| 无阻尼单摆运动方程精确解的讨论 |
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| 引用本文： | 张广平.无阻尼单摆运动方程精确解的讨论[J].青海大学学报,2009,27(6):36-41. |
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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： | 采用F展开法,讨论无阻尼单摆运动方程精确的Jacobi椭圆函数、双曲函数、三角函数和常数4种表达形式,得到在普适形式、特殊形式和退化形式下45种精确解。
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| 关 键 词： | 非线性振动 F-展开法 无阻尼单摆 运动方程 精确解 |
Discussion on the pricise solution in the motion equation of a non-demped pendulum |
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| ZHANG Guang-ping.Discussion on the pricise solution in the motion equation of a non-demped pendulum[J].Journal of Qinghai University(Natural Science),2009,27(6):36-41. |
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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: | Using the F-expansion method,four expression forms of pricise solutions,Jacobi eliptic function,hyperbolic function,trigonometric function and constant,are discussed in this paper and 45 kinds of pricise solutions are obtained under the universal form,special form and degradation form. |
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| Keywords: | non-linear vibration F-expansion method non-demped pendulum motion equation pricise solution |
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