Abstract:The multiple support response spectrum (MSRS) theory formula based on displacement and the displacement-velocity model are induced and given. Then, the irrationality and unconvergency of the responses, which are calculated from the displacement-multiple support response spectrum (D-MSRS) model and derived from the current displacement input model, are explained. This paper also addresses the accidence in deducing processing, and necessity in calculation results of MSRS deduced from the acceleration model. The deriving processing and numerical results show that the displacement velocity-multiple support response spectrum (DV-MSRS) is strict and logical. The D-MSRS can induce the unreasonable and unconvergent internal force of the bottom element. The reasonability of A-MSRS (acceleration-multiple support response spectrum) derived from the two negligible terms can be counteracted, but is suitable for a classic damping system.