框架结构安定性分析(Ⅰ)——基本定理及简化

STUDY OF SHAKEDOWN ANALYSIS OF FRAME STRUCTURES (Ⅰ) ——Basic Theorems and its Simplifying

研究了结构安定分析的上、下限定理及变化荷载区域问题 ,提出了考察结构安定与否无需研究荷载全域 ,只要对载荷域的凸包 C0 (Ω )的边界点或顶点进行分析即可得出结论。

Upper and lower bound theorem and varying load domain problems were dealt with. The results show that there is no need to study all load domain in order to inspect whether a structure shakedown or non shakedown, the only thing need to do is to analyze boundary points and peak points of conves plane C 0(Ω) of load domain.