On The Application Of Constant Deflection Contour Method To Non-Linear Vibration Analysis Of Elastic Plates And Shells

  • M. M. Banerjee*Email author
Part of the Springer Proceedings in Physics book series (SPPHY, volume 126)

The present paper aims at establishing the validity of the constant deflection contour (CDC) method to the nonlinear analysis of plates of arbitrary shapes vibrating at large amplitude. It begins with a review of the basic ideas developed earlier by the present author. The deduction of the governing differential equations have been established. The author has made an attempt here to develop the concept of constant deflection contour method and specifically to make its introduction into the nonlinear analysis of plates. A combination of the constant deflection contour method and the Galerkin procedure has been employed for solution. The numerical results obtained for the illustrative problems are in excellent agreement with those of available studies. Application of the present analysis to structures with complicated geometry has also been attempted in this paper. It has been demonstrated that this method provides a powerful tool to tackle problems involving structures with uncommon boundaries. The comparison of the present results with others strongly supports this. The analysis carried out in this paper may readily be applied to other geometrical structures and as a byproduct the static deflection is also obtainable.


constant deflection contours iso-deflection curves contour integration and Green's function 


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