利用线化和校正法求非线性单摆运动的周期  

The period of a nonlinear pendulum calculated by linearization and correction method

作　　者：龚善初[1] 

机构地区：[1]广东揭阳学院机电工程系,广东揭阳522000

出　　处：《大学物理》2006年第2期16-18,共3页College Physics

基　　金：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.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 tha~ compared to classic solution,the approximate solution has advantage of simpleness and higher accuracy

关 键 词：非线性单摆 周期 近似解 线化和校正法 

分 类 号：O322[理学—一般力学与力学基础]