Solution of Duffing-Harmonic Oscillator by the Power Series Method
作者机构：Mechanical Engineering DepartmentUniversity of JordanAmman 11942Jordan
出 版 物：《Journal of Mechanics Engineering and Automation》 (机械工程与自动化（英文版）)
年 卷 期：2021年第11卷第6期
页 面：165-170页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Nonlinear power series Duffing-harmonic oscillator
摘 要：This paper provides a power series solution to the Duffing-harmonic oscillator and compares the frequencies with those obtained by the harmonic balance *** capture the periodic motion of the oscillator,the power series expansion is used upon transforming the time variable into an“oscillating timewhich reduces the governing equation to a form well-conditioned for a power series solution.A recurrence equation for the series coefficients is established in terms of the“oscillating timefrequency which is then determined by employing Rayleigh’s energy *** response of the oscillator is compared with a numerical solution and good agreement is demonstrated.
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