Axisymmetric vibration analysis of rotating annular plates by a 3D finite element

The axisymmetric vibration of spinning isotropic annular plates is herein analyzed by a modified axisymmetric finite element. Due to the three-dimensional-elasticity nature of the present approach, all the initial stresses induced by the centrifugal force are calculated and taken into account in the augmented strain energy expression, while only two are considered in the conventional analyses. Also, the whole three velocity components are considered in the inertial term instead of only one by conventional approaches. Natural frequencies of annular plates with different ratios of inner-to-outer radius, ratios of thickness-to-radius, rotational speeds, and boundary conditions are derived by the present approach and are compared with those by a plate-theory approach.

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