刚体转动惯量计算方法研究

Research on the calculation method of moment of inertia of rigid body

转动惯量是量度刚体转动惯性大小的物理量,类似于牛顿力学中的惯性质量,但比起质量来说,转动惯量并不是那么易于计算和测量。从刚体转动惯量的定义入手,通过几种简单形状刚体的转动惯量计算,来加深对定积分数学知识的理解。

Moment of inertia is an important concept in rigid body dynamics,which is similar to the inertia mass in the rotating process. It is similar to the inertia mass in Newtonian mechanics. But compared with the mass,inertia is not easy to calculate and measure. Starting with the definition of rigid body’s moment of inertia,this paper calculates the moment of inertia of rigid body with several simple shapes to deepen understanding of definite integral mathematics.