大跨度屋盖结构等效静力风荷载数值计算方法

Numerical calculation of evaluating equivalent static wind loads on long span roof structures

基于大跨度屋盖结构等效静力风荷载计算的复杂性,提出了极值效应等效静力风荷载的概念和应用数值优化原理计算大跨度屋盖结构内力等效静力风荷载的方法.以几内亚体育场主看台悬挑屋盖为例,计算得到其位移等效静力风荷载;以巴哈马体育场主看台悬挑屋盖为工程背景,基于两类不同目标函数按最小二乘拟合得到内力等效静力风荷载.并分别给出两组内力等效静力风荷载作用下的杆件极值内力误差分布,分析了基于两类目标函数的拟合方法各自的优缺点.算例与分析表明该方法实用性很强,既方便设计使用,又有相当高的精度,可以满足工程设计的需求.

The complexity of calculating equivalent static wind loads on long span roof structures was discussed. The concept of the equivalent static wind loads of extreme effects is given. The internal force equivalent static wind loads on long span roof structures was calculated by numerical optimization principle. The displacement equivalent static wind loads of Guinean Stadium＇s cantilever roof was evaluated. On the basis of project background of Bahamas Stadium＇s cantilever roof, internal force equivalent static wind loads were approximately obtained by least-square method of two kinds of objective functions. The error distributions of the extreme internal forces of bars by acting two groups of internal force equivalent static wind loads are given respectively, and merits and demerits of the leastsquare method based on each kind of the two objective functions were further analyzed. Case study indicates that the calculation method is very practicable, and can satisfy the requirements of engineering designs in both precision and convenience.