基于渐进演化类拓扑优化的PC小箱梁预应力钢束设计  

Design of prestressed tendons in prestressed concrete small box girder based on topology optimization of asymptotic evolutionary algorithms

作　　者：张鹄志 刘学虎 温青 刘鑫 ZHANG Huzhi;LIU Xuehu;WEN Qing;LIU Xin(School of Civil Engineering,Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control,Hunan University of Science and Technology,Xiangtan 411201,China;Sinohydro Bureau 11 Co.,Ltd.,Zhengzhou 450001,China)

机构地区：[1]湖南科技大学土木工程学院结构抗风与振动控制湖南省重点实验室,湖南湘潭411201 [2]中国水利水电第十一工程局有限公司,河南郑州450001

出　　处：《武汉大学学报（工学版）》2022年第11期1135-1140,共6页Engineering Journal of Wuhan University

基　　金：湖南省自然科学基金面上项目(编号:2021JJ30270);国家自然科学基金青年基金项目(编号:51508182)。

摘　　要：渐进演化类拓扑优化方法在预应力混凝土小箱梁的预应力钢束优化设计中具有广阔的应用前景。以1片30 m简支预应力混凝土小箱梁为对象,借助ANSYS有限元平台开展了基于渐进演化类拓扑优化的预应力钢束设计,首先对结构进行实际设计工况下的二维及三维拓扑优化,两者得到的最优拓扑结构基本类似;然后根据二维最优拓扑结构构建组合模型并进行模型分析,按照组合模型的受力特性优化布置箱梁的预应力钢束。与传统设计方法的对比结果表明:在正常使用极限状态下,经优化后的箱梁满足各应力验算要求,跨中部位上缘压应力增加14.2%,下缘拉应力减少13.8%,有效预防了箱梁下缘裂缝的产生,并降低了跨中挠度。The evolutionary topology optimization method has a wide application prospect in the optimization design of prestressed tendons for prestressed concrete small box girder.Taking a 30 m simply supported prestressed concrete small box girder as the object,the design of prestressed tendons based on asymptotic evolutionary topology optimization is carried out in the finite element analysis platform of ANSYS.Firstly,the two-dimensional and three-dimensional topology optimizations of the structure under the actual design condition are carried out.The optimal topology structures obtained by the two methods are basically similar.Then,a combined model is constructed according to the two-dimensional optimal topology structure and the model analysis is carried out.Finally,the prestressed tendons of the box girder are optimized and arranged according to the mechanical characteristics of the combined model.By comparison with traditional design methods,the results show that the optimized box girder meets various stress checking requirements under the normal limit state.The upper edge compressive stress increases by 14.1%and the lower edge tensile stress decreases by 13.8%in midspan,which can effectively prevent the occurrence of cracks at the lower edge of the box girder and reduce the mid-span deflection.

关 键 词：预应力混凝土小箱梁 拓扑优化 渐进演化类算法 预应力钢束设计 结构优化设计 

分 类 号：U448.2[建筑科学—桥梁与隧道工程]