基于拟满内力算法的方钢管混凝土桁架拓扑优化

Topology optimization of concrete filled square steel tubular truss based on full internal force algorithm

为提高多离散变量、多约束条件的方钢管混凝土桁架的优化效率,采用拟满内力算法对方钢管混凝土桁架进行拓扑优化。在满足尺寸约束和承载力约束条件下,以造价最低为目标函数,建立了基于独立变量的方钢管混凝土桁架拓扑优化数学模型;拓扑优化主体采用遗传算法,随机得到初始拓扑种群后采用启发式方法检查并修正拓扑构形,之后采用拟满内力算法对拓扑构形进行尺寸优化,再对优化结果进行拓扑优化,封闭循环直到输出最优结果。通过对12杆和15杆桁架进行研究分析,结果表明:将拟满内力算法应用于方钢管混凝土桁架拓扑优化中是一种有效可行的方法,而且一定程度上提高了优化效率。

In order to improve the optimization efficiency of concrete filled square steel tubular truss with multi discrete variables and multi constraints,the full internal force algorithm is used for topology optimization of concrete filled square steel tubular truss.Under the conditions of dimensional constraints and bearing capacity constraints,a mathematical model for topology optimization of concrete filled square steel tubular truss based on independent variables was established with the objective function of lowest cost.The main body of topology optimization adopted genetic algorithm to randomly obtain the initial topology population and then used heuristic method to check and correct the topology configuration.After that,the full internal force algorithm was used to optimize the size of the topology configuration,and then the optimization results were optimized.The closed loop was used until the optimal results were output.Through the research and analysis of 12 bar and 15 bar trusses,the results showed that it was an effective and feasible method to apply the full internal force algorithm to the topology optimization of concrete filled square steel tubular truss,and the optimization efficiency was improved to a certain extent.