Геометрически нелинейный изгиб функционально-градиентных пластин на упругом основании

Abstract

The method of solving nonlinear bending problem for plates under lateral loading and resting on elastic foundation of the Winkler-Pasternak's type is proposed. Mathematical statement is based on classical plate theory in Von Karman sense. The increment loading method, Newton-Raphson iteration scheme and Ritz’s method in conjunction with the R-functions theory are employed in the present analysis. It made possible to investigate a stress-strain state of complex form plates. Investigation of rectangular plate with elliptical free and simply supported cuts is fulfilled. A comparison of the obtained results with available is carried out, what confirms the validation of the proposed method.