大跨屋盖结构共振响应的简化CQC法

为提高传统完全二次项组合法(CQC法)的计算效率,通过对模态频响传递函数和模态力谱的分析,提出了大跨屋盖结构共振响应的简化CQC法.该方法根据结构的动力特性和风荷载特性,计入了模态频响传递函数和模态力谱实部和虚部对响应方差的贡献;为保证计算精度,考虑了共振响应模态的耦合效应.将该方法应用于某游泳馆屋盖结构共振响应分析,并将其与传统CQC法的计算结果进行比较.算例表明,与传统CQC法相比,该方法误差较小,节点位移共振响应最大误差仅为2.73%,验证了该方法的可行性和有效性. 

Simplified CQC Method for Resonant Response of Long-Span Roof Structure

In order to improve the calculation efficiency of the traditional CQC (complete quadratic combination) method, a simplified CQC method to calculate the resonant responses of a long-span roof structure, called SCQC method for short, was proposed based on the analyses of modal frequency response function and modal force spectrum. With considering structural dynamic characteristics and wind characteristics, the contributions of real and imaginary parts of the modal frequency response function and the modal force spectrum to response variance are considered in the SCQC method. In addition, the method considers modal coupling effect so as to assure the calculation accuracy. The SCQC method was applied to the analysis of the resonant responses of a swimming pool roof structure, and the analysis results were compared with ones based on the traditional CQC method. The results show that compared with the traditional CQC method, the proposed method has a small error, and the maximum error is only 2.73%to verify its feasibility and effectiveness.