连续变形体定点转动实例的计算机解

连续变形体定点转动问题广泛地用于体育力学及空间飞行器力学中,它是刚体定点转动问題的延拓,本文从角动量定理的一般形式导出连续变形体定点转动的一般解析表达式。这一表达式未曾见于一般力学文献中。可以看出,这是一组变系数的非线性方程组。应用电子计算机可以方便地求得给定条件下这组方程的数值解和运动的图形表示。文中通过两个实例说明这组方程的某些应用。

THE ROTATION ABOUT A FIXED POINT OF THE DEFORMABLE BODY AND ITS NUMERICAL SOLUTION

The rotation about a fixed point of the deformable body has been attented in the area of gymnastics and spacecrafts nowadys. It is the extension of the Rotation about a fixed point of the rigid body. In this paper first order differential equitions are derived from the genaral low of angular momentum, and the numerical solution and some graphic expressions of the motion are conveniently obtained with the help of the microcomputer. Two examples are used to expeain how the numerical methods are applicatod.