In this paper, the pseudo excitation method was further improved and used for multi-dimensional random seismic analysis of a typical stadium canopy roof structure named Jinan Olympic Center. Theoretical formulations for multi-dimensional pseudo excitation algorithm were derived. A method of evaluating average peak responses was recommended. Seismic random models and parameters under multiple seismic ground motions were detailed introduced. The displacement responses of key nodes under single dimension and multiple dimensions were compared by calculating. The structure response under multi-dimension seismic input would be significantly magnified. The results of pseudo excitation method and the time history analysis were compared to verify the accuracy of multi-dimensional pseudo excitation method, and they were in good agreement. Multi-dimensional pseudo excitation method as an efficient random vibration analysis method provides an effective way to the field of random vibration analysis of large-scale stadium canopy roof structure.
