Sharapata A. The ill-posed problems of non-stationary deformation of plates and shells

The object of research is the constructive elements in the form of circular plates, cylindric and sloping spheric shells. The aim of the research is to create effective methods of determining varying in time external non-stationary loads on the plates and shells and determining additional controlling loads which provide the implementation of the given criterion of the cylindric shell control. The methods of research are the methods of dynamic theory of plates and shells, the theory of Laplace integral transformation, Volterra integral equations and incorrect tasks of mathematical physics. The scientific novelty is: a) the method was further developed to solve new problems to determine axis-symmetric loads varying in time, which affect plates and shells, as well as new problems to control normal movement at an arbitrary point of a circular cylindric shell of a finite length; b) the nature of the loads to be determined is researched for the first time, conditions and boundaries of the effective control for the cylindric shell dynamic behaviour with the help of additional loads are analyzed. The practical value of the research in the area of plates is confirmed by Research Result Certificate issued by the design bureau "Svet Shakhtyora". The results obtained in the dissertation research can be used in machine building, in technological processes of material impulse treatment as well as in blasting in the process of drilling deep and ultra deep holes.