摘要：In this work we describe and analyze the application of a meshless method to static and dynamic calculation of Kirchhoff thin plate problems. The method is based on the use of blurred derivatives. Briefly, blurred derivatives allow to transform differential equations into an integral equation which does no contain derivatives of the unknown function. The final expression is an updating formula which only has physical meaning in a limit known as a functional integral, so that the technique is designated as the Functional Integral Formulation (FIM) of continuous problems. The application of this meshless method for modeling plate problems offers a number of advantages over the traditional finite element method. It considerably simplifies data preparation in highly irregular structures and allows to use “p-refinement” without modifying the net of nodes. In this work we first describe the basics of the method and its computational implementation. The method is the applied to a static problem comparing its performance with rectangular finite elements. Finally, its feasibility for calculation of free vibrations of plates is demonstrated.
