| 三线摆的运动方程、周期及角位置概率分布 |
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| 引用本文： | 吴明珏,王顺宇,李俊,夏雪连,章礼华.三线摆的运动方程、周期及角位置概率分布[J].大学物理,2021,40(4):64-67. |
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| 作者姓名： | 吴明珏 王顺宇 李俊 夏雪连 章礼华 |
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| 作者单位： | 安庆师范大学数理学院,安徽安庆 246133 |
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| 基金项目： | 安徽省高等学校省级质量工程项目(2018zygc062,2020jyxm1080,2020szsfkc0548);2019年安徽省大学生创新创业教育训练计划项目(aqsfdx144,aqsfdx142);安庆师范大学质量工程项目(2019aqnujyxm20)资助。 |
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| 摘 要： | 基于保守系统拉格朗日方程给出三线摆在大摆角运动时的微分方程,以及小摆角线性振动近似处理方法,在考虑三线摆的结构尺寸取相应近似条件下,讨论了三线摆在大摆角和小摆角两种不同情况下的运动微分方程、周期及角位置概率密度分布情况及其在实验中的应用.
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| 关 键 词： | 三线摆 摆角 周期 角位置概率密度 |
The motion equation,period and position probability distribution of three-line pendulum |
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| WU Ming-jue,WANG Shun-yu,LI Jun,XIA Xue-lian,ZHANG Li-hua.The motion equation,period and position probability distribution of three-line pendulum[J].College Physics,2021,40(4):64-67. |
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| Authors: | WU Ming-jue WANG Shun-yu LI Jun XIA Xue-lian ZHANG Li-hua |
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| Institution: | (College of Mathematics and Physics,Anqing Normal University,Anqing,Anhui 246133 China) |
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| Abstract: | In this paper,based on the Lagrange equation of conservative system,the differential equation of three-line pendulum in large swing angle motion and the approximate treatment method of linear vibration with small swing angle are given.Under the approximate condition about the structural dimensions of the three-line pendulum,the motion differential equation,period and position probability density distribution of the three-line pendulum under two different conditions of large swing angle and small swing angle are discussed. |
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| Keywords: | three-line pendulum swing angle period position probability density distribution |
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