| 用局部常化三倍角公式研究单摆周期 |
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| 引用本文： | 谭志中,罗礼进.用局部常化三倍角公式研究单摆周期[J].大学物理,2007,26(11):25-28,33. |
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| 作者姓名： | 谭志中 罗礼进 |
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| 作者单位： | 南通大学,理学院,江苏,南通,226007;南通大学,理学院,江苏,南通,226007 |
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| 摘 要： | 应用局部常化方法对三倍角公式进行局部常化处理,对一类非线性动力学方程进行了一种简洁的近似修正,得到精确度较高的大摆角单摆运动周期的两个新结论,同时用此结论推导出一个简洁的推论,并且用3种方法进行了具体比较.
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| 关 键 词： | 非线性方程 单摆周期 局部常化 MATLAB 椭圆积分 |
| 文章编号： | 1000-0712（2007）11-0025-04 |
| 收稿时间： | 2006-10-16 |
| 修稿时间： | 2006-10-16 |
A laconic method for studying the period of a simple pendulum |
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| TAN Zhi-zhong,LUO Li-jin.A laconic method for studying the period of a simple pendulum[J].College Physics,2007,26(11):25-28,33. |
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| Authors: | TAN Zhi-zhong LUO Li-jin |
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| Institution: | College of Science, Nantong University, Nantong, Jiangsu 226007, China |
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| Abstract: | A kind of laconic method is established for solving the nonlinear dynamics equation and the period of simple pendulum is stadied,three new formulas are obtained,these approximate formulas are compared with the accurate one by charts and errors calculation,furthermore the laconic approximation for complete elliptic integral of the first kind is obtained. |
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| Keywords: | nonlinear equation simple pendulum MATLAB complete elliptic integral |
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