Abstract
The seismic deformation method to evaluate the longitudinal bending 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 the longitudinal bending deformation of cylindrical underground structure when the structure is treated as an elastic shell, with the surrounding ground treated as elastic foundation springs in axial and axis orthogonal directions and the input ground displacement treated appropriately. On the other hand, conventional seismic deformation method that assumes the structure as a beam overestimates the maximum axial strain of the lining because beam theory ignore the equilibrium of force in the axial direction.