Vibrations of Conical Shells with Variable Thickness : continued

抄録

In this paper, free vibrations of truncated conical shells with variable thickness are studied by two methods. One is the method to use the stress-strain relations of the classical theory and the other is to use the three dimensional Hooke's law on the assumption that displacements are linear functions of thickness of shells. In both studies, Lagrangians of vibrations are obtained, equations of vibrations and boundary conditions are deduced from stationary conditions of Lagrangians and strict solutions are calculated in a form of series. These are, also, compared with equations and numerical result of the improved theory published by authors before.