扭转陀螺的动力学研究  

作　　者：张雷明[1] 寻之朋[2] 张伟[2] 

机构地区：[1]中国矿业大学徐海学院,江苏徐州221008 [2]中国矿业大学材料与物理学院,江苏徐州221116

出　　处：《科技创新与应用》2021年第23期25-28,共4页Technology Innovation and Application

基　　金：国家自然科学基金青年基金项目(编号:11604381);中国矿业大学徐海学院首批课程思政教学改革研究课题(编号:YA1912)。

摘　　要：文章利用拉格朗日方程从理论上分析了扭转陀螺的运动过程,建立了进动角的变化关系。设计制作了扭转陀螺的实验装置,对扭转陀螺动力学性质进行了实验研究。实验结果和理论分析的结果是一致的,得出扭转陀螺进动角的变化快慢与轮子转速成反比、与轮子半径平方成反比以及与绳子悬点到轴的距离成正比。The motion process of the torsional gyroscope is analyzed theoretically using the Lagrange equation,and the variation relation of the precession angle is established.The experimental device of the torsion gyro is designed and made,and the dynamic properties of the torsional gyroscope are studied experimentally.The experimental results are consistent with the results of theoretical analysis,and it is concluded that the change of the precession angle of the torsion gyro is inversely proportional to the rotational speed of the wheel,inversely proportional to the square of the radius of the wheel and directly proportional to the distance from the suspension point of the rope to the axis.

关 键 词：扭转陀螺 拉格朗日方程 进动角 

分 类 号：O4-33[理学—物理]