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根据索穹顶结构的柔性结构特点和力学特性,探索以质量最小、刚度最大和支座反力最小为目标函数,以预应力整体可行性准则、荷载态应力控制和位移限值为约束条件的多目标优化模型。结合自适应技术、预选择机制和共享函数小生境技术对传统遗传算法进行改进,利用加权系数法将多目标优化问题转换为单目标Pareto最优解问题。利用向量式有限元对不同预应力水平的结构进行静力分析。最后通过两个不同类型索穹顶算例,采用自编程序的计算结果证明所提出的方法是有效的,为索穹顶结构预应力优化分析提供了新的计算方法。
According to the flexible structure and mechanical characteristics of cable dome structure, the objective function of minimum mass, maximum stiffness and minimum reaction force are explored, and the general feasibility criterion of prestressing, load stress control and displacement limit are used as constraints Goal optimization model. The traditional genetic algorithm is improved by using adaptive technology, pre-selection mechanism and shared function niche technology. The weighted coefficient method is used to transform multi-objective optimization problem into single-objective Pareto optimal solution problem. Static finite element analysis of structures with different prestress levels by using vectorial finite element method. Finally, two examples of different types of cable domes are presented. The results of the self-programmed program prove that the proposed method is effective and provide a new calculation method for the optimization analysis of cable domes prestressed.