弹簧摆动力学行为演示仪  

Dynamic behavior demonstrator of spring pendulum

作　　者：何玉吉 汪金芝[1] 梁卓凡 李青峰 HE Yu-ji;WANG Jin-zhi;LIANG Zhuo-fan;LI Qing-feng(Robotics College,Ningbo University of Technology,Ningbo,Zhejiang 315211,China)

机构地区：[1]宁波工程学院机器人学院,浙江宁波315211

出　　处：《大学物理》2021年第3期62-65,共4页College Physics

基　　金：浙江省高等教育“十三五”教学改革研究项目(jg20190486);宁波教育科学规划课题(2018YGH010)资助。

摘　　要：在非线性保守系统中,弹簧摆结构简单,运动特性较为典型.本文通过拉格朗日方程对弹簧摆系统进行理论分析解得运动方程,并在径向和切向将运动分解,运用图像处理技术设计制作了弹簧摆演示仪和实验软件,对运动轨迹与时序图进行可视化.软件绘制的弹簧摆轨迹与理论结果具有较好的一致性.In the non-linear conservative system,the spring pendulum has simple structure and typical motion characteristics.In this paper,the motion equation of the spring pendulum system is obtained through the theoretical analysis of the Lagrangian equation,and the motion is decomposed in the radial and tangential directions.The spring pendulum demonstrator and experimental software are designed by using image processing technology to visualize the motion track and time sequence diagram The trajectory drawn by the software is in good agreement with the theoretical results.

关 键 词：弹簧摆 图像处理 拉格朗日方程 

分 类 号：O4-33[理学—物理]