基于GESO的钢筋混凝土梁拓扑优化方法研究

Topology optimization of reinforced concrete beams based on GESO

为克服仅将钢筋混凝土作为单一材质进行拓扑优化的弊端,提出了GESO算法对分离式钢筋混凝土模型进行拓扑优化,并对拓扑解进行了简化,分别验证了二维矩形梁与三维T梁的钢筋布置方案。研究结果表明:与经典ESO算法相比,GESO算法效率更高,删除率、对称性及美观性均更优;基于GESO算法的二维矩形梁与三维T梁初始拓扑优化构型,经简化后可得到钢筋布置形式,优化后的矩形梁和T梁的位移、应力变化幅度较小;但不同荷载、位移边界条件下,拓扑优化后的钢筋布置形式存在显著差异,实际配筋设计中应考虑结构受荷形式与边界情况,获得配筋设计的最优方案。

In order to overcome the disadvantage of traditional topology optimization using single material to analyse the reinforced concrete,the GESO algorithm is proposed to optimize the topology of separated reinforced concrete model,and the topology solution is simplified.The reinforcement arrangement schemes of 2D rectangular beam and 3D T beam are verified respectively.The results show that the GESO algorithm has higher efficiency,better deletion rate,symmetry and aesthetics than those from the classical ESO algorithm.The initial topology optimization configuration of 2D rectangular beam and 3D T beam based on GESO algorithm can be simplified to obtain the reinforcement arrangement.The displacement and stress of the optimized rectangular beam and T beam are small.There are significant difference in the layout of reinforcement after topology optimization under different load and displacement boundary conditions.In the design work,the concrete loading form and boundary condition of the structure should be considered for reinforcement design to get the optimal scheme.