Abstract
Actual rotational shells have mostly edge beams. But in the past, it seems that most studies on rotational shells with edge beams were neglected in the deformation of cross section of edge beams, or neglected that edge beams. Also, regarding the ratio of rise/span of rotational shells, the maghitude of the influences of the seismic forces in the vertical and horizontal directions has not been clealy studied yet. Therefore, authors attemped the study on static and free vibration analysis of conical shells and spherical shells with edge beams in consideration of deformtion of edge beams under some boundary conditions and changing the rise of shells. Further, we carried out dynamic response analysis of them subjected to seismic forces in the vertical and horizontal directions. From the above investigation, authors found that shallow conical and spherical shells subjected to seismic forcs in the vertical direction bring about large deformations and stresses. On the other hand, shallow and non-shallow shells subjected to seismic forces in the horizontal direction do not cause so large deformations and stresses. So, when we design the shallow shell, we need to investigate the deformations, stresses and stability of the shell subjected to the seismic forces in the up-down direction.
