Guk N. Inverse stationary problems of thin-walled shells deformation.

The object is the observed thin-walled shell at the partly unknown parameters of its model. The aim is the development of inverse problem method for identification of unknown loads, boundary conditions, geometry, and physics-mechanical properties of the material for the observed shells. Method of inverse problems; generalized decision; method of finite elements; methods of global and local optimization. Deformation model of the observed thin-walled shell at loads, boundary conditions, geometric parameters, and damages in the form of holes of arbitrary type to be defined, is formulated using the method of inverse problems. Generalized solution of the direct problem in increments is presented by the integral-differential identity and describes the process of the shell deformation at possible solutions of the inverse problem. Continuity of the direct problem solution with possible solutions of the inverse problem is established, areas of solutions correctness of the direct and inverse problems are identified. Iterative algorithm for solving the inverse problems of shell theory, which combines the method of global optimization in space of solutions characteristics and the method of local optimization in the multidimensional space of discrete parameters of these decisions is formulated and implemented. Reconstruction process of unknown loads, boundary conditions, geometry, and thermo-mechanical properties of the material for the observed shells is studied; the possibility of constructing a realistic model of the deformed shell states that are close to critical ones is determined. Application spheres are training courses, machine industries, building.