About the authors
| 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 Pekerman E.E. – assitant 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 article | About imposition of Chebyshev‘s meshes by the surface as hyperbolic paraboloid |
| Abstract. | The article describes the method and algorithm of iterative process of numerical solution of the problem of the application of the Chebyshev grid with cells with equal sides on the saddle-shaped surface of the hyperbolic paraboloid. It is necessary to cut the flat elements made of soft materials, films and fabrics, for light building hanging with coatings known as the «tent structures». The proposed technique is based on change the curve side of cells on the straight line . In article presents a system of nonlinear equations that reflect the relationship between the coordinates of interconnected nodes in cell. The method involves the numerical solution of this system of three nonlinear equations for calculate the coordinates of the fourth vertex of cells when the three known. Furthermore, made analysis of limits the is application of methods are depending on the parameters and dimensions of the surface geometry cell network. In conclusion, the authors provide a block-diagram of the iterative calculation process. For practical use, was compiled a computer program as the implementation of the algorithm for solve the problem of the application of the Chebyshev grid. |
| 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., Pekerman E.E., Udler E.M. About imposition of Chebyshev‘s meshes by the surface as hyperbolic paraboloid // Izvestiya KGASU. 2013. №4(26) P.101-106. |
