基于无网格方法的钢结构构件优化模拟分析

对基于无网格方法的钢结构构件进行了拓扑优化设计模拟分析的研究．以钢构件虚密度作为设计变量，引入势阱函数，构造以钢结构构件的柔度和势阱函数作为优化的目标函数．同时显式表达虚密度与材料弹性模量之间的对应关系，并通过引入势阱函数，使中间密度值向0／1两端聚集．在无网格法框架下进行了灵敏度分析，采用了序列二次规划法（SQP）作为优化算法进行了优化，验证了无网格法框架下进行钢结构构件优化模拟分析的可行性．

Analysis of steel structure optimization based on meshless method

Based on meshless method for the steel structure topology optimization and virtual density as a design variable, the paper introduced potential-well function and the optimization objective function of flexibility. At the same time, the relationship between the density of virtual materials and elastic modulus is explicitly expressed. The introduction of potential-well function makes that the middle density to 0 / 1. Based on meshless method, the ＂sensitivity is analyzed, and we use the sequential quadratic programming （SQP） as an optimized algorithm to verify the feasibility of the topology optimization simulation of steel structure.