方位径向摆的简单物理图像SIMPLE PHYSICAL IMAGE OF AZIMUTH RADIAL PENDULUM
朱益辉,侯吉旋,陈乾,黎秋航
摘要(Abstract):
本文给出了2018年国际青年物理学家锦标赛(IYPT2018)中方位径向摆问题的简单物理图像。通过等效分析,方位径向摆可以等价于在两个相互垂直的方向上摆长不同的双线摆。因为在两个相互垂直的振动方向上的振动频率不同,使得摆球的轨迹呈现出李萨如图形。本文也通过实验演示了方位径向摆和双线摆的轨迹的一致性。
关键词(KeyWords): 方位径向摆;双线摆;李萨如图形
基金项目(Foundation): 东南大学教学改革研究与实践面上项目(2022-072);东南大学教学改革研究与实践青年资助项目(2022-029)
作者(Author): 朱益辉,侯吉旋,陈乾,黎秋航
参考文献(References):
- [1] FU X.Dynamic trajectory and parametric resonance in coupled pendulum-beam system[J].American Journal of Physics,2020,88(8):625-639.
- [2] JIA Q,LUO Y,ZHOU H,et al.Nonlinear coupling in an asymmetric pendulum[J].American Journal of Physics,2022,90(8):594-603.
- [3] 刘宗尧.对轴向径向摆现象的探究[J].技术应用,2018,25(12):170.LIU Z R.Exploration of axial radial swing phenomenon[J].technology and market,2018,25(12):170.(in Chinese)
- [4] 李佳迅,邓邦林,胡志刚,等.基于分析力学的方位径向摆运动特性研究[J].力学与实践,2019,41(5):534-542.LI J X,DENG B L,HU Z G,et al.Characteristics of azimuthal-radial pendulum motion based on analytical mechanics[J].Mechanics in Engineering,2019,41(5):534-542.(in Chinese)
- [5] 吴明,曾红,张文鹏,等.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 M,ZENG H,ZHANG W P,et al.Theoretical and experimental research of azimuthal-radial pendulum[J].Physical Experiment of College,2020,33(1):1-6.(in Chinese)
- [6] 陈宗强,王远,余华.径向摆的运动状态及其混沌状态的研究[J].物理与工程,2019,29(6):52-57.CHEN Z Q,WANG Y,YU H.Research on the motion state and chcaotic state of radial pendulum[J].Physics and Engineering,2019,29(6):52-57.(in Chinese)
- [7] 姚盛伟,徐平,Jacques TABUTEAU.耦合摆特性模拟及振动耦合现象演示[J].大学物理,2012,31(4):28-32.YAO S W,XU P,TABUTEAU J.Simulation of the characteristics of coupled pendulum with mutual inductance[J].College Physics,2012,31(4):28-32.(in Chinese)
- [8] 邓欣雨,张天宇,陆建隆,等.威尔伯福斯摆的耦合运动研究[J].大学物理,2022,41(9):43-50,68.DENG X Y,ZHANG T Y,LU J L,et al.Research on the coupled vibrations of Wilberforce pendulum[J].College Physics,2022,41(9):43-50,68.(in Chinese)
- [9] 何玉吉,汪金芝,梁卓凡,等.弹簧摆动力学行为演示仪[J].大学物理,2021,40(3):62-65.HU Y J,WANG J Z,LIANG Z F,et al.Dynamic behavior demonstrator of spring pendulum[J].College Physics,2021,40(3):62-65.(in Chinese)
- [10] ZHAO S,WAN J,WANG L.Motion analysis of and experimental research on a magnetic and elastic coupling oscillation system[J].Heliyon,2024,10:e34642.