Response spectrum method for multi‐support seismic excitations

Abstract A new response spectrum method is developed for seismic analysis of linear multi‐degree‐of‐freedom, multiply supported structures subjected to spatially varying ground motions. Variations of the ground motion due to wave passage, loss of coherency with distance and variation of local soil conditions are included. The method is based on fundamental principles of random vibration theory and properly accounts for the effects of correlation between the support motions as well as between the modes of vibration of the structure.