The Optimization Design Of Continuous Deep Beams

With the diversification of high-rise buildings feature, the application of continuous deep beams increasingly widespread. At present, China code GB50010-2010, although given that continuous deep beams should be design in the principles of which the internal forces should be obtained by a two-dimensional elastic analysis, but the lack of clear and reliable computational model and design formulas, making actual engineering design of continuous deep beams maybe not economic and safety. The strut-and-tie models have been adopted by many nations’ code because it reflects the real transfer mechanisms of deep beams and has the clear design ideas. Then the method became the typical method of designing complex mechanics structure.However, how to get a reasonable and suitable strut-and-tie model of actual project is still a major research challenge in the engineering design area. Liu X and YI W J put forward a new kind of topology optimization methods called Genetic Evolutionary Structural Optimization Algorithm(ie GESO algorithm), they combined the Genetic algorithm and ESO algorithm, and we can construct the strut-and-tie model refers to it. However, for continuous deep beams, according to their topology graph of GESO,build strut-and-tie model is still a tedious and difficult process.In this paper, the algorithm of GESO will be used to topology optimizing deep beam models, and then use stress reinforcement method which based on GESO topology graph to reinforce those models and contrast each specimen designed in the Code for Design of Concrete Structures GB50010-2010 by finite element analysis.The main research work and results are as follows:1.Using Genetic Evolutionary Structural Optimization Algorithm to obtain 13 topology graph of continuous deep beam models, which are different in opening or not,opening’s location, opening’s number and span’s number, forces.And combining with some typical plane strain field which meet Michell guidelines to summarize their graphic law.2.Selecting nine full of representation deep beam models to be reinforced by the proposed GESO method and Chinese code.The proposed GESO method can get the force of stick more convenient and accurate.3. Using the professional analysis software ATENA to conduct nonlinear finiteelement analysis of those reinforced members, simulating its crack development,ultimate bearing capacity, failure modes, and analyzes the factors of which can impact the performance of continuous deep beams under forces, and making comparisons of two kinds of reinforcement methods.