An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
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DOI：
10.22055/jacm.2016.12268
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发表时间：
2016-08
影响因子：
--
通讯作者：
G. Ismail
中科院分区：
文献类型：
--
作者：
G. Ismail
本文提出了一种求解强非线性振子问题的新的解析方法。迭代摄动法使我们得到了高精度的解。两个不同的高非线性的例子也显示了所提出的方法的应用和精度。在不同的图形中，将计算结果与解析解和龙格-库塔法数值解进行了比较。结果表明，迭代摄动法不需要任何小的摄动，对非线性振子方程是精确的。
In this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The results are compared with analytical methods and with the numerical solution using Runge-Kutta method in different figures. It has been shown that the iteration perturbation approach doesn't need any small perturbation and is accurate for nonlinear oscillator equations.