机载环境下组合设备转动惯量和惯性积计算方法

Method for Calculating Moments and Products of Inertia of Large Assembly Under Airborne Circumstance

在机载环境下,由多个设备组合而成的大型组合设备的转动惯量和惯性积测量困难。比较简单的方法是得到其中每个设备的转动惯量和惯性积后,利用公式计算得出组合设备的转动惯量和惯性积。对设备旋转和平移时惯性张量的转换矩阵进行了完善和推导,使其适应机载三维环境。此外,对几个特例进行了说明,为计算组合设备的转动惯量和惯性积提供了公式依据。

It is difficult to measure the moments and products of inertia of large assembly, which is consist of several parts, under airborne circumstance. The simple way is to calculate the moments and products of inertia of large assembly to obtain the moments and products of inertia of every part. Previous expressions of transformation matrix of matrix of inertia, under parallel moving and rotation moving, are extended to improve the compatibility with airborne circumstance. Furthermore, certain transformation matrices were developed under special cases. This paper provides equation basis for calculating moments and products of inertia of large assembly.