钢筋混凝土框架的抗震优化设计

Optimal Design of Reinforced Concrete Frame under Earthquake Action

本文以梁、柱的截面尺寸为设计变量;以结构重量为目标函数;以梁的变压区高度、轴压比、剪压比(应力约束)和弹塑性层间位移(位移约束)为约束条件,建立了满足现行规范要求的框架抗震优化的数学模型.用复形法求得满足约束条件的结构重量最轻的优化成果.结论为:无论框架的结构和荷载特征如何,在满足应力约束的前提下,只要恰当改变梁或柱的截面尺寸,用复形法即可得到位于位移约束边界上的最优点.

Under the action of earthquake force,the frame structure must satisfy the requirement of strength stiffness and ductility.The requirement is in accord with the principle that'a weak earthquake does not cause breaking and a strong earthquake does not cause falling-down.In the paper the author has proposed an optimal mathematical model,which satisfies the requirement of the present standard.This model is based on a complex shape model and with it the optimal result can be obtained for most light frame structu...