Stability Control Analysis of Rotating Plates by Finite Element: Emphasis on Slots and Holes

Abstract

Accurate finite element procedures have been developed for the vibration of plates with significant membrane stresses. Thermally stressed, rotating circular plates with peripheral edge slots are examined in detail and the influence of slots upon critical rotation speed instability is clarified. In realistic environments slots can considerably increase critical speeds through the reduction of compressive thermal stresses and the introduction of geometrical assymmetry. Optimization of critical instability speeds is discussed.