有心平面振子的轨迹分析  

On Analysis of Motion Trajectory of Plane Oscillator with Central Force

作　　者：刘义东[1] 王建东[1] 刘普生[1] 

机构地区：[1]电子科技大学物理电子学院,成都610054

出　　处：《西南师范大学学报（自然科学版）》2014年第1期152-156,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：中央高校基本业务费项目(ZYGX2011J039;ZYGX2011J047)

摘　　要：以有心平面振子为模型,运用牛顿第二定律和角动量守恒定律,给出了其轨迹满足的微分方程;采用数值计算方法得到周期性变化的振子运动轨迹,并给出振子运动的环形区域的内外半径的解析表达式;进一步地,还讨论了环形区域外半径和轨迹周期随约束参数的变化特征.Base on the model of the plane oscillator with central force,the differential equation of the mo-tion traj ectory has been obtained from Newton's second law and law of conservation of angular momentum in this work.Following the numerical simulation,we have found the periodic change of the motion traj ec-tory which is limited in an annular region with radius of inner and outer boundaries given analytically.Fur-ther more,the variation of the radii of the outer boundary and the cycle of the motion traj ectory with a constraint parameter is detailed.This work is illuminative to mechanics in college physics.

关 键 词：大学物理教学 力学 弹簧振子 

分 类 号：O322[理学—一般力学与力学基础]