
№ 3, 2017

C o n t e n t s and A b s t r a c t s
Geometrical investigations of middle surfaces of thin shells 

Ivanov V.N.The forming of the surfaces on the curved counter planes. Summary The article concerns the questions of the forming of the space thin walled structures on curvilinear planes. They may be used for constructions of the social buildings, exhibition, on sport structures. This method may be used for forming surfaces at 4, 3 and 2angale plans with curvelinear supporting contour lines and on the planes of closed curves as circle or ellipse as well.
KEY WORDS: supporting curves, supporting points, curved counter planes, forming of the surfaces on the curved planes. 
3 
Analysis of thin elastic shells  
Vladimir Jean PAUL. On the investigations of ruled helical shells in 20002017. Summary Currently, much attention is paid to development of infrastructure, which is associated with an increase in construction volumes and reducing the area of development, as well as introducing new architectural forms in the typical structures of socio economic purpose. The peak of publication on analytical methods of linear analysis of helicoidal shells was in the 1950s. In this work, detailed review of the literature on the topic of the geometry, the static analysis, and the use of ruled helicoidal shells in the 20002017 years is presented.
KEY WORDS: ruled helical surfaces, methods of strength analysis, helicoid, pretwisted beam, shell. 
9 
Analysis and design of building structures  
Yugov А.М., Bоndarev А.B. Mounting stressstrain state of jointrod coverings of department of balls and reagents. Summary This article gives an overview of previously carried out work on the accuracy of the calculation, determine the mounting loads of metal structures. Given the results of the study of the mounting stressstrain state, which occurs in structuresspan hingerod cover warehouse balls and reagents. Numerical study of the mounting stressstrain state is made by finite element method, which is implemented in the computing complex SCAD. Also, see impact assessment values installation effort on the carrying capacity of the individual rods coated. Presentation of the efforts made in the form of histograms. The values obtained efforts indicate that the development of measures necessary to reduce the value of the initial forces generated during assembly cover and respectively the geometrical deviations in the coating in its design.
KEY WORDS: mounting stressstrain state, geometric deviations spatialspan metal coating, installation impact, mathematical modeling 
12 
Kirsanov M.N. On the choice of the lattice girder. Summary The analytical solution to the problem of deflection of statically determinate flat truss with diagonal bars is obtained. The solution is compared with a similar of the truss with a triangular lattice. Solution is prepared in the system of computer mathematics Maple. The method of induction is used for generalization the solution to an arbitrary number of panels. The asymptotic properties of solutions are found. The formulas for forces in the most compression and tie rods are obtained.
KEY WORDS: truss, lattice, Maple, deflection. 
23 
Elenitskiy E.Ya. Analytical solution for beam structure with elastoplastic
properties of material. Summary The differential equations are received and the new exact solution of a problem for a rectangular cross section and flat statically determination beam structure at action of longitudinal and transvers loadings is constructed. Three characteristic areas of the beam, distinguished by schemes of position of elastic core section were considered. All the components of the stressstrain state, borders of elasticplastic zones are determined. A numerical analysis of linear and nonlinear formulation was presented.
KEY WORDS: elasticplastic material, elastic core section, longitudinal and transverse bending, equilibrium equations, boundary value problem, beam structure. 
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Buckling analysis 

Giloulbé Mathieu, Shambina S.L., Dau Tyekolo. Theoretical approach for the geometrically nonlinear buckling analysis of sinusoidal velaroidal shells. Summary The main subjects of the article are theoretical strength and buckling analyses of a sinusoidal velaroidal shell subjected to its selfweight and uniformly distributed load in geometric nonlinearity. A short history of finite element applications to shell buckling is given. The finite element method is used in its matrix formulation. The elastic stiffness matrixes in the local coordinate system of the membrane element are defined in their general form. The outofplane geometric stiffness matrix for the plate along the same lines is derived.
KEY WORDS: sinusoidal velaroidal surfaces, nonlinear buckling analysis, linear elastic stiffness matrices, normal stiffness, geometric stiffness matrix, chain rule differentiation. 
35 
Numerical methods of structures’ analysis 

Klochkov Yu.V., Nikolaev A.P., Kiseleva T.A., Andreev A.S. A mathematical model of discretization of articulated axisymmetric shells with different values of physicalmechanical characteristics of materials. Summary It is described an algorithm for calculating axisymmetric articulated shells with different physical and mechanical characteristics of materials based on the FEM using scalar and vector interpolations of displacement fields. As part of the sampling, a curved fragment of the meridian of the shell with nodes i and j is used. The analysis of VAT thinwalled structures made of heterogeneous materials in the form of a cylinder, articulated to the sphere and ellipsoid is fulfilled.
KEY WORDS: articulated axisymmetric shell, scalar interpolation, vector interpolation, finite element, the conditions of articulation of the shells. 
41 
Dmitriev D.S. Features of the use of finite elements with possible reflection of surface gravity waves in the process of dynamic calculating coupled systems «hydraulic structuresfluid». Summary The article described in detail and shown in the test case, some specific features fluid simulation by finite elements with the possibility of taking into account surface gravity waves in the calculation of related systems "hydraulic structurefluid" in the software package ANSYS Mechanical. Formulate conclusions about the applicability of these elements to hydraulic problems class.
KEY WORDS: Mathematical modeling, numerical methods, finite element method, associated production, surface gravity waves, acoustic elements, dynamic analysis, FLUID80, FLUID30, ANSYS Mechanical. 
50 
Problems of thermoelasticity 

Mustafayev A.B. Inhibition of curvilinear cohesive crack growth in a bending strip (beam) by induced heat stress field. Summary We consider a temperature changes near end of curvilinear crack with end zones of material cohesive forces in bending strip (beam). The aim of the local temperature changes is a delay or inhibition of crack growth. Boundary value problem for equilibrium of curvilinear crack under the action of external bending loads, induced thermoelastic stress field and tractions in bonds, preventing its disclosure, is reduced to a system of nonlinear singular integrodifferential equations with the kernel of Cauchy type. Condition of crack limit equilibrium is formulated on the basis of a twoparameter fracture criterion.
KEY WORDS: bending strip (beam), temperature field, curvilinear crack, prefracture zone, cohesive forces. 
59 
Strength of flying apparatus 

Firsanov Val.V. Analysis of the “boundary layer “ stressstrain state in frames of the nonclassical cylindrical shell theory. Summary Two variants of a refined theory of determining the stressstrain state in the boundary zone of a cylindrical shells are represented. As an example the calculations of a shell with rigidly restrained on two edges and under the influence of local distributed and concentrated loadings is considered. The Comparison of calculation results of the stressstrain state shell obtained in this work and by the classical theory is given.
KEY WORDS: closed cylindrical shell, two variants of refined theory, approximation by polinomials, virtual principle of Lagrange, edge conditions, Laplace transform, local loading, the characteristic equation, “boundary layer”, normal transverse stress. 
71 
Analysis and design of machinebuilding structures 

Morozov Yu.А., Verkhov E.Yu., Krutina E.V. Effect of the form of blank on
quality of indicator presswork. Summary The possibility of obtaining forged products from billets of rectangular shape with cut and uncut edges. Experimental measurements of elastic distortion of the side walls from the ideal contour details. Recommendations for the design of die tooling and improve the quality of extractable product box shapes.
KEY WORDS: sheet extract; coordinate grid; distortion of a form; stability loss. 
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