Published since 1923
DOI: 10.33622/0869-7019
Russian Science Citation Index (RSCI) íà ïëàòôîðìå Web of Science
  • ARCHITECTURE OF BUILDINGS AND STRUCTURES. TOWN PLANNING
  • Catenoidal Shells
  • UDC 624.04.074.4:539.41:513.73
    Sergey N. KRIVOSHAPKO, e-mail: sn_krivoshapko@mail.ru
    Vyacheslav N. IVANOV, e-mail: i.v.ivn@mail.ru
    Peoples' Friendship University of Russia, ul. Miklucho-Maklaya, 6, Moscow 117198, Russian Federation
    Abstract. Architects, designing shells, use in their projects, as a rule, geometrical forms well proved themselves that constitute 5-10 % of the surfaces known to geometricians. But there is well known surface of revolution which has not a great popularity among architects and designers, practically, there are no examples of its application in building industry. It is a catenoidal surface. The mean curvature at all points of the catenoidal surface is equal to zero, hence, it is the minimal surface. The catenoid is formed by rotation of the catenary line around the Oz axis. The article gives an overview a review of the known methods of calculation of catenoidal shells and analysis the stress-strain state of five shells of rotation having the close geometrical parameters for the determination of optimal forms. A vast list of the used references containing 22 names helps to find the additional information.
    Key words: shell of revolution, catenoid, minimal surface, momentless theory of shells, variation-difference method of analysis, moment theory of shells.
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  • For citation: Krivoshapko S. N., Ivanov V. N. Catenoidal Shells. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering], 2018, no. 12, pp. 7-13. (In Russian).

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