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Information × Registration Number 0221U105574, 0119U002517 , R & D reports Title Developement of mathematical methods for research of applied problems popup.stage_title Head Nikolaiev Oleksii H, Registration Date 22-07-2021 Organization National Aerospace University "Kharkiv Aviation Institute" popup.description2 The development of a generalized Fourier method on a two-connected region bounded by the surfaces of elliptical and parabolic cylinders is obtained. For this purpose, new integral images of basic harmonic functions in an elliptical cylinder are constructed and new addition theorems of harmonic functions for parabolic and elliptical cylinders are obtained. The Green's function is constructed in a nonclassical domain - a space with a spherical segment. A new mathematical model of the adhesive bonding joint is proposed, in which a multiparameter model of the elastic base is used to model the stress state of the adhesive layer. A new mathematical model of the stress state of the adhesive joint of coaxial pipes is proposed, which is based on the hypothesis of the presence of only axial displacements of the layers. An analytical solution is constructed and the stress state of the inlet adhesive joint of a round plate with a circular hole with a coaxial round overlay under uniform stretching is investigated. On the basis of atomic functions, nonstationary wavelets are constructed and the efficiency of their application in data processing is investigated. Modeling of multiphase queuing systems and comparison of analytical and numerical results are carried out. The application of the method of analytical procedure to multilevel systems for decision-making in various socio-economic spheres has been extended. A method for obtaining an analytical solution for participants in a two - level exchange model based on the application of the Z - transform method to Markov chains is proposed. The application of the criterion method of analytical stochastic procedure in finding the weight coefficients of the objective function of wing optimization from a hybrid composite material is proposed. An analysis of the dynamics of a nonlinear mechanical system with two degrees of freedom, which is under the action of harmonic excitation is carried out. Product Description popup.authors Kuznichenko Volodymyr M Kurennov Sergiy Sergiyovych Makarichev Viktor O Nikolaev Oleksey H Prohorova Olga M Savchenko Nina V popup.nrat_date 2021-07-22 Close