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基于Lagrange乘数法的钢筋混凝土矩形截面单筋梁截面优化
引用本文:李斌,黄耿东,刘骜.基于Lagrange乘数法的钢筋混凝土矩形截面单筋梁截面优化[J].邵阳学院学报(自然科学版),2011,8(2):52-55.
作者姓名:李斌  黄耿东  刘骜
作者单位:邵阳学院城市建设系,湖南邵阳,422004 [2]湖南省第四工程有限公司,湖南邵阳422001
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.

关 键 词:单筋梁  优化  Lagrange乘数法

Optimal Design for Reinforced Concrete Rectangular Section Single-reinforced Beam Based on Lagrange Multiplier Method
LI Bin,HUANG Geng-dong,LIU Ao.Optimal Design for Reinforced Concrete Rectangular Section Single-reinforced Beam Based on Lagrange Multiplier Method[J].Journal of Shaoyang University:Science and Technology,2011,8(2):52-55.
Authors:LI Bin  HUANG Geng-dong  LIU Ao
Institution:1.Department of Urban Construction, Shaoyang University, Shaoyang, Hunan 422004,China; 2.Fourth No.4 Engineering Co., Ltd. in Hunan province, shaoyang, Hunan 422001, china)
Abstract:The optimized model has been established in this paper for the reinforced concrete single -reintorced rectangular section beam with the project cost as objective function, the effective depth of section as design variables and consider the design value of
Keywords:single-reinforcod beam  optimization  Lagrange multiplier method
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