钢筋混凝土简支梁的多目标可靠性稳健优化设计

为提高钢筋混凝土简支梁的可靠性和稳健性,运用可靠性和稳健优化设计的理论,建立了适合可靠性稳健优化设计的多目标模型。针对可靠性稳健优化设计的多目标模型多属于高维多目标优化问题,把灰色理论中的关联分析引入粒子群优化算法中,根据灰色关联能够很好地分析目标矢量之间的接近程度,并能掌握解空间全貌的特点,提出了适合高维多目标优化问题求解的灰色粒子群算法。与传统方法相比,该方法更能迅速准确地得到钢筋混凝土简支梁的可靠性稳健优化设计信息。

Multi-objective Reliability Robust Optimization Design of Reinforced Concrete Simple-supported Beam

In order to improve the reliability and robustness of reinforced concrete simple-supported beam,a multi-objective model for reliability robust design is given according to the reliability and robust design theory.The Grey Relevancy Analysis is employed into Particle Swarm Optimization algorithm due to the high dimension nature of multi-objective optimization models.The degree of approach between objective vectors can be well analysed and the panorama of the solution can be controlled by this way.Furthermore,the Grey Particle Swarm algorithm is presented for multi-objective optimization problem with high dimension.In contrast to the traditional method,the proposed approach can obtain the information of reliability optimization design on reinforced concrete simple-supported beam accurately and rapidly.