阻尼条件下的气垫摆测量转动惯量方法研究

Research on measuring moment of inertia with air cushion pendulum under damping condition

转动惯量是用来度量刚体转动惯性的一个重要属性,精确测量刚体的转动惯量对于分析刚体有着重要意义。本方法尝试考虑空气阻尼对气垫摆的影响。对无阻尼状态转动惯量的计算公式进行修正,运用自由衰减法计算空气阻尼比,进而计算刚体的转动惯量。与不考虑空气阻尼的测量值进行分析对比,此方法提高了测量精度,具有可行性。

mMoment of inertia is an important attribute used to measure rotational inertia of rigid body. Accurate measurement of moment of inertia of rigid body plays an important role in analyzing rigid body. This method attempts to consider the influence of air damping on it. The air damping ratio is calculated by the free attenuation method by modifying the formula of the moment of inertia in the undamped state. Then, the moment of inertia of rigid body is calculated and compared with the measured value without considering air damping. The method improves the measuring accuracy,and is feasible.