frequencies and periodic solutions with the numerical results and the exact solution shows that the present methods can be easily extended to other nonlinear oscillation problems in engineering. The accuracy and convenience of the proposed methods are also revealed in comparisons with the other solution techniques.
- Subjects
MECHANICAL buckling; MATHEMATICAL models; NONLINEAR dynamical systems; RUNGE-Kutta formulas; NONLINEAR oscillations
- Publication
Journal of Mechanical Science & Technology, 2014, Vol 28, Issue 11, p4605
- ISSN
1738-494X
- Publication type
Article
- DOI
10.1007/s12206-014-1028-z