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提出应用连续体结构拓扑优化ICM法对高层建筑大型支撑体系进行拓扑优化。针对高层建筑规范对结构刚度限值是以层间相对位移差形式给出、并结合结构拓扑优化特点,推导了相对位移差敏度分析的伴随法公式,有效提高了计算效率。应用ICM法建立位移约束下结构重量极小化的优化模型,与高层建筑规范对结构刚度限值要求的提法更符合,得到的最优拓扑完全满足规范要求。所提方法应用在概念设计阶段,提供了一种自动化的分析计算及优化设计工具,可以有效地弥补基于经验设计的不足。
The topological optimization of large-scale support system in high-rise building is proposed by applying ICM method of continuum structure topology. For the tall building code, the stiffness limit of the structure is given in the form of relative displacement between layers. Based on the topological optimization of structure, the adjoint formula of relative displacement difference sensitivity analysis is deduced, which effectively improves the computational efficiency. The ICM method is used to establish the optimization model of minimizing the structural weight under the constraint of displacement, which is more in line with the formulation of high-rise building code to the requirement of structural rigidity limit. The optimal topology obtained completely meets the requirements of the code. The proposed method is applied in the conceptual design stage and provides an automated analytical calculation and optimization design tool that can effectively make up for the deficiency based on empirical design.