利用Jacobi椭圆函数精确分析单摆的运动  

Exact Analysis of Single Pendulum by Jacobi Ellipse Function

作　　者：刘雅洁[1] 朱海滨[1] 杨琴[1] 

机构地区：[1]嘉兴学院机电工程学院,浙江嘉兴314001

出　　处：《嘉兴学院学报》2007年第6期5-7,共3页Journal of Jiaxing University

摘　　要：借助Jacobi椭圆函数的性质,精确地分析了单摆的实际运动情况,得到的结论是单摆的运动是周期运动,但其运动周期与初始条件有关.并通过计算机仿真,给出了直观的图像.The locomotion of single pendulum is analyzed exactly by virtue of Jacobi ellipse function. The conclusion is that the locomotion of single pendulum is periodic, depending on the initialization given both analytically and numerically. And vivid images are provided through computer emulation.

关 键 词：椭圆函数 单摆 周期运动 

分 类 号：O174.54[理学—数学]