Povalyaev S. The inverse problems of impulse deformation of cores, conical and cylindrical shells

The object of research is the constructive elements in the form of cores with variable cross-section, compound cores, conical and cylindrical shells. The aim of the research is to design methods of identification non-stationary loads, acting on cores and shells, and create methods to control their deflected mode. The methods of research are Laplace transformation, methods of Volterra integral equations solving, finite difference method, Tikhonov regularization method and Apartcin h-regularization method. Theoretical importance of the work results consist in design methods of new inverse problems solving in theory of cores and shells, wide used in technique. Practical importance of the results obtained in dissertation consist in possibility of their use to determine non-stationary loads in different engineering process based on impulsive energy sources use. The scientific novelty is: a) methods of new identification and control problems solving for core with variable cross-section, compound core, conical shell and cylindrical shell with non-symmetrical fixity conditions took their future development; b) for the first time the non-stationary loads identification methods, based on finite difference method, were developed; c) methods of new space-time load change identification problem solving were developed. The dissertation results are applied in Institute of machines and systems NAS of Ukraine and Ministry of industrial policy of Ukraine to design power machine elements. The results obtained in the dissertation also can be used in engineering industry, in impulse material processing and carrying out blasting operations in boreholes.