Determination of generalized displacements in an orthotropic plate under the action of concentrated force based on the {1,0}-approximation

We consider the problem of statics for an orthotropic plate based on the generalized theory in the version {1,0}-approximation. Within the framework of this approach, the sought and specified functions are presented as Fourier series in Legendre polynomials in the thickness coordinate. The fundamental solution of the problem for the case of a plane stress state is obtained using the twodimensional integral Fourier transform. Numerical studies of the effect of elastic constants of an orthotropic material on generalized displacements are carried out.