Topology optimization of strut-and-tie models in non-flexural reinforced concrete members
Topology optimization of strut-and-tie models in non-flexural reinforced concrete members
复制标题
非弯曲钢筋混凝土构件中拉杆模型的拓扑优化
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
L. C. Schmidt
中科院分区：
文献类型：
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作者：
Q. Liang;Y. Xie;G. Steven;L. C. Schmidt
采用位移约束平面应力连续体结构的渐进结构优化方法，对钢筋混凝土非受弯构件拉压杆模型进行拓扑优化。通过从离散化的混凝土构件中系统地去除对刚度贡献较小的单元，构件内的实际荷载路径逐渐由剩余单元表征。基于结构重量最小化的优化准则，在约束位移在可接受范围内的情况下，根据性能指标历史确定拉压杆模型的最优拓扑结构。通过两个算例说明了本文方法在自动求解带腹板开洞和托臂的钢筋混凝土深梁的实际荷载路径方面的有效性。研究表明，ESO方法和性能指标能够生成可靠的最优拉压杆模型，这些模型得到了解析解和实验证据的支持，可以用于实践，特别是在没有经验的复杂结构设计中。
This paper deals with the topology optimization of strut-and-tie models in non-flexural reinforced concrete members by using the Evolutionary Structural Optimization (ESO) method for plane stress continuum structures with displacement constraints. By means of systematically removing elements that have less contribution to the stiffness from the discritized concrete member, the actual load paths within the member are gradually characterized by the remaining elements. The optimal topology of the strut-and-tie model is determined from the performance index history based on the optimization criterion of minimizing the weight of the structure while the constrained displacement is within an acceptable limit. Two examples are provided to illustrate the effectiveness of the present procedure in automatically finding the actual load paths in a reinforced concrete deep beam with web openings and a corbel. It is demonstrated that the ESO method and the performance index are capable in generating reliable optimal strut-and-tie models that are supported by analytical solutions and experimental evidence, and can be used in practice especially in the design of complex structures where no previous experience is available.