| 单摆系统的振动研究 |
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| 引用本文： | 于凤军.单摆系统的振动研究[J].大学物理,2009,28(9). |
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| 作者姓名： | 于凤军 |
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| 作者单位： | 安阳师范学院,物理与电气工程学院,河南,安阳,455000 |
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| 摘 要： | 通过求解变张力弦振动微分方程的边值问题,给出摆线与摆球的质量比为任意值时单摆系统运动的一般解和本征频率满足的方程.利用该方程求得高精度的单摆系统周期数值解,特别是拟合出单摆系统作基频振动时一个范围大、精度高的周期近似公式.同时将理论与实验进行比较,结果二者相符.
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| 关 键 词： | 单摆系统 周期 贝塞尔函数 诺依曼函数 |
Study of oscillation of single pendulum system |
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| Yu Feng-jun.Study of oscillation of single pendulum system[J].College Physics,2009,28(9). |
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| Authors: | Yu Feng-jun |
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| Institution: | College of Physics and Electrical Engineering;Anyang Normal University;Anyang;Henan 455000;China |
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| Abstract: | A general solution for the motion of single pendulum system and the equation for its eigenfrequency are given by solving the boundary value problem of equations for vibration of string, in which the tension is variation. The numerical solutions with high accuracy for the period of single pendulum system are obtained using the eigenfrequency equation. A fitting formula for the period of the system being in base-frequency vibration with high precision in the macro-range is found out. |
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| Keywords: | single pendulum system period Bessel function Neumann function |
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