ON THE APPLICATION OF CONSTANT DEFLECTION CONTOURMETHOD TO NON-LINEAR VIBRATION ANALYSIS OF ELASTICPLATES AND SHELLS

摘要

The present paper aims at establishing the validity of the constantdeflection contour (CDC) method to the nonlinear analysis of plates of arbitraryshapes vibrating at large amplitude. It begins with a review of the basic ideasdeveloped earlier by the present author. The deduction of the governing dif-ferential equations have been established. The author has made an attempt hereto develop the concept of constant deflection contour method and specifically tomake its introduction into the nonlinear analysis of plates. A combination of theconstant deflection contour method and the Galerkin procedure has beenemployed for solution. The numerical results obtained for the illustrative pro-blems are in excellent agreement with those of available studies. Applicationof the present analysis to structures with complicated geometry has also beenattempted in this paper. It has been demonstrated that this method provides apowerful tool to tackle problems involving structures with uncommon boundaries.The comparison of the present results with others strongly supports this. Theanalysis carried out in this paper may readily be applied to other geometricalstructures and as a byproduct the static deflection is also obtainable.