G. P. Urusova

National Academy of Sciences of Ukraine, Kievo, Kyiv City, Ukraine

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Publications (18)0.67 Total impact

  • E. Bespalova, G. Urusova
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    ABSTRACT: The paper presents a solution of the Lame problem on equilibrium of an elastic parallelepiped using the complete systems method. The feature of the method lies in the fact that it makes it possible to reduce the initial three-dimensional problem to a new structure, which is the system of three interconnected one-dimensional problems. The solutions obtained by the technique developed reveal high accuracy compared with solutions of the Lame problem by other methods. This fact supports the efficiency of the approach used. The algorithm developed is employed to evaluate approximate models of the elasticity theory using, as an example, determining stiffness of vibroinsulators.
    International Journal for Computational Methods in Engineering Science and Mechanics 02/2013; 14(2):159-167.
  • E. Bespalova, G. Urusova
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    ABSTRACT: The influence of alternating curvature on the dynamic instability domains of shells under combined static and dynamic loading is studied. It is shown that the range of safe harmonic loads for shells of revolution with sinusoidal generatrix can be extended compared with cylindrical shells
    International Applied Mechanics 01/2013; 49(5).
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    ABSTRACT: An approach is proposed to define the principal domain of dynamical instability of shell systems of revolution of general form under stationary loading. The approach is used to study the properties of the dynamical stability of shells of revolution with alternating curvature in comparison with those of cylindrical shells. It is demonstrated that the use of shells with corrugated generatrix, unlike shells with constant thickness, makes it possible to considerably decrease the domain of unsafe parameters of a harmonic loading.
    Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky. 01/2011; 10(10).
  • E. I. Bespalova, G. P. Urusova
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    ABSTRACT: The paper outlines an approach to identifying the principal dynamic-instability domain for systems composed of shells of revolution with different shapes under axisymmetric periodic loading. The original problem is reduced to one-dimensional eigenvalue problems with respect to the meridional coordinate. Results of calculations for a specific shell system are presented Keywordsshell system–periodic load–dynamic instability domain
    International Applied Mechanics 01/2011; 47(2):186-194.
  • E. I. Bespalova, G. P. Urusova
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    ABSTRACT: The torsion problem for a rectangular prism with general anisotropy loaded on the lateral surface is solved using the advanced Kantorovich–Vlasov method, which reduces the original three-dimensional problem to three coupled one-dimensional problems, each for one of the variables of the domain. The warping of the cross-section and the deformation of the axis of the prism for different types of anisotropy are analyzed
    International Applied Mechanics 01/2010; 46(2):149-158.
  • E. I. Bespalova, G. P. Urusova
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    ABSTRACT: An approach to studying the vibrations of statically loaded nonthin inhomogeneous anisotropic shells of revolution with complex geometry is developed. The approach is based on a nonclassical theory of shells that takes into account transverse shear and reduction. The expediency of allowing for these factors in the analysis of natural frequencies is confirmed by specific examples Keywordslayered shells of revolution-prestress-nonclassical model-transverse shear-reduction-numerical analytical solution
    International Applied Mechanics 01/2010; 46(3):279-286.
  • E. I. Bespalova, G. P. Urusova
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    ABSTRACT: A method of studying the natural vibrations of highly inhomogeneous shells of revolution is developed. The method is based on a nonclassical theory of shells that allows for transverse shear and reduction. By separating variables, the two-dimensional problem is reduced to a sequence of one-dimensional eigenvalue problems. The inverse iteration method is used to reduce these problems to a sequence of inhomogeneous boundary-value problems solved by the orthogonal sweep method. The capabilities of the method are illustrated by solving certain representative problems and comparing their solutions with those obtained using the three-dimensional theory of elasticity, the classical theory of shells, and the refined Timoshenko model
    International Applied Mechanics 01/2007; 43(9):980-987.
  • E. I. Bespalova, G. P. Urusova
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    ABSTRACT: We propose a procedure for the solution of the contact problem for preliminarily loaded anisotropic shells of revolution as applied to the evaluation of the stressed state of pneumatic tires. We use the principal relations of the nonclassical model of shells with regard for all types of transverse deformation. The preliminary stresses induced in the shell by axisymmetric loads of various kinds are taken into account as parametric terms in the linearization of the initial geometrically nonlinear equations of medium bending. The corresponding two-dimensional boundary-value problems are solved with the help of a combination of analytic and numerical approaches. By using a structure simulating pneumatic tires as an example, we study the influence of internal pressure on the size of the contact zone with rigid base, the characteristic of loading, and static stiffness.
    Strength of Materials 01/2007; 39(3):275-283. · 0.23 Impact Factor
  • E. I. Bespalova, G. P. Urusova
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    ABSTRACT: A nonclassical model of shells that accounts for transverse shears and reduction is used to develop a method for solving the contact problem for inhomogeneous anisotropic shells of revolution subject to a field of mechanical and thermal loads. The prestresses are described by parametric terms in the linearized geometrically nonlinear equations of the second-order theory of flexible shells. The influence of the prestressed state of shells interacting with a flat surface on the contact area and the distribution of contact pressure is analyzed. Some computational features of the technique are discussed
    International Applied Mechanics 09/2006; 42(10):1137-1144.
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    ABSTRACT: A spatial model and a refined model based on the straight-line hypothesis are used to analyze the stress state of nonthin elliptic cylindrical shells with certain end conditions for different thicknesses and aspect ratios. The results obtained are compared, and the validity range of the refined model is established
    International Applied Mechanics 01/2006; 42(8):886-894.
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    ABSTRACT: A method is proposed to solve the contact problem for laminated anisotropic shells of revolution. The method is based on a two-dimensional model that accounts for transverse shears and reduction. Also the method is based on the method of successive approximations, the generalized pseudo-force method, and a numerical-analytical method of solving boundary-value problems. The results obtained for a cylindrical shell of complex thickness structure are compared with those obtained in three-dimensional formulation
    International Applied Mechanics 04/2005; 41(5):520-525.
  • A. T. Vasilenko, G. P. Urusova
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    ABSTRACT: The class of stress problems for orthotropic shells of revolution loaded along narrow ring zones or by forces concentrated in the meridional direction is analyzed on the basis of a refined model. It is established that the solutions of these two problems for essentially anisotropic shells do not fully agree
    International Applied Mechanics 01/2004; 40(2):213-217.
  • A. T. Vasilenko, G. P. Urusova
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    ABSTRACT: An approach is proposed for refined solution of stress problems for elastic systems consisting of coaxial shells of revolution. Transverse shear and reduction are taken into account. Multivariant calculations made for orthotropic cylindrical shells with elliptical end-plates allow us to analyze the influence of the semiaxis ratio and intermediate supports on the stress–strain state of the shell systems under consideration
    International Applied Mechanics 01/2003; 39(5):587-594.
  • A. T. Vasilenko, G. P. Urusova
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    ABSTRACT: The problem on the stress state of thin layered conic shells consisting of rigidly joint layers is considered. The material of the layers has one plane of elastic symmetry. The thickness of each layer in the meridional direction varies linearly in such a manner that it is proportional to the distance from the axis of rotation to the coordinate surface and varies arbitrarily in the circumferential direction. The desired functions are represented by the product of a power function of the radial coordinate and the unknown function of the central angle in the cross section. This makes it possible to separate out the radial coordinate and to derive the resolving system of ordinary differential equations, which is solved numerically. An example of the solution of a specific problem is given.
    International Applied Mechanics 01/2000; 36(5):631-638.
  • A. T. Vasilenko, G. P. Urusova
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    ABSTRACT: An approach is developed for determination of the strain state of elastic systems of layered orthotropic shells of revolution with elastic slip layers when the difference in the tangential displacements of the contact-surface layers is proportional to the tangential stress with a coefficient dependent on the arc length of the generatrix. A resolving system of differential equations and the conditions of the mating sections are obtained for the systems. Results are presented for the solution of specific problems.
    International Applied Mechanics 01/1999; 35(9):910-916.
  • A. T. Vasilenko, G. P. Urusova
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    ABSTRACT: The problem of a stressed state in elliptic plates has been considered in general for a rigid contour fixation. It is much more difficult to obtain a solution for the freely supported plates, even for isotropic materials. In this paper we suggest an approach for defining the stressed state of thin elliptic plates with layered structure under the condition of a freely supported contour. The solution is obtained in a rectangular cartesian coordinate system. The displacements, which are the fundamental unknowns, are given in the form of polynomials with unknown coefficients defined by a system of algebraic equations. The resolving equations and three out of the four boundary conditions are satisfied precisely. One boundary condition, is satisfied by means of collocation method of separate points of the contour. Estimation of the accuracy of the suggested approach is carried out by comparing the obtained results with the known ones. The problem of deformation of a twolayered plate has been discussed, in which the principal direction of elasticity does not coincide with the coordinate directions.
    Mechanics of Composite Materials 01/1997; 33(4):349-355. · 0.44 Impact Factor
  • A.T. Vasilenko, G.P. Urusova
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    ABSTRACT: In terms of the refined model the authors consider a class of problem on stress state of orthotropic revolution shells loaded by the efforts along ring belts of small width or concentrated in meridian direction. It is established that conformity of results of solution of these problems for essentially anisotropic shells is due to certain restrictions.
    Prikladnaya Mekhanika. 2(2).
  • E.I. Bespalova, G.P. Urusova
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    ABSTRACT: The paper addresses an approach for the investigation of free vibrations of essentially inhomogeneous revolution shells. The method is based on nonclassical model of shells which allows for the transverse shears and compression. The corresponding two-dimensional problem is reduced to a series of one-dimensional problems for eigenvalues by the method of separation of variables.
    Prikladnaya Mekhanika. 9(9).