密肋复合墙体多目标优化设计方法研究

Research on multi-objective optimization design method of multi-ribbed composite wall

密肋复合墙体是密肋壁板结构体系的主要受力构件,墙体的优化设计方法研究是结构体系设计理论的重要组成部分.本文研究了密肋复合墙体多目标优化设计方法;提出了综合考虑墙体的安全性(墙体斜截面抗剪承载力)与经济性(墙体造价)的多目标优化设计数学模型,并利用序列二次规划法(SQP)在Matlab软件系统上进行优化计算,同时给出了优化设计计算算例.理论分析与计算结果表明:将多目标优化设计方法用于密肋复合墙体的优化设计中,可使各个分目标都较为满意,兼顾了墙体安全性与经济性两方面的要求;方法合理、可行,具有一定的工程实用意义.

A multi-ribbed composite wall is the main load-bearing member in the multi-ribbed slab structure （MRSS）. The study on the optimization design method of the wall is an important part of the design theory for the structural system. This paper discusses the multi-objective optimization design method of the multi-ribbed composite wall and puts forward the multi-objective optimization design mathematical model which takes both the security （shear resistance of the wall） and economy （cost of the wall） into consideration. The proposed model is optimized by Sequential Quadratic Programming （SOP） on Matlab system. At the same time, a case of optimization design is given. Theoretical analysis and calculated results show that applying the multi-objective optimization design method to the optimization design of the multi-ribbed composite wall can make every objective satisfactory and give consideration to both the security and economy of the wall. This method was found reasonable, practicable and has some meaning to the practical engineering.