基于实际竖向荷载分布的波纹钢板剪力墙轴压屈曲分析

Axial Compressive Buckling of Corrugated Steel Plate Shear Walls Under Actual Vertical Load Distribution

波纹钢板剪力墙是一种采用波纹钢板作为内嵌墙板的新型钢板剪力墙结构,具有较高的强度、延性及耗能能力,可作为多层及高层建筑的抗侧力结构体系.内嵌波纹墙板可与边框同步安装,不可避免地会承受上部楼面及边框柱传递的竖向荷载,因此,对波纹钢板剪力墙在竖向荷载作用下的轴压稳定性及屈曲承载力进行研究具有重要意义.将波纹墙板简化为正交各向异性平板,利用微分方程幂级数求解法,推导了线性、非线性分布的轴压荷载作用下波纹墙板弹性屈曲承载力的理论分析方法,并结合三维精细有限元分析结果对该理论分析方法进行修正,以弥补波纹墙板简化产生的误差.建立了多层波纹钢板剪力墙结构的精细有限元模型,并对竖向荷载在各层墙板的分布规律进行研究,发现顶层墙板中竖向应力沿跨度方向呈抛物线分布,并得到了竖向荷载的分布函数,其余楼层墙板中竖向应力近似均匀分布.根据实际竖向荷载分布,提出了波纹钢板剪力墙结构中墙板轴压屈曲荷载的显性计算公式,并通过精细有限元分析验证了该计算公式的有效性.由参数分析结果可知,在其他几何参数不变的情况下,波纹墙板轴压屈曲应力随直边长度的增加显著降低,随平区格板宽度、波折角和区格板宽度比的增加而增加,而波纹边长度和板厚的影响不大.

Corrugated steel plate shear wall,a new type of steel plate shear wall structure with corrugated steel plates as infill wall plates,could be used as a lateral force-resisting system for mid-to high-rise buildings owing to its high lateral capacity,ductility,and energy dissipation capacity.The corrugated wall plates can be installed synchronously with the boundary frame,which will inevitably bear the vertical load from the upper floor and boundary columns.Therefore,investigating the stability and buckling capacity of corrugated steel plate shear walls under vertical loads is of great significance.In this paper,an analytical method is developed by simplifying as orthotropic plates to determine the elastic buckling capacity of corrugated wall plates under linearly or nonlinearly distributed axial compressive loads,using power series solution to solve differential equations.The analytical method is modified based on threedimensional finite element analysis to compensate for the errors caused by the simplification of corrugated plates.Finite element models of multistory corrugated steel plate shear walls are established,and the vertical load distribution in the wall plate of each story is studied.It is found that the vertical stress distribution in the wall plate is parabolic in the top-story and approximately uniform in other stories,prompting the development of a vertical stress distribution function for the top-story wall.Based on the actual vertical stress distribution,an explicit formula for calculating the elastic buckling capacity of corrugated wall plates under axial compression is proposed and verified by finite element analyses.Parametric studies show that the elastic buckling capacity of corrugated wall plates under axial compression decreases significantly with an increase in the straight edge length and increases with the increase in flat subpanel width,corrugation angle,and subpanel width ratio,while the length of the corrugated edge and plate thickness have little effect.