Abstract
The method of annular finite elements is applied to the problem of predicting the natural frequencies of free transverse vibration and critical buckling parameters of linearly varying thickness discs exhibiting polar orthotropic characteristics subjected to hydrostatic peripheral loading. By separating the flexural and geometric components of the structural stiffness, values of natural frequencies and critical buckling parameters can be obtained for a wide range of specimens by the application of a simple relationship and a few graphs. The axisymmetric and first two antisymmetric modes of vibration are considered.
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