大跨度屋盖结构风振响应和等效静风荷载的快速算法和应用

Efficient algorithm and application for the wind-induced response and equivalent static wind load of large-span roof structures

采用一种新的快速算法—谐波激励法(HEM)计算复杂大跨度空间结构的风致响应,该方法的精度等同于完全二次型组合(CQC)方法,对内存的消耗却要远小于CQC方法且计算速度要显著比CQC方法快。在得到结构风致响应的基础上,基于荷载响应相关(LRC)原理计算出包含共振响应和模态耦合的结构等效静风荷载(ESWL)。将本文方法应用于一复杂体育场屋盖的风振响应和ESWL的计算分析,通过对该结构风致响应的特征和ESWL分布的分析和讨论,证明了本文方法的有效性。文中还对响应的背景和共振分量的相关特征进行分析,结果显示:响应的背景和共振分量的相关系数最大可达-0.13,忽略这种相关特征所产生的误差最大可达6%并高估了结构的风振响应。

An efficient algorithm named as harmonic excitation method （HEM） is employed to calculate the windinduced response of complex large-span roof structures. The method has the same accuracy as, but much faster and lesser memory consumption than the traditional complete quadratic combination （CQC） approach. On the basis of the wind-induced response obtained using the HEM approach, the load-response-correlation （LRC） approach is applied to estimate the equivalent static wind load （ESWL） on structures with wind-induced response （including the resonant response） and modal correlation. A complex stadium roof structure is analyzed to illustrate the effectiveness of the proposed method. The correlations between the background and resonant components of the response are also analyzed. The results show that the maximum correlation coefficient between the background and resonant components is -0.13, and that neglecting this correlation may result in an error of 6% and overestimation of the wind-induced response of the structure.