| 单摆运动的非谐振和弱阻尼修正 |
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| 引用本文： | 刘国跃,龚劲涛,吴英.单摆运动的非谐振和弱阻尼修正[J].绵阳师范学院学报,2007,26(2):38-41. |
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| 作者姓名： | 刘国跃 龚劲涛 吴英 |
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| 作者单位： | 绵阳师范学院理论物理研究所,四川绵阳,621000 |
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| 基金项目： | 四川省教育厅重点项目(2005A182) |
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| 摘 要： | 理想的单摆运动虽然简单却不实际,实际情况需要在理想情况的基础上进行修正和改进。但实际的单摆运动的分析求解将会导致没有解析解的椭圆积分。本文依据物理学的微扰思想,在分析实际单摆运动物理意义的基础上,采用微扰分析法给出了高阶修正的形式解,并在此基础上进一步考虑了弱阻尼的影响,得到了考虑了高阶修正和弱阻尼影响后的解析解,既体现了问题的物理意义,数学处理又比较简洁,结果表明所得到的结论是正确的。本文还对相关问题进行了讨论。
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| 关 键 词： | 单摆运动 非谐振修正 阻尼影响 微扰分析法 |
| 文章编号： | 24313500 |
| 修稿时间： | 11 25 2006 12:00AM |
An Inharmonic and Weak Damped Amendment to Simple Pendulum Movement |
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| LIU Guo-yue,GONG Jing-tao,WU Ying.An Inharmonic and Weak Damped Amendment to Simple Pendulum Movement[J].Journal of Mianyang Normal University,2007,26(2):38-41. |
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| Authors: | LIU Guo-yue GONG Jing-tao WU Ying |
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| Institution: | Department of Physics, Mianyiang Normal University, Mianyang, Sichuan 621000 |
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| Abstract: | The ideal simple pendulum movement is not practical though it is simple,and the practical case comes from the correction and improvement of the ideal case.The relative analysis and resolving usually lead to the elliptic integral which is difficult to be resolved.Based on the perturbation view and the analysis on the physical meaning of real simple pendulum movement,the formal expression of simple pendulum movement including high-order correction is obtained.In addition,the weak damped reflection is also discussed.The final analytical expression of simple pendulum movement is obtained.The result shows clear physical meaning and relatively simple mathematic course. |
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| Keywords: | simple pendulum movement inharmonic correction weak damped reflection perturbation method |
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