Numerical Solution of Nonlinear Vibration by Euler-Cromer Method

9th Annual Basic Science International Conference 2019

自然科学（总论）

Saroja, Gancang^1 ; Nuriyah, Lailatin^1

Physics Department, University of Brawijaya, East Java, Malang, Indonesia^1

关键词: Computational software;    Duffing oscillator;    Non-linear vibrations;    Nonlinear vibration equation;    Numerical solution;    Physical systems;    Van der Pol;    Vibration equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/546/3/032029/pdf
DOI  :  10.1088/1757-899X/546/3/032029

学科分类：自然科学（综合）

来源: IOP

【 摘 要 】

Nonlinear equations are able to present many behaviours of physical systems better than linear equations. Analytical solutions to nonlinear vibration equations have intractability characteristics, while limitations in computational software resources make it difficult to study systematically the phenomena in many systems. In this paper, the Euler-Cromer method is used to solve numerically the vibration equation nonlinear. The nonlinear vibrations of the equation of harmonic, Van der Pol, and Duffing oscillator motion are used as the physical case models to solve. Simulation results show that the Euler-Cromer method provides a numerical solution that is easy to implement and accurate.