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.