Zaitsev B. Termal elasticity of elements in toroidal electrophycical installations

Object of investigation - 2D and 3D strain models, methods of analysing thermal stress and optimisation as per strength criteria with account of contact phenomena and integrity of elements of toroidal electrophysical installations. The objective of the thesis was solving the scientific and engineering problem involving development and substantiation of effective models and methods of solving applied problems in strength of elements based on finite-element representations. The methodology comprises the FEM; numeric-analytical method of building geometric models for helical bodies; a method for introducing sections into the finite-element scheme. Optimisation is carried out by employing the hybrid adaptive search method, and the contact problems are solved by employing contact finite elements. A method of solving 3D boundary problems in thermal elasticity for helical bodies with cracks has been developed. A model for a flat stressed state of multilayer plates with disturbed interlayer links has been modified and investigated. Calculation models and methods for evaluating strength and optimal and rational building of solenoids, coils and windings have been developed. The affect of delamination of the composite structure on the 3D thermal stressed state of helical windings of torsatrons has been investigated for the first time. The problem of optimising the stressed state in flat Bitter coils has been solved. The solutions of the problem of optimising the geometry and thermal force load on toroidal solenoids with contacting coils with respect to strength criteria and integrity have been obtained for the first time. The design recommendations obtained are used for designing tokamaks and torsatrons. The research results can be used in electrophysical apparatus and power machine building.