扭转陀螺的运动研究

Research on torsion gyroscope

运用欧拉动力学方程分析了扭转陀螺的力学特性,从理论上预测了陀螺释放后250s内的运动情况,实验研究了陀螺的定轴性和进动性对陀螺运动的影响.实验结果表明:在初始扭转力矩变大时,进动角与章动角的角速度与角度峰值都会变大,但变化周期几乎不变.

The mechanical properties of torsion gyroscope were analyzed by using Euler equations.The motion within the first 250 safter the release was predicted theoretically.The influence of the gyroscope＇s stable spin axis and precession on the gyroscope＇s motion was studied experimentally.It was pointed out that the angular velocity and peak value of the precession angle and the nutation angle became larger for a larger initial torsion torque,but the period was almost unchanged.