Vibrations of a Cylindrical Shell with Variable Thickness Capped by a Circular Plate

抄録

In this paper, the vibrations of a combined system of a circular cylindrical shell with variable thickness of which one end is clamped and the other is connected to a circular plate with variable thickness are analyzed by means of the improved thick plate and shell theories. The Lagrangian of the combined system is expressed by quadratic forms of boundary values, and the frequency equations can be obtained from the minimum conditions of that Lagrangian with respect to unknown boundary values. Effects of a circular plate and some parameters such as variations of thickness upon natural frequencies of the combined system are clarified in discussions of numerical results. Transfer phenomena of the mode shapes are also investigated.