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Information × Registration Number 0224U002499, 0120U105681 , R & D reports Title Analysis of the stress-strain state, vibrations and stability of compound shells of rotation, noncircular cylindrical shells with different cross sections and polygonal plates based on numerical and experimental approaches. popup.stage_title Head Grigorenko Olexander Ya., Доктор фізико-математичних наукHryhorenko Yaroslav M., Доктор технічних наук Registration Date 16-02-2024 Organization S.P. Tymoshenka Institute of Mechanics of the National Academy of Sciences of Ukraine popup.description2  An analysis of the stability of the equilibrium states of the shells of rotation of non-zero Gaussian curvature, located in the field of combined axisymmetric loads, was carried out. The analysis is based on the application of the dynamic criterion of stability, taking into account the non-linearity and heterogeneity of the pre-critical state and the mutual influence of the specified loads. Regions of stability of shells of positive, negative and sign-changing curvature at different combinations of distributed pressure and contour forces-moments are constructed. Applying the equation of the model, which is based on the hypothesis of a straight line, a solution to the problem of the bending of a cylindrical shell with beveled sections is obtained. The resulting two-dimensional boundary value problem is reduced to a one-dimensional one using spline approximation. The one-dimensional problem is solved by the method of discrete orthogonalization. The obtained results are compared with solutions based on classical theory. Shells at different values of the angles of sections were studied. In the spatial formulation, a numerical analysis of the stress state of non-thin cylindrical elliptical shells under various types of loading was carried out based on the method of approximation of functions by discrete Fourier series. Two cases of boundary conditions on the ends are considered - a simple bearing and a flat end and the type of applied external load - distributed longitudinal load and under the action of tangential stresses, according to the boundary conditions. The results of the numerical analysis are presented in the form of graphs and tables of the distribution of characteristics of the stress-strain state of the considered shells, and the characteristic regularities of this distribution are revealed. Product Description popup.authors Boreiko Nataliia P. Borysenko Maksym Yu. Rozhok Liliya S. Kharytonova Lesia V. Yaremchenko Serhii M. popup.nrat_date 2024-02-16 Close