Vibration and stability of annular plates under conservative and non-conservative loads

Abstract

This paper deals with the vibration and stability of annular plates elastically restrained against translation and rotation at the edges. The plate is subjected to a horizontal or tangential radial load. Both axisymmetric and non-axisymmetric vibrations are considered. Numerical results are obtained for the plate with free outside and elastically restrained inside edges when the ratio of inner to outer radius is 0·3. The flutter and divergence instability loads are obtained for a range of constraint stiffness parameters of the inside edge and are shown graphically. It is found that the flutter load of a plate subjected to a follower load results from a coalescing of the (m, n) and (m + 1, n) modes, where m and n are the number of nodal circles and nodal diameters. As for the plate studied in the numerical calculation, the flutter type of instability occurs for m = 0 and n = 0, 1, 2.