Abstract
Method of initial functions for an axially symmetric state of stress in elasto-dynamic problems has been formulated which gives a complete choice in prescribing the boundary conditions in terms of either stresses or displacements, or a combination of stresses and displacements. The general dynamic response of the elastic body has been derived in the form of a set of transcendental partial differential equations from which the initial functions can be evaluated in terms of prescribed boundary conditions. The method is applied, as an illustration, to the flexural theory of circular plate subjected to antisymmetric lateral loads. Numerical examples of free vibrations of circular plates are given. The results are compared with solutions from classical theory.
Published Version
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