| 无阻力任意摆角下配重复摆振动的数值研究 |
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| 引用本文： | 陈希明,潘娜娜,潘宇.无阻力任意摆角下配重复摆振动的数值研究[J].渝西学院学报(自然科学版),2012(1):45-49. |
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| 作者姓名： | 陈希明 潘娜娜 潘宇 |
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| 作者单位： | 重庆邮电大学数理学院,重庆南岸400065 |
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| 基金项目： | 重庆市教委高等教育资助项目（103154） |
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| 摘 要： | 从振动的非线性微分方程出发,采用Mathematica数值模拟不同摆角与配重位置下配重复摆的运动过程并得到其周期.当悬挂点和配重的位置固定时,数值研究配重复摆的周期与角振幅的拟合关系,得到任意摆角配重复摆的周期拟合公式,通过计算得出拟合周期并将之与数值周期进行比较.
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| 关 键 词： | Mathematica 复摆 配重 周期 |
The numerical study on the oscillation of weighted physical pendulum at any swing angle without resistance |
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| Authors: | CHEN Xi-ming PAN Na-na PAN Yu |
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| Institution: | (College of Mathematics and Physics,Chongqing University of Posts and Telecommunications,Nanan Chongqing 400065,China) |
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| Abstract: | From the non-linear differential equation of oscillation,the vibration and the corresponding period of weighted physical pendulum numerically were investigated by Mathematica under conditions of different swing angles and weight positions.The relation between the period and angular amplitude were discussed by fitting when the positions of suspension point and weight are fixed,and the fitting period function of weighted physical pendulum at any swing angle with the numerical period was compared. |
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| Keywords: | Mathematica physical pendulum weight period |
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