基于分析力学的方位径向摆运动特性研究  

CHARACTERISTICS OF AZIMUTHAL-RADIAL PENDULUM MOTION BASED ON ANALYTICAL MECHANICS

作　　者：李佳迅 邓邦林[1] 胡志刚 苏开齐 朱昨磊 郑琳丽 LI Jiaxun;DENG Banglin;HU Zhigang;SU Kaiqi;ZHU Zuolei;ZHENG Linli(College of Geophysics,Chengdu University of Technology,Chengdu 610059,China)

机构地区：[1]成都理工大学地球物理学院

出　　处：《力学与实践》2019年第5期534-542,共9页Mechanics in Engineering

基　　金：成都理工大学科研骨干教师培养计划(10912-2019KYGG01511)和成都理工大学科研创新团队项目(10912-KYTD201704)资助

摘　　要：方位径向摆的研究对机械工程领域有非常重要的用途,基于此,本文采用分析力学的方法对影响方位径向摆运行轨迹的因素进行了理论和实验研究。理论上通过建立拉格朗日函数,得到此系统的运动微分方程并对方程进行数值求解,实验上通过Tracker软件追踪得到方位径向摆的实际运动轨迹,最终发现理论分析得到的杆长、绳长及其初始位置等参数对方位径向摆运行轨迹的影响与实验结果吻合较好。The study of the azimuthal-radial pendulum is useful in the application of the mechanical engineering.This paper presents theoretical and experimental studies of the factors that affect the azimuthal-radial pendulum trajectory.The differential equations of the system are obtained and solved by the numerical method after establishing the Lagrangian function.On the other side,the actual motion trajectory of the azimuthal-radial pendulum is obtained by the software Tracker.The influences of the length of the rod and the rope as well as the initial position of the azimuthal-radial pendulum trajectory are revealed,and it is found that the theoretical results are in good agreement with the experimental results.

关 键 词：方位径向摆 分析力学 拉格朗日方程 

分 类 号：O325[理学—一般力学与力学基础]