The invention discloses a large-span roof structure wind-induced response
fast algorithm considering high-order
modal quasi-
static response, and the
algorithm comprises the following steps: S11, building a finite
element model of a large-span roof structure, and determining the
modal damping ratio of the large-span roof structure according to the design condition, so as to obtain the structural dynamic characteristics of the large-span roof structure; step S12, determining a random wind load acting on the large-span roof structure through a wind tunnel test, and calculating a wind load
Fourier transform function of a truncation function corresponding to the random wind load; step S13, according to the dynamic characteristics of the structure and the wind load
Fourier transform function, performing calculation by adopting a
modal acceleration method, obtaining a
Fourier transform function of the structure displacement response; and S14, according to the Fourier transform function of the structure displacement response, performing power
spectral density estimation by adopting a
periodogram method to obtain a power
spectral density matrix of the structure displacement response, and performing integration on the power
spectral density matrix of the structure displacement response to obtain a displacement response root-mean-square of the large-span roof structure. According to the method, quasi-
static response of a high-order mode is considered, better convergence is achieved compared with a traditional method, and under the condition of the same precision, calculation time and memory occupation are relatively small.