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. | 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 | An approximate calculation of the surface area of an awning cover with numerical representation of the geometry |

Abstract. | In the design process of tent structures it is necessary to calculate the consumption of materials in the soft shell. However in the available literature the author has not found a description of methods of calculations for shells not trivial forms. In this regard we propose a new approach to solving the problem. An algorithm for calculating the area of a complex curved surface of a soft shell, given by an array of heights at the nodes of a square horizontal coordinate mesh. Within projection of this mesh cell on the shell its geometry has a surface of negative Gaussian curvature and modeled by the pyramid with the apex at the center of the curved surface of the cell. The coordinates of the vertices are calculated as the arithmetic mean of the coordinates of the cell sites. The side surface of the pyramid defined as the sum of the areas of four triangles taken as a shell area within the coordinates of the cell mesh. Seeking envelope area is calculated as the sum of the squares of all the cells in the horizontal projection of the shell borders. As, an example, provided the procedure of calculating the surface cell’s area, in the Pascal programming language. The comparison of calculation of the proposed algorithm with some exact solutions. The calculation results differ very little. This proves the possibility of wider use in engineering practice. |

Keywords. | soft shell, fabric covering, the curved surface, the mesh model of the surface, the area of the curved surface, numerical methods, computer programming. |

For citations: | Udler E.M. An approximate calculation of the surface area of an awning cover with numerical representation of the geometry // Izvestiya KGASU. 2016. №3(37) P.168-171. |