dynamic response of concrete funicular shells with a rectangular base under impulse loads

Funicular shells are thin, doubly curved shallow shells that are in compression under dead weight due to their shape. in this study, an analytical approach is employed to consider the forced linear vibration of concrete funicular shells with a rectangular base under impulse loads based on shallow shells theory. two boundary conditions, simply supported and clamped, are considered. the solution is obtained by lagrangian approach. the accuracy of the results was considered by comparing the results with those of finite element method. the results indicated that tensile stresses in addition to compressive stresses formed in funicular shells under impulse loads.