Analysis of non-axisymmetric vibrations and the use of basic element matrices

Abstract Non-axisymmetric vibrations of axisymmetric solids are analysed by the finite element method and excellent agreement with experiments is obtained. The paper focuses on the basic element matrices, which, independent of the number of nodal diameters n , give the stiffness- and mass matrix. These matrices gives explicitly the dependence on n and on Poisson's ratio. Thus we are able to read interesting asymptotic results on decouplings, eigenfrequencies and eigenmodes.