框支剪力墙中落地剪力墙合理刚度优化研究

落地剪力墙刚度是影响框支剪力墙结构安全性和经济型的重要因素之一.对框支剪力墙结构忽略楼板变形,运用振型分解反应谱法求解结构地震作用并将其作为目标函数,以层间位移与层高之比为约束条件,在层间位移与层高之比满足规范要求的条件下,使结构地震作用最小的落地剪力墙刚度即为合理刚度.在具体的数值求解中,可编写优化程序运用MATLAB、MATHCAD等软件进行计算.算例结果显示,本优化方法较全面的考虑了结构总高度、标准剪力墙刚度、层高、楼层自重等因素对落地剪力墙刚度的影响,同时具有概念简单、运算方便等优点,适用于框支剪力墙的初步设计.图2,表3,参9.

Optimal Rigidity of Shear Wall Linked with the Ground in Shear Wall Structure Supported on Frame-Shear Wall Structure Based on Optimal Principle

The rigidity of shear wall linked with the ground is an important factor in influencing the safety and economic of the shear wall structure supported on frame-shear wall structure.In this paper,without consideration of floor deformation,the so-called modal analyze response spectrum method to solve the earthquake actions of the whole structure, was employed we further consider this action as the aim function was considered and the result was detained that the rigidity of shear wall linked with the ground under the minimum structural earthquake action is optimal under maximum ratio of sideway to height of the bottom floor's constraint condition,where this ratio satisfy standard.The optimal rigidity can be acquired by mathematical software such as MATLAB.It shows that the developed model provide fairly comprehensive influence factors to the optimal rigidity of shear wall linked with the ground,such as building height, structural deadweight,flexural rigidity of normal shear wall,story height.This method is simple and convenient enough for using during the preliminary stage of design.2figs.,3tabs.,9refs.