用广义柱面坐标变换计算椭圆柱体绕对称轴转动的转动惯量

The rotary inertia of the elliptic cylinder rotating around its symmetry axle is calculated by using the extensive cylinderical coordinate transformation

刚体的转动惯量是机械设计和工程技术中需要知道的一个重要物理量,计算或测量一些特殊刚体转动惯量是一个难点问题,用直角坐标法和广义柱面坐标变换2种方法对椭圆柱体绕对称轴转动的转动惯量进行计算.结果表明,后一种方法计算简单、实用,在工程技术中有应用价值.

The rotary inertia of a rigid body is an important physics in machine device and engineering technique.It is a difficult problem that the rotary inertia of some special rigid bodys are calculated or measured.The rotary inertia of an elliptic cylinder rotating around its symmetry axle is calculated by using the rectangular coordinate system and the extensive cylinderical coordinate transformation.It is indicated that the second method is simple and practical in engineering calculation.