连续深梁优化设计

发布时间：2018-06-12 03:17

本文选题：连续深梁 + GESO算法　；参考：《湖南大学》2015年硕士论文

【摘要】：随着高层建筑功能的多样化,连续深梁的应用逐渐广泛。目前,我国《混凝土结构设计规范》(GB50010-2010)虽然给出连续深梁应采用二维弹性分析求得的内力进行设计的原则,但缺乏明确的计算模型和可靠的承载力计算公式,使得实际工程中连续深配筋设计的经济性及安全性都有待商榷。拉-压杆模型由于能真实反应深梁的传力机制,设计思路清楚,已被多国规范采纳,成为复杂受力构件的推荐设计方法。但是,如何得到合理的符合工程实际的拉-压杆模型,仍然是工程设计研究工作中的一个重大难题。刘霞、易伟建将遗传算法和ESO算法结合在一起,形成了一种新的ESO—遗传演化结构优化算法(简称GESO),可根据此算法得到比较合理的钢筋混凝土深梁拓扑图形。不过,对于连续深梁而言,根据它们的GESO拓扑图形建立拉-压杆模型依然是一个繁琐与困难的过程。本文将采用GESO算法对连续深梁模型进行拓扑优化,然后运用基于GESO拓扑图形的应力配筋法对模型进行配筋,并对比按中国规范配筋的结果进行有限元分析。本文的主要研究工作和成果如下:1、运用遗传演化结构优化算法得到共13根无孔、开孔、跨数不同、荷载不同和开孔大小、位置、数目不同的连续深梁的拓扑图形,并结合一些满足Michell准则的典型平面应变场总结它们的图形规律。2、选取其中9根富有代表性的深梁模型,分别用本文提出的基于GESO的配筋方法和中国规范配筋方法进行配筋。基于GESO的配筋方法可直接从拓扑优化结果得到杆件的内力进行配筋,它比美国规范中重新建立拉-压杆模型再计算所得的杆件内力要精确与方便。3、应用专业的钢筋混凝土分析软件ATENA对上述9组18根连续深梁配筋构件进行非线性有限元分析,模拟其裂缝开展、极限承载力、破坏形态,以及分析影响连续深梁构件受力性能的几个要素,并对两种配筋方法做出比较。
[Abstract]:With the diversification of high-rise building functions, continuous deep beam is widely used. At present, the Code for Design of concrete structures in China (GB50010-2010) gives the principle that continuous deep beams should be designed by using the internal force obtained by two-dimensional elastic analysis, but it lacks a clear calculation model and reliable formula for calculating the bearing capacity. It makes the economy and safety of continuous deep reinforcement design open to question. The tension-compression bar model has been adopted by many countries because it can truly reflect the force transfer mechanism of deep beam and has been adopted by many countries. It has become the recommended design method for complex load-bearing members. However, it is still a major problem in engineering design research to obtain a reasonable pull-bar model which is in accordance with the engineering practice. Liu Xia, Yi Weijian combines genetic algorithm with ESO algorithm to form a new ESO-genetic evolutionary structure optimization algorithm (Geso), which can be used to obtain reasonable topological figure of reinforced concrete deep beam. However, for continuous deep beams, it is still a tedious and difficult process to establish a pull-compression bar model based on their GESO topology. In this paper, the GESO algorithm is used to optimize the topology of the continuous deep beam model, and then the stress reinforcement method based on the GESO topological graph is applied to the reinforcement of the model, and the finite element analysis is carried out according to the results of the Chinese code of reinforcement. The main work and results of this paper are as follows: 1. By using genetic evolutionary structural optimization algorithm, the topological patterns of 13 continuous deep beams with different sizes, positions and numbers of holes and loads are obtained. Combining with some typical plane strain fields satisfying the Michell criterion, the graph law of them is summarized. Among them, 9 representative deep beam models are selected, and the reinforcement method based on GESO and the Chinese standard reinforcement method proposed in this paper are used respectively. The reinforcement method based on GESO can get the internal force of the bar directly from the result of topological optimization. It is more accurate and convenient than the internal force calculated by re-establishing the pull-compression bar model in the American Code. Using the professional reinforced concrete analysis software ATENA, the nonlinear finite element analysis of the above 9 groups of 18 continuous deep beam reinforced members is carried out. It simulates the crack development, ultimate bearing capacity, failure form, and analyzes several factors that affect the mechanical behavior of continuous deep beam members, and makes a comparison between the two reinforcement methods.
【学位授予单位】：湖南大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU973.12

【参考文献】