实时测算阻尼比研究转动惯量

以``长摆线三线摆'为物理动力学模型, 采用拉格朗日第二类方程研究阻尼对工件 转动惯量测量的影响, 针对``振幅测量法'中很难测准摆幅幅值等实际问题,提出 一种``等弧--时间比法', 即通过计算悬盘在不同周期内、在相同位 置摆过相等圆弧所用时间比来计算系统阻尼比$\zeta$的方法, 提高外形尺寸较大 工件的转动惯量测量精度.

REAL-TIME COMPUTATION OF MOMENT OF INERTIA AND DAMPING RATIO

In this paper, taking the prolate cycloid-three-wire as a model of physical dynamics, we consider the damping's influence on computation of workpiece's moment of inertia by using the second kind Lagrange's equation. It is difficult to calculate the value of amplitude of swing accurately by the amplitude measuring method. So, an equal arc length- time ratio method is proposed to improve the precision for a workpiece of large size. The damping ratio $\zeta $ is obtained by calculating the time ratio of hanging dish which swings beyond the equal arc length in the same location with different periods.