张鹄志 徐文韬 蒋滇 吕伟荣 易伟建

摘 要：運用拓扑优化辅助完成工程设计是近年的一种新方法。利用钢筋分离模型GBESO获取基于应力均匀化分布的最优钢筋拓扑，为解决钢筋混凝土深梁等二维构件的工程配筋设计难题提供新思路。分别参照该优化算法的解和按中国规范推荐的深受弯构件经验设计方法完成了一组钢筋混凝土简支深梁配筋设计，并进行静力对比试验。结果表明：钢筋分离模型GBESO设计的构件钢筋消耗量较低，极限承载能力较高，裂缝开展能力较强，且在破坏过程中表现出更佳的耗能能力，由此证明以斜钢筋补强斜截面的配筋设计方式更符合构件的受力机理和特性。钢筋分离模型GBESO在深梁配筋设计方面的能力得到一定的验证。

关键词：钢筋混凝土;深梁;配筋设计;拓扑优化;结构优化设计;静力试验

中图分类号：TU375.1   文献标志码：A   文章编号：2096-6717（2020）04-0091-08

收稿日期：2020-02-17

基金项目：国家自然科学基金（51508182）;湖南省教育厅科学研究优秀青年项目（18B207）

作者简介：张鹄志（1984- ），男，博士，副教授，主要从事混凝土结构设计基本理论与结构优化设计研究，E-mail： zhanghz_hnu@163.com。

Received：2020-02-17

Foundation items：National Natural Science Foundation of China （No.51508182）; Excellent Youth Foundation of Hunan Educational Committee （No.18B207）

Author brief：ZHANG Huzhi （1984- ）， PhD， associate professor， main research interests： concrete structure theory and structural optimization design， E-mail： zhanghz_hnu@163.com.

Experimental study on topology optimization design method for simply supported reinforced concrete deep beams

ZHANG Huzhi 1， XU Wentao 1， JIANG Dian 1， LV Weirong 1， YI Weijian 2

（1. School of Civil Engineering; Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control， Hunan University of Science and Technology， Xiangtan 411201， Hunan， P. R. China; 2. College of Civil Engineering， Hunan University， Changsha 410082， P. R. China）

Abstract： The use of topology optimization to assist in the completion of engineering design is a new method in recent years. The paper adopts the genetic bi-directional evolutionary structural optimization （GBESO） discrete model to obtain the optimal reinforcement topology based on the uniform stress distribution， which provides a new idea for solving the engineering reinforcement design problems of reinforced concrete deep beams and other two-dimensional components. With reference to the solution of the optimization algorithm and the empirical design method of deeply flexural members recommended by the Chinese code， a group of reinforced concrete simple-supported deep beam reinforcement designs have been completed and static comparison experiments were carried out. Results show that the component designed by GBESO has lower steel bars consumption， higher ultimate bearing capacity， stronger crack development capacity， and better energy dissipation capacity during the failure process. It proves that the reinforcement design method of the oblique section reinforced with oblique steel bars is more in line with the force mechanism and characteristics of the members. Ability of the GBESO discrete model in the design of deep beam reinforcement has been verified to a certain extent.

Keywords：reinforced concrete; deep beams; reinforcement layout design; topology optimization; structural optimization design; static test

现代建筑在使用中承受的荷载工况越来越复杂，作为主要承重和受弯构件的钢筋混凝土深梁得到日益广泛的工程应用。关于深梁的设计，包括中国现行规范GB 50010—2010[1]在内的多国规范都推荐参考杆系结构设计方法再修正的经验设计方法，但实际上深梁受弯截面正应变呈非线性分布，这种基于平截面假定的设计方法已明显不合理。……