| 无阻尼单摆运动方程反函数形式的精确解 |
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| 引用本文： | 张广平.无阻尼单摆运动方程反函数形式的精确解[J].陇东学院学报(社会科学版),2010(2). |
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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; |
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| 摘 要： | 利用函数进行变换,将单摆的二阶非线性微分方程化为一阶非线性微分方程进行积分求解,再利用三角函数变换,最后求出用Legendre椭圆积分表示的无阻尼单摆运动方程反函数形式的精确解。
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| 关 键 词： | 无阻尼单摆 运动方程 反函数形式 精确解 |
The Exact Solution in Inverse Function Form of the Equation of Non-damped Pendulum Motion |
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| ZHANG Guang-ping.The Exact Solution in Inverse Function Form of the Equation of Non-damped Pendulum Motion[J].Journal of Longdong University(Social Science Edition),2010(2). |
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| Authors: | ZHANG Guang-ping |
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| Institution: | College of Physics and Electronic Engineering/a>;LongDong University/a>;Qingyang 745000/a>;Gansu/a>;China |
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| Abstract: | This paper aims at changing the second order differential equation into the first order one,with function,to get the solution based on integral,and then alternating it with trigonometric function,and finally obtaining the exact solution of the non-damped pendulum in the inverse function form which is signaled with Legendre elliptic integral. |
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| Keywords: | non-damped pendulum equation of motion inverse function form exact solution |
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