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| 利用线化和校正法求非线性单摆运动的周期 | |
| 引用本文： | 龚善初. 利用线化和校正法求非线性单摆运动的周期[J]. 大学物理, 2006, 25(2): 16-18 |
| 作者姓名： | 龚善初 |
| 作者单位： | 广东揭阳学院,机电工程系,广东,揭阳,522000 |
| 基金项目： | 揭阳学院级重点资助项目(JYCKZ0502) |
| 摘 要： | 应用线化和校正方法,研究了单摆的非线性振动,作出了周期比和相对误差随摆角的变化曲线.将所得近似解与精确解比较可知,该方法具有简单实用,精度高,相对误差低等优点,对于求解非线性振动问题具有一定的实用价值. |
| 关 键 词： | 非线性单摆 周期 近似解 线化和校正法 |
| 文章编号： | 1000-0712(2006)02-0016-03 |
| 收稿时间： | 2005-05-10 |
| 修稿时间： | 2005-10-08 |
The period of a nonlinear pendulum calculated by linearization and correction method |
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| GONG Shan-chu. The period of a nonlinear pendulum calculated by linearization and correction method[J]. College Physics, 2006, 25(2): 16-18 | |
| Authors: | GONG Shan-chu |
| Abstract: | The vibration of the nonlinear pendulum is studied by means of linearization and correction method,the curves of the period ratio and the relative error is plotted.The conclusions are that compared to classic solution,the approximate solution has advantage of simpleness and higher accuracy |
| Keywords: | nonlinear pendulum period approximate solution linearization and correction method |
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