基于转动惯量的刚体9个惯性参数的测量

针对三维空间,提出了一种可以同时测量刚体9个惯性参数的新方法。利用气体静压轴承低速自由转动时其角速度是一个随时间衰减的单指数函数这一运动规律,测量物体绕任意轴的转动惯量,通过9次测量最终求出刚体的9个惯性参数。设计了一套物体惯性参数测量仪,该测量仪可以同时测量三维空间中物体的9个惯性参数。测量过程中无需重新装配,减少了中间测试量及人为干预误差,使测量时间缩短,测量精度提高。

The Measurement of Nine Inertial Parameters of Rigid BodyBased on the Moment of Inertia

For three-dimensional space, a new method which can measure the nine inertial parameters of a rigid body simultaneously is proposed.With the law of motion that when aerostatic bearing move slowly its angular velocity is a single exponential function decayed with time, the moment of inertia of the rigid body rotating a axis in an arbitrary direction is obtained. through nine measurements, the inertial parameters of a rigid body can be got finally. A set of instrument used for measuring the rigid body inertial parameters is designed. This instrument can measure the nine inertial parameters of a rigid body in three-dimensional space simultaneously. There’s no need to re-assembly in the process of measurement, so intermediate testing quantity, error made by human and measuring time are all reduced.