钢支撑-混凝土框架结构优化研究

Optimization of concrete frame with steel brace

针对新版抗震规范GB50011—2010所提出的钢支撑-混凝土框架结构体系,本文采用一种两阶段优化方法对其进行优化研究,用VB和FORTRAN语言编写了相应的优化程序并结合工程算例对程序的优化效果进行了验证。两阶段优化方法以结构造价为目标函数,第一阶段是基于虚功原理、拉格朗日乘数法,以位移约束为约束条件的优化过程;第二阶段则是采用多级优化方法,以强度约束、施工构造约束等为约束条件的优化过程。该方法能够以较快的优化速度解决钢支撑-混凝土框架结构的优化问题,具有较好的工程实用价值。

In this paper,a new method of two phases was proposed to solve the optimization of concrete frames with steel brace,which was presented in the latest China＇s seismic code （GB50011-2010）.A program has been compiled by VB and FORTRAN using twophase optimization method to solve the optimization and was proved correct and effective.The two-phase optimization method takes cost of structure as objective function.In phase 1,structure is optimized with virtual work principle,Lagrange Law in constraint conditions of displacement.In phase 2,optimization was done using multi-level optimal design method in constraint conditions including strength,construction requirements.This method was proved effective and efficient in optimization of concrete frames with steel brace of different height,so it will have good engineering practicability.