静力平衡方程的独立性

The Independence of Static Equilibrium Equations

采用线性代数的理论证明了空间任意力系平衡方程的独立性及空间任意力系平衡方程的其他形式的存在性,并说明了当空间任意力系中的未知力系是更为特殊的力系时,独立的静力平衡方程个数将减少,即力系的独立的平衡方程的数目决定于未知力系的性质。

This article apples the theory of linear algebra to prove the independence of static equilibrium equations and the existence of other types of equilibrium equations for spatial arbitrary force system, and demonstrates the fact that the sum of independent equilibrium equations of the spatial arbitrary force system will be reduced while the unknown force system in the spatial arbitrary force system is a particular one, that is to say, the sum of independent equilibrium equations of the spatial arbitrary force system is determined by the property of the unknown force system in the spatial arbitrary force system.