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 Structural Mechanics of Engineering Constructions and Buildings

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№ 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 2-angale 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 2000-2017. 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 2000-2017 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 stress-strain state of joint-rod 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 stress-strain state, which occurs in structures-span hinge-rod cover warehouse balls and reagents. Numerical study of the mounting stress-strain state is made by finite element method, which is implemented in the computing complex SCAD. Also, see impact assess-ment 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 stress-strain state, geometric deviations spatial-span metal coating, installation im-pact, 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 arbi-trary number of panels. The asymptotic properties of solutions are found. The formulas for forces in the most com-pression and tie rods are obtained. KEY WORDS: truss, lattice, Maple, deflection. 23
Elenitskiy E.Ya. Analytical solution for beam structure with elasto-plastic 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 stress-strain state, borders of elastic-plastic zones are determined. A numerical analysis of linear and nonlinear formulation was presented. KEY WORDS: elastic-plastic material, elastic core section, longitudinal and transverse bending, equilibrium equations, boundary value problem, beam structure. 27
Buckling analysis  
Gil-oulbé 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 self-weight 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 out-of-plane 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 physical-mechanical 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 thin-walled 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 condi-tions 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 structures-fluid». Summary The article described in detail and shown in the test case, some specific features fluid simulation by finite ele-ments with the possibility of taking into account surface gravity waves in the calculation of related systems "hydraulic structure-fluid" 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 integro-differential equations with the kernel of Cauchy type. Condition of crack limit equilibrium is formulated on the basis of a two-parameter fracture criterion. KEY WORDS: bending strip (beam), temperature field, curvilinear crack, pre-fracture zone, cohesive forces. 59
Strength of flying apparatus  
Firsanov Val.V. Analysis of the “boundary layer “ stress-strain state in frames of the nonclassical cylindrical shell theory. Summary Two variants of a refined theory of determining the stress-strain 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 stress-strain 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 machine-building 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. Exper-imental 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. 76