方位径向摆的理论与实验研究

doi:10.14139/j.cnki.cn22-1228.2020.01.001

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摘要

通过拉格朗日力学对方位径向摆进行建模分析?列出系统的拉氏函数?并考虑空气阻力的影响?通过数值计算得到方位径向摆的理论轨迹? 自行搭建实验装置?通过控制变量的方法探究了摆锤的质量、释放的方位角度和释放的径向角度对方位方向最大振幅的影响?实验结果与数值计算结果符合较好?进一步证明理论的正确性。

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	吴明
	曾红
	张文鹏
	张原维
	代珍兵

关键词: 方位径向摆耦合振荡拉格朗日力学

Abstract:

We have established a model for the analysis of azimuthal-radial pendulum by Lagrangian mechanics. We list the I agrangian function of the system and consider the influence of air resistance. The theoretical trajectory of the azimuth-radial pendulum is obtained by numerical simulation.The influence of the weight' s mass , the releasing azimuth angle and the releasing radial angle on the maximum displacement in the direction of azimuth was investigated by using the method of controlling variables.The experimental results were in good agreement with the numerical simulation results , which further proved the correctness of our theory.

Key words: azimuth-radial pendulum the coupling oscillation Lagrangian mechanics

出版日期: 2020-02-25 发布日期: 2020-02-25 整期出版日期: 2020-02-25

ZTFLH:

O 313

引用本文:

吴明, 曾红, 张文鹏, 张原维, 代珍兵. 方位径向摆的理论与实验研究 [J]. 大学物理实验, 2020, 33(1): 1-6.
WU Ming, ZENG Hong, ZHANG Wenpeng, ZHANG Yuanwei, DAI Zhenbing. Theoretical and Experimental Research of A zimuthal-Radial Pendulum . Physical Experiment of College, 2020, 33(1): 1-6.

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http://dawushiyan.jlict.edu.cn/CN/10.14139/j.cnki.cn22-1228.2020.01.001 或 http://dawushiyan.jlict.edu.cn/CN/Y2020/V33/I1/1

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