空间任意力系4、5、6力矩平衡方程式的最简形式

The Simplest Forms of Four,Five and Six Moment Equilibrium Equations in Three Dimensional Force Systems

本文在所有可能的4、5、6力矩式中分别给出了最简形式,结果简洁、规律性强,证法力学意义明显。本文提出了限制条件矩阵,该矩阵可作为判别所选投影轴、矩轴是否独立可用的统一判据,适用于计算机。根据限制条件矩阵最简的原则分别证明了所给4、5、6力矩式确为最简形式。

The simplest forms of all possible four,five and six moment equilibrium equations are derived in this paper.The results are succinct and good in regularity.The proof process possesses an obvious significance in mechanics.The restrictive condition matrix is also presented,which can be a general criteria to judge the suitability of the projection axes and the axes of moment selected.The cri- teria can be used in all computers.The four,five and six moment equilibrium equations are proved re- spectively to be really the simplest form according to the principle that the restrictive condition matrix is the simplest form.