| 无阻尼单摆运动方程的对数函数形式的特解 |
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| 引用本文： | 张广平.无阻尼单摆运动方程的对数函数形式的特解[J].贵州大学学报(自然科学版),2010,27(5):11-15. |
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| 作者姓名： | 张广平 |
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| 作者单位： | 陇东学院物理与电子工程学院,甘肃庆阳745000 |
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| 摘 要： | 通过变换正弦函数,将无阻尼单摆运动方程转为等价的多项式类型的非线性常微分方程。这种常微分方程在F展开法的基础上,可以应用推广的Riccati方程方法求解,能得到对数函数形式的多种特解。
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| 关 键 词： | 无阻尼单摆 非线性方程 Riccati方程方法 对数函数特解 |
A Special Solution to Motional Eqution of the Undumped Simple Pendulum on the Logarithmic Function |
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| ZHANG Guang-ping.A Special Solution to Motional Eqution of the Undumped Simple Pendulum on the Logarithmic Function[J].Journal of Guizhou University(Natural Science),2010,27(5):11-15. |
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| Authors: | ZHANG Guang-ping |
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| Institution: | ZHANG Guang-ping(College of Physics and Electronic Engineering,Long-Dong University,Qingyang 745000,China) |
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| Abstract: | By changing sine function,it transfers motional equation of the undamped simple pendulum to nonlinear ordinary differential equations of the equation polynomial type in the paper.Based on the F expansional method,which can be solved by the promotive Riccati equation method,the various special solution of logarithmic function can be obtained. |
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| Keywords: | undamped simple pendulum nonlinear equations Riccati equation method special solution of logarithmic function |
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