Numerical Study of Stress-Strain State of a Thin Anisotropic Rectangular Plate

Static bending of a thin rectangular anisotropic plate is considered in the framework of Kirchhoff hypotheses. At each point of the plate there is one plane of elastic symmetry parallel to the middle plane of the plate. It is assumed that the type of boundary conditions does not change along each of the straight sides. By applying of a modified method of spline collocation the two-dimensional boundary value problem for the determination of deflection is reduced to a boundary value problem for the system of ordinary differential equations, which is solved numerically. The results of numerical calculations for two variants of the boundary conditions on the contour of the plate are presented.