基于可移动变形组件拓扑优化方法的梁柱节点拉压杆模型研究  

Research on Strut-and-Tie Models of Beam-Column Connections by Topology Optimization based on Moving Morphable Components

作　　者：乔文正 陈国荣[1] 路国运[3] QIAO Wenzheng;CHEN Guorong;LU Guoyun(College of Mechanics and Materials,Hohai University,Nanjing 211100,China;Department of Architecture,Lyuliang University,Lyuliang 033000,China;College of Civil Engineering,Taiyuan University of Technology,Taiyuan 030024,China)

机构地区：[1]河海大学力学与材料学院,南京211100 [2]吕梁学院建筑系,山西吕梁033000 [3]太原理工大学土木工程学院,太原030024

出　　处：《太原理工大学学报》2021年第3期444-449,共6页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金面上项目(11372209);山西省自然科学基金(201901D11089)。

摘　　要：梁柱节点的拉压杆模型研究具有重要的理论研究意义和实际应用价值。采用可移动变形组件显式拓扑优化方法对拉压杆模型进行分析,克服了传统隐式拓扑优化方法的缺点。该方法将拉压杆模型问题转换为求解体积约束下柔度最小的优化问题。通过一组可移动、变形、交叉和重叠的组件来自动形成最优拓扑,进而获取可靠的拉压杆模型。通过三种不同荷载作用下梁柱节点的算例,分析了单荷载和多荷载工况下的拉压杆模型,证明了这一方法的可行性、有效性和高效性。It is of great theoretical and practical significance to study the strut-and-tie models of beam-column connections.In this paper,an explicit topology optimization based on moving morphable components was used to analyze the strut-and-tie models,which overcomes the shortcomings of traditional implicit topology optimization.In this method,the problem of generating a suitable strut-and-tie model is transformed into an optimization problem with minimum compliance under volume constraints.The optimal topology is automatically generated by a set of components that can move,morph,intersect,and overlap,and then the reliable strut-and-tie models are formed.Through three examples of beam-column connections under three load conditions,the strut-and-tie models under single and multiple load cases were analyzed,and the feasibility,validity,and high efficiency of this method were verified.

关 键 词：拉压杆模型 梁柱节点 可移动变形组件 拓扑优化 

分 类 号：TU375[建筑科学—结构工程]