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本文采用改进的对偶规划法对钢管混凝土拱结构进行优化设计。将隐式性态约束作了显式处理 ;从能量原理出发 ,利用单元刚度矩阵元素的物理意义推导位移、内力敏度 ;综合运用变量轮换法、弦截法等优化方法求解对偶规划 ,并进行结构重分析以适应由形状改变引起的内力调整 ,从而获得最优解。本方法具有简便、实用等特点 ,特别适用于大型复杂结构 (多变量 )优化设计。
In this paper, an improved duality planning method is used to optimize the CFST arch structure. Based on the energy principle, the displacement and internal force sensitivity are deduced by using the physical meaning of the elements of the element stiffness matrix. The optimization method such as variable rotation method and chord-cut method is used to solve the duality plan. Structural reanalysis to accommodate internal forces caused by changes in shape adjustment, in order to obtain the optimal solution. The method is simple, practical and other characteristics, especially suitable for large complex structures (multivariable) optimization design.