| 变长平面单摆运动的精确解 |
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| 引用本文： | 姚端正,刘绪欣. 变长平面单摆运动的精确解[J]. 武汉大学学报(理学版), 1999, 0(5) |
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| 作者姓名： | 姚端正 刘绪欣 |
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| 作者单位： | 武汉大学物理学系!武汉430072(姚端正)，武汉市广播电视大学!武汉430022(刘绪欣) |
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| 摘 要： | 通过在极坐标形式下选择一特定的试探解和作适当的变量代换，将变长平面单摆小球运动所满足的非线性常微分方程组的求解问题，转化为解高次代数方程的问题，进而用解代数方程的卡尔丹公式求得了其精确解．
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| 关 键 词： | 平面单摆 非线性方程 精确解 |
Exact Solutions for the Nonlinear Equations Describing the Motion of A Pendulum With Variable Length |
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| YAO Duan|zheng ,LIU Xu|xin. Exact Solutions for the Nonlinear Equations Describing the Motion of A Pendulum With Variable Length[J]. JOurnal of Wuhan University:Natural Science Edition, 1999, 0(5) |
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| Authors: | YAO Duan|zheng LIU Xu|xin |
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| Affiliation: | YAO Duan|zheng 1,LIU Xu|xin 2 |
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| Abstract: | The problem solving nonlinear ordindary differential equations used to describe the motion of a pendulum with variable length has been turned to that solving an algebrac equation by choosing a trial solution of a special form and by using reasonable variable change in polar coordinates.Thus the nonlinear oridinary differential equations have been solved exactly. |
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| Keywords: | a simple pendulum nonlinear oridinary differential equation exact solution |
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