文档介绍：
基于 MATLAB 的钢-混凝土组合梁截面优
化
董芳菲,郭晓晖*
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(西京学院工程技术系,西安 710123)
摘要:以钢-混凝土简支组合梁的造价为优化目标函数,以截面的高度和宽度作为自变量,
在进行挠度的计算时,采用简化的折减刚度系数来考虑粘结滑移效应的影响,同时引入几何
约束条件、变形约束条件、抗剪承载力和受弯承载力约束条件进行组合。进而基于 MATLAB
优化函数将该方法应用于简支梁算例。数值结果表明该优化方法简单易行,优化效果较好,
可推广应用于钢-混凝土组合梁的工程优化设计。
关键词:结构工程;钢-混组合梁;截面优化;粘结滑移效应;简化的折减刚度系数
中图分类号:TU318
Optimization for the Section of Steel-posite
Beams based on MATLAB
DONG Fangfei, GUO Xiaohui
(Department of Engineering Technology, Xijing University, Xi'an 710123)
Abstract: The cost of steel-posite beams is chosen as the optimization objective
function with the independent variable of the height and width of the cross section. Simplified
stiffness reduction coefficient is applied to considerate the bond-slip effect in the condition of the
combination of geometric constraints, formation constrains shear capacity constrains and flexural
strength constraints. A simple beam example is calculated using the method based on Matlab. The
good result indicated that this method is feasible and can be applied to the steel-concrete
composite beams engineering optimization design.
Key words: structure engineering, steel-posite beams, optimization for the section,
design simplified stiffness reduction coefficient, bond-slip effect
0 引言
近年来,钢一混凝土组合梁结构以其优越的结构形式得到了广泛应用,但有关组合梁结
构优化的研究仅限于截面尺寸方面的理论研究,且多采用拉格朗日乘子法[1-2]或有限元法[3]
求解,文献[1]进行挠度计算时,采用了换算截面法