INFLUENCE OF ORTHOTROPY ON THE STRESS-STRAIN STATE OF QUADRANGULAR PLATES OF DIFFERENT SHAPES

摘要

A numerical-analytical approach based on the spline-collocation and discrete-orthogonalization methods is proposed. The approach makes it possible to analyze the static stress-strain state of orthotropic complex-shaped plates. For the plate shape to be taken into account, the coordinate transformation, which reduces the initial domain to a unit square, is applied. Using, as an example, a plate of trapezoidal shape, it is shown how the material properties affect the stress-strain state. It is also studied how the mutual orientation of the plate edges and orthotropy axes influence the distribution of the displacement fields for plates made of materials with essentially dissimilar elastic properties. The dependence of the convergence of the numerical results on mechanical and geometrical parameters of the plates is analyzed.