Role of the Curved Parametric Element in Linear Analysis of Thin Rotational Shells.
The candidate's previous research had been in developing a linear and a curved parametric element applied to axisymmetric oscillations of thin shells of revolution. The current scheme was confined to applying the above curved parametric element to the axisymmetric static case and was then developed to static analysis with any harmonic variation of loading. The vibration program was also extended to estimate the natural frequency of undamped systems with any number of diametral nodes. The general strain-displacement relationships from the original derivations were taken and simplified in order to explore their use in the present work independently of other available sources. The above relationships were then applied to codify the buckling problem, arising generally from compression or shear inplane resultants. Some perspex models in the shape of a cooling Tower were formed and tested in order to verify the existence of any correlation between theoretical and experimental results. These tests covered linear, small displacement response of the model for both static and dynamic cases. Finally the influence of the inplane stress resultants on the behaviour of axisymmetric shells was investigated and some numerical examples for simple cases were attempted
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