Abstract
The seismic deformation method to evaluate the axial deformation of cylindrical underground structure is reconsidered through the exact solution based on the eigenfunction expansion method. The results show that the seismic deformation method can evaluate axial deformation of cylindrical underground structure appropriately unless frequency of the seismic wave is high and the axial wavelength is short. Moreover, the solution calculated by the seismic deformation method shows good agreement with that calculated by the eigenfunction expansion method. The elastic foundation spring used in the seismic deformation method should be derived with considering the influence on the wavelength in perpendicular to axial direction. Axial deformation of the structure is overestimated when the free-field ground displacement instead of the excavated ground displacement is inputted for the seismic loading.