Multi-vibration-mode analysis of single-layer spherical reticulated shell under wind load

In order to analyze the contribution-significant modes and the mode coupling effects for the wind-induced vibrations, a Ritz-POD method is proposed for identifying the contribution-significant modes, which takes into account the vibration-participating ability of each natural mode, and the similarity between the mode and the spatial distribution of the fluctuating wind load. The evaluations of the mode coupling effects for the wind-induced vibration were performed using modal displacement covariance matrix. The results indicate that some high order modes must be considered, which locate in the frequency snap zone and contribute to the wind-induced vibration significantly. Moreover, the modal auto-correlation plays a much more important role in the wind-induced vibration than the modal cross-correlation, and the mode coupling effect for the wind-induced vibration is approximately 10%.