考虑风振响应特性的多目标等效静力风荷载实用分析方法

针对大跨屋盖结构风效应分析理论框架中不同环节相应分析方法众多且未能较好协调统一的问题,以最后环节的等效静力风荷载求解为目标,提出一种考虑风振响应特性的多目标等效静力风荷载实用分析方法。基于脉动风振背景响应、共振响应及其耦合项组合结果,利用LRC法基本原理推导构造多目标等效方程的基本向量,实现与脉动风振响应完全协调对应,且能够再现风振响应特性,采用最小二乘法求解等效方程,得到多目标等效静力风荷载;引入应变能概念,考虑结构所有节点响应,根据三分量各响应应变能对总响应能变能的贡献,定义响应分量贡献系数,据此系数进行大跨屋盖结构脉动风振响应特性类型判定,在此基础上,根据风振响应特性类型判定结果,精准构造多目标等效方程并进行最小二乘数值求解,实现多目标等效静力风荷载的高效实用计算。以北京奥林匹克公园网球中心赛场屋盖结构为例,进行风振响应特性类型判定,根据判定结果,计算其多目标等效静力风荷载以及该等效静力风荷载作用下的结构静力响应,并与频域分析所得目标响应进行对比,结果表明:所提方法能够精准高效计算结构多目标等效静力风荷载,具有工程应用价值。

A practical method for analyzing multiple target equivalent static wind load considering the characteristics of wind-induced response

With regard to the numerous analytical methods corresponding to different segments in the theoretical framework of the wind effect analysis of large-span roofs,which are also not well coordinated or unified,a practical method is proposed to analyze the multi-target equivalent static wind loads considering the characteristics of wind-vibration responses.Based on the combination of the pulsating wind-induced background response,resonant response and their coupling term,the load response correlation(LRC)theory is applied to derive the fundamental load vectors of the multi-target equivalent equations,in order to fully coordinate the pulsating wind-vibration response and reconstruct the wind-vibration responses.On this basis,the multi-target equivalent static wind load can be obtained by solving the multi-target equivalent equations using the least square method.Introducing the concept of strain energy,and considering all nodal responses and the contribution of the three components of the strain energy of each nodal response to the total response,the contribution coefficient of the response component is therefore defined to determine the characteristic category of the pulsating wind-induced response of the large-span roof.Based on this,the multi-target equivalent equations are constructed accurately and solved efficiently.Taking the roof of Beijing Olympic Park Tennis Center Stadium as an example,the type of the wind-vibration responses is identified.Hence,the multi-target equivalent static wind loads and the static responses are calculated and then compared with the target responses in the frequency domain The results indicate that the presented method can accurately and efficiently compute the multi-target equivalent static wind loads of structures,with valuable engineering applications.