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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Ishanova V.I. – post-graduate student E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Udler E.M. – candidate of technical sciences, professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1
Title of the articleSweep the surface of shell circular in plan with the concave parabolic side
Abstract.In construction practice widely used structures of mechanically stretched soft shells, called in Russian awnings. The typical form for such structures is the surfaces of negative Gaussian curvature. An important issue in the design and fabrication is construction scans of such shells, which, as a rule, can’t be deployed on a plane. This article describes the methodology and numerical results of calculation of the sweep of the tent shell, which is formed by rotation of a parabola branch around the outer vertical axis. The technique is based on the using the Chebyshev meshes. Such meshes have cells with equal sides, that allows them to apply smoothly on curved surfaces due to the transformation of angles between the directions of the threads. The article analyzes effect of the geometric parameters of the shell and methods for the numerical calculation on the accuracy of the sweep of the shell. There are given the geometrical scheme and the system of non-linear equations to calculate the coordinates of nodes of the mesh, laid on the surface of the investigated form shell. Also, describes the method of calculating shape of sweep contour on the plane, as a result of the transformation of the constructed mesh from shell to the plane. There is an example of the shape’s sweep, allows to produce the shell, using two identical planar elements of mesh structure.
Keywords.Awning cover, soft shell, film-tissue structures fencing, mesh angle, properties of material to change form, mesh shell surface of negative Gaussian curvature, the hyperbolic paraboloid, the mesh of Chebyshev, tent membrane cutting of complex shapes.
For citations:Ishanova V.I., Udler E.M. Sweep the surface of shell circular in plan with the concave parabolic side // Izvestiya KGASU. 2014. №2(28) P.85-89.


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