基于Lagrange乘数法的钢筋混凝土矩形截面单筋梁截面优化  

OPTIMAL DESIGN FOR REINFORCED CONCRETE RECTANGULAR SECTION SINGLE-REINFORCED BEAM BASED ON LAGRANGE MULTIPLIER METHOD

作　　者：贺海斌 

机构地区：[1]邵阳学城市建设系,湖南邵阳422001

出　　处：《建筑技术开发》2011年第7期11-13,共3页Building Technology Development

基　　金：湖南省教育厅科研项目(编号:10C1192)

摘　　要：以工程成本为目标函数,以截面有效高度为设计变量,考虑弯矩设计值、截面尺寸、配筋率等约束条件,建立了钢筋混凝土矩形截面单筋梁的优化模型。采用Lagrange乘数法对优化模型进行求解,通过算例证明该方法的有效性,为优化提供新的思路。The optimization model has been established in the paper for the reinforced concrete single-reinforced rectangular section beam which the project cost as objective function, the effective depth of section as design variables and consider the design value of bending moment, section size, reinforcement ratio and other constraints. Used Lagrange multiplier method to solve the optimization model, an example proved the effectiveness of the method for the new optimization ideas.

关 键 词：单筋梁 优化 LAGRANGE乘数法 

分 类 号：TU375.1[建筑科学—结构工程]