摘要
以均质细杆上加一配重在摆动中不受阻力作用作为物理模型,从配重复摆振动的非线性微分方程出发,借助Mathematica数学软件求得复摆非线性微分方程的数值解并进行作图,并从数值解中获取周期的信息,研究了3种情况下的周期。研究表明,周期的数值解具有较高的精度,这种数值求解方法扩展了配重复摆的研究途径与方法,具有一定的应用价值。
Homogeneous thin rod with a weight added without considering resistance was taken as a physical model in this paper. Based on the nonlinear differential equation, the cycle of pendulum for three different situations was studied based on the Mathematica simulation. Some figures according to the numerical solution are also presented. It is assumed that the numerical solution has a high accuracy, which will extend way and method of the research into the pendulum cycle. It is hoped that the numerical study in this paper will be useful for further investigation of the penduhun cycle.
出处
《实验室研究与探索》
CAS
北大核心
2012年第10期59-63,80,共6页
Research and Exploration In Laboratory
基金
重庆市教委资助项目(103154)
