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Volume 1,     Number 3,     Summer 1993

 

CIRCULAR ELASTIC PLATES WITH PRESCRIBED
AXISYMMETRIC EDGE DISPLACEMENTS
Y.H. LIN AND FREDERIC Y.M. WAN

Abstract. Three canonical (singular) solutions are obtained for the axisymmetric elastostatics of an orthotropic circular plate with its only edge constrained from any displacement. Each three-dimensional elastostatic problem is first reduced to a scalar integral equation which is then solved numerically by orthogonal collocation. Moments of stresses at the edge of the plate for the canonical problems are calculated to be used in the formulation of the proper displacement boundary conditions for two-dimensional thin or thick plate theory solutions. These moments are also used here to determine the interior solution of a circular plate subject to a point load at the center of the plate's upper face.

 

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