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Information × Registration Number 0216U005928, 0111U002032 , R & D reports Title The solution of the two-dimensional problems of the theory of the thick inhomogeneous anisotropic shell on the basis of the spline- approximation popup.stage_title Head Vlajkov Georgij Georgijovych, Registration Date 22-03-2016 Organization National Academy of Sciences of Ukraine Technical center popup.description2 A single approach to solving the space problem on the stressed state of continuous circular cylinders with rotationally symmetric surface load for the two types of boundary conditions at the ends: opiranii simple and fixed. For the first variant of the boundary conditions can be separated variables along a generator using Fourier series. For the second variant of the boundary conditions applied spline along the length of the cylinder. The resulting one-dimensional objects are stable numerical method of discrete orthogonalization. At the same time on the axis of the cylinder are disclosed uncertainty solve equations. Results of calculations are shown on the graphs for circumferential and radial movement and longitudinal stresses. On the basis of three-dimensional theory of elasticity, the problem of free oscillations of anisotropic hollow cylinder with various boundary conditions at its ends. A numerical and analytical approach to problem solving. The initial equations of elasticity theory in partial derivatives by using spline collocation aprokismatsii and reduced to the eigenvalue problem for systems of ordinary differential equations of higher order in the radial coordinate, which is solved numerically stable discrete orthogonalization method with incremental search. The results of calculation of dynamic characteristics for the case of non-homogeneous and orthotropic cylinder material for certain types of boundary conditions at its ends. Product Description popup.authors Григоренко Олександр Ярославович Григоренко Ярослав Михайлович popup.nrat_date 2020-04-02 Close