基于改进引力搜索算法的桥式起重机主梁优化

Optimization of Main Girder of Bridge Crane Based on Improved Gravitational Search Algorithm

介绍了一种新型群体智能优化算法——引力搜索算法,针对其局部搜索能力较弱的问题将常系数和权值引入算法,改进了其位置更新公式和惯性质量公式。应用改进的算法、基本算法和遗传算法优化目标函数,利用MATLAB分析结果检验了改进引力搜索算法的可行性和优越性。将万有引力搜索算法运用到桥式起重机主梁的轻量化设计中,通过有限元分析得到优化后的主梁在保证强度刚度等参数符合设计要求的情况下,截面面积比优化前减少了19.14%。

This paper introduces a new group of intelligent optimization algorithm and the gravitational search algorithm,and for the problem of the weak local search capacity,introduces the finite element and the weight into the algorithm which is used to improve the position updating formula and the inertia quality formula.The improved algorithm,the basic algorithm and the genetic algorithm are used to optimize the objective function.The feasibility and superiority of the improved gravitational search algorithm are verified by MATLAB analysis.Then,the gravitational search algorithm is applied to the lightweight design of the main girder of the bridge crane.The optimized area ratio of the main girder after optimization is reduced by 19.14%,and the design requirements such as strength stiffness are satisfied.