This article aims at studying the seismic response rules and design method of single large span structures to spatially varying ground motions. A corrected earthquake power spectral density model is first proposed and applied to the following solution process. The practical solution form of the multi-support pseudo excitation method is put forward and used to analyze the seismic response. The total response is divided into the pseudo-static and relative dynamic response. A simplified single large span structural model is used as the research object to study the response law when both the wave-passage effect and incoherence effect are considered. The result shows that the wave-passage effect and incoherence effect can both increase the pseudo-static response. The relative dynamic response is influenced by the form of trigonometric function, while wave-passage frequency influences the period and coherence function results in amplitude attenuation. When the ratio of natural frequency to wave-passage frequency equals to 0.5 n (n = 0, 1, 2,…), the structural seismic response reaches extreme value. Based on the derived response law, a method of quickly determining the most unfavorable conditions of the multi-support excitation effect is proposed for seismic design of single large span structures.
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