Axisymmetric free vibration of thick annular plates
The paper presents a numerical analysis of axisymmetric free vibrations of thick annular plates described by Mindlin first-order shear-deformation theory. Solution of the problem is obtained by differential quadrature method and then is examined in terms of boundary conditions, relative thickness, inner-to-outer radius ratio, and vibration modes. In particular, the authors analyse various combinations of boundary conditions (free, clamped and simply supported inner and outer boundaries). The solution is explicitly derived for the first five axisymmetric natural frequencies.
Mindlin first-order shear-deformation theory
scientific article; zbMATH DE number 1389032