匀质半旋转面绕旋转轴转动的面积矩的数值计算

Numerical Calculation on area Moment of Uniform Half Rotational Rigid Surfaces about the Around Axis

讨论了鼓形面和花瓶形面特殊形状匀质半旋转面对旋转轴的面积矩．用Mathematica编程对这两类刚体的面积矩进行了数值计算，并拟合出了其多项式表达式，从而可快速计算出这一类旋转刚体的面积矩．

According to the definition of area moment,the area moment of uniform half rotational rigid surfaces about the around axis are obtained,and the area moment of some special uniform rigid surfaces such as the half drum surfaces and the half vase surfaces are discussed in this paper as special examples. Programming with Mathematica on the two special surfaces： the drum surfaces and the vase surfaces, the two types of area moment of the half rigid body are calculated, and the fitting of the corresponding two special type area moment of the polynomial expression, which can quickly calculate the rigid body＇s area moment.