大学生园地

弹簧摆动力学行为演示仪

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  • 宁波工程学院机器人学院,浙江宁波315211
何玉吉( 1999—) ,女,浙江绍兴人,宁波工程学院机器人学院 2018 级本科生.

收稿日期: 2020-06-01

  修回日期: 2020-07-06

  网络出版日期: 2021-03-23

基金资助

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

Dynamic behavior demonstrator of spring pendulum

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  • Robotics College,Ningbo University of Technology,Ningbo,Zhejiang 315211,China

Received date: 2020-06-01

  Revised date: 2020-07-06

  Online published: 2021-03-23

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.

本文引用格式

何玉吉, 汪金芝, 梁卓凡, 李青峰 . 弹簧摆动力学行为演示仪[J]. 大学物理, 2021 , 40(3) : 62 -65 . DOI: 10.16854 /j.cnki.1000-0712.200224

Abstract

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 visu- alize the motion

track and time sequence diagram The trajectory drawn by the software is in good agreement with the

theoretical results.

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