基于正交分解的多层小开口剪力墙洞口优化布置

Openings optimization layout of the multi-layer shear wall with small openings based on orthogonal decomposition

洞口位置和宽高比对剪力墙的受力特性有着显著的影响,洞口的优化布置对开洞剪力墙的抗震设计是十分重要的。本文基于变形的正交分解与振型分解理论,以剪切变形为主区域最小为目标,以剪力墙侧移值、线刚度和洞口尺寸规范限值为约束条件,建立了多层小开口剪力墙优化模型;在开洞率一定的条件下,采用分步优化的方法,得到了规则小开口剪力墙洞口最优布置的一般解,即首先应尽量沿中线对称布置洞口,其次洞口的宽高比应尽量采用满足设计要求的下限值。

Location and width height ratio of openings have dramatic impacts on the mechanical characteristics of the shear wall.Therefore,how to optimize the layout of openings is important to seismic design of shear wall with openings.Based on the orthogonal decomposition of deformation and vibration modes decomposition theory,this paper established an optimization model for multi-layer shear wall with small openings,with the minimum proportion of region based shearing deformation as objective function,the limits of lateral displacement,linear stiffness and size requirements of openings as constraint conditions.General solutions of openings optimal layout of the multi-layer shear wall with small openings was obtained under the constant opening rate condition with the gradual optimization method.The openings layout should be as symmetrical as possible along the midline.And the width-height ratio of openings should adopt the lower limit satisfying designing demands.