刚体的平衡理论问题

THE THEORETICAL PROBLEM OF RIGID BODY EQUILIBRIUM

本文首先阐明力系主矢=∑_1=0和力系主矩=∑_i=0是刚体静止平衡的必要充分条件,但这一条件却不完全适合于转动平衡情况。然后,用欧勒动力学方程推导出刚体角加速度和力系主矩同时取零的条件。在此基础上,给出普遢适用的刚体平衡定义和平衡条件。

First the principal vector of a force System R= =0 and the principal momet of a fore System ==0 are explained in this paper,which is a necessary and a suffici- ent condition of the equilibrium of rigid body,but the condi- tion is unidealy applicable to the case of the rotation equilib- rium. However,the angular accelration of a rigid body derived from Euler's Kinetics equation is condition along with the principal moment of force System. On the basis of that,it gives a generaly appicable definion about the rigid body equilibrium and the equilibrim condition.