Salo V. Numerical - analytical method of solving the problems of statics non-thin orthotropical shells with holes of any sizes and forms

Elastic homogeneous and non-uniform on thickness orthotropical shells with holes of any sizes and forms. Creation of scientifically proved, universal and effective numerical-analytical method of computation three-dimensional stress-strained state statically loaded homogeneous and continuously non-uniform on thickness non-thin orthotropical shells with holes of any sizes and forms. Reissner's variational principle, I.N. Vekua's method, R-functions theory. On the basis of the mixed Reissner's variational principle and the general equations of the theory of elasticity the variational statement of the spatial boundary problems of the statics orthotropical shells of any thickness is given. The new method of computation three-dimensional stress-strained state statically loaded homogeneous and continuously non-uniform on thickness non-thin orthotropical shells with holes of any sizes and forms, are created. It is formulated and the sufficient test of convergence of Ritz's method is proved when searchingof a point of stationary non-extreme Reissner's functional. The posteriori two-sided estimation of exactitude of the approached solutions of the mixed variational problems is offered. New structures of solutions, which take into account the change of the metrics on thickness of the orthotropical shells and precisely satisfy to all boundary conditions of the studied problems, are created. Results of work are introduced into "SKB Ukrelektromash" (Kharkov). The developed method may find effective application at designing shell's elements of designs in different branches of engineering.