Journal of Applied and Computational Mechanics
Determination of Periodic Solution for Tapered Beams with Modified Iteration Perturbation Method
Document Type : Research Paper
Authors
1 Dept. of Mechanical Engineering, Babol University of Technology, Babol, Iran
2 Assistant Professor, Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
3 Department of Mechanical Engineering, Semnan University, Iran
Abstract
In this paper, we implemented the Modified Iteration Perturbation Method (MIPM) for approximating the periodic behavior of a tapered beam. This problem is formulated as a nonlinear ordinary differential equation with linear and nonlinear terms. The solution is quickly convergent and does not need complicated calculations. Comparing the results of the MIPM with the exact solution shows that this method is effective and convenient. Also, it is predicated that MIPM can be potentially used in the analysis of strongly nonlinear oscillation problems accurately.
Keywords
- Periodic behavior
- Tapered beam
- Modified Iteration Perturbation Method (MIPM)
- Nonlinear ordinary differential equation
- Nonlinear oscillation
Main Subjects
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