Calculation of orthotropic flexible plates with complex configuration

The paper considers the calculation of orthotropic flexible plates with a complex configuration by the R-function method. In particular, the equations of condition of geometrically nonlinear anisotropic flexible plates introduced on the basis of the Lagrange principle are given, as well as the relations for moments and forces. These equations are solved under appropriate boundary conditions depending on the methods of fixing the edges of the plate in question. A computational algorithm for linearization of nonlinear systems of differential equations has been developed, and here we present the simplest method of linearization obtained by using the method of successive approximations for calculating orthotropic flexible plates with complex configurations using the Bubnov-Galerkin variational method and the structural method of R-functions.

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