Vibrations of Mindlin's Circular Plates with Thickness Varied along Radius

抄録

The vibrations of circular plates with variable thickness are studied by the method of Mindlin's thick plate theory. From the Lagrangian of vibration of the circular plate with thickness varied along radius, the equations of vibration and the boundary conditions are deduced. The vibration problems of circular plates with two or more nodal diameters are solved in the case that the thickness is varied exponentially, the effects of some parameters on frequencies are discussed and some frequencies are compared with those from the classical theory.