不同位移边界条件下钢筋混凝土深梁拓扑优化  

Topology optimization for reinforced concrete deep beam with different displacement boundaries

作　　者：张鹄志[1,2] 马哲霖 黄海林 金浩[1] 彭玮 ZHANG Hu-zhi;MA Zhe-lin;HUANG Hai-lin;JIN Hao;PENG Wei(School of Civil Engineering,Hunan University of Science and Technology,Xiangtan 411201,China;Hunan Provincial Key Laboratory of Structures forWind Resistance and Vibration Control,Hunan University of Science and Technology,Xiangtan 411201,China)

机构地区：[1]湖南科技大学土木工程学院,湖南湘潭411201 [2]湖南科技大学结构抗风与振动控制湖南省重点实验室,湖南湘潭411201

出　　处：《工程设计学报》2019年第6期691-699,共9页Chinese Journal of Engineering Design

基　　金：国家自然科学基金青年基金资助项目(51508182);湖南省大学生研究性学习和创新性实验计划项目(201712649001)

摘　　要：为了探讨位移边界条件对钢筋混凝土深梁拓扑优化的影响,同时为深梁设计提供有效的力学理论依据,以ANSYS有限元分析软件为平台,利用其参数化设计语言的二次开发功能,并借助具有直观高效拓扑寻优能力的渐进演化类算法,分别对4根支座约束条件不同的双侧开洞深梁、4根开洞情形不同的两端固定铰支深梁以及3根支座约束与开洞情形均有一定差别的连续深梁进行拓扑优化,并对不同拓扑解进行对比分析。结果表明:集中力作用下深梁的拓扑解均近似为杆系结构,提高支座约束程度可以使传力路径增加,传力方式更直接;当深梁因工程原因或功能需求而不得不设置洞口时,洞口位置离原传力路径越远则越有利于结构内部的传力;连续深梁与单跨深梁的拓扑解的主要差别体现在中支座处的梁顶拉杆上,这些拉杆能够提高结构的整体刚度。因此,在工程设计中,针对不同位移边界条件下的钢筋混凝土深梁,可以根据它们拓扑解的差异以及造成这些差异的力学机理,采取不同的设计方案,包括支座约束、开洞情形以及配筋方式等的选取。研究结果可为深梁这类复杂受力构件的设计提供力学理论依据。In order to discuss the influence of displacement boundary conditions on the topology optimization for reinforced concrete deep beams, and provide more effective mechanical theoretical basis for the design of deep beams, four reinforced concrete deep beams with openings in both side and different bearing constraints, four reinforced concrete deep beams with pin supports at both ends and different opening conditions and three continuous deep beams with different bearing constraints and opening conditions were separately topological optimized and the different topological solutions were compared, which was based on the secondary development of parametric design languages in the finite elements analysis software of ANSYS and the evolutionary topology optimization algorithm with intuitive and effective ability of topological evolution. The results indicated that the topological solutions of deep beams applied concentrated force were approximate to truss structures. The raising in degree of bearing constraint might increase the load-transfer path and make the load-transfer more direct. When the deep beam had to be set up openings for engineering reasons or function requirements,the farther the location of the opening from the original force transmission path, the more favorable the internal force transmission of the structure. The key distinction of topological solutions of continuous deep beams and single-span ones was embodied by the tie-bar in the top of the beam at the middle support, since the tie-bar could improve the integral stiffness of structures. Therefore, in the engineering design, for the reinforced concrete deep beams with different displacement boundaries, different design schemes can be adopted according to the differences of their topological solutions and the corresponding mechanisms that cause these differences, including support constraints, opening conditions and reinforcement methods. Research results can provide mechanical theoretical basis for the design of complex stressed members such as dee

关 键 词：钢筋混凝土深梁 位移边界 拓扑优化 约束条件 开洞情形 

分 类 号：TU375.5[建筑科学—结构工程] TU223