均质旋转面绕旋转轴转动的转动惯量的数值计算

Numerical Calculation of Rotational Inertias of Uniform Rotational Rigid Surfaces About the Around Axis

根据文献中任意形状均质旋转面对旋转轴的转动惯量的计算公式,用Mathematica编程对花瓶形面等刚体的转动惯量进行了数值计算,并拟合出其多项式表达式,从而可快速计算出鼓形面和花瓶形面等旋转刚体的转动惯量。

According to the calculation formula of rotational inertia, the rotational inertia of such uni- form rotational rigid surfaces around the rotation axis as drum-shaped and vase-shaped rigid surfaces is com- puted in this paper by using Mathematica, and its polynomial expression is obtained by fitting experimental data,so that the rigid body＇s rotational inertia can be quickly accessed.