Main / Issues / Vol. 29, N 2 (2023) / Articles

Features of Joint Operation of a Membrane Coating Shell with Positive Gaussian Curvature and a Reinforcing Elementunder the Action of a Transverse Load

V. F. MushchanovFSBEI HE «Donbas National Academy of Civil Engineering and Architecture»E. V. KonopatskiyFSBEI HE «Nizhny Novgorod State University of Architecture and Civil Engineering»V. A. ShpinkovFSBEI HE «Donbas National Academy of Civil Engineering and Architecture»
Abstract: The article considers thin-sheet membrane coatings in the form of a flat and concave positive Gaussian curvature of the shell, supported by a stiffening element on a rectangular plan. An analytical description of the geometric models of a thin-sheet membrane coating, a concave positive Gaussian curvature on a rectangular plan, and a stiffening rib in the form of an I-beam is given. Using the Maple software package, computer models of thin-sheet membrane surfaces and a reinforcing element were generated, taking into account the required density of finite elements and shape. The resulting models were imported into the system of finite element analysis of the stress-strain state of structures SCAD Office for further numerical experiment. The results obtained make it possible to estimate, on the basis of refined approaches, the dimensions of a section of a thin-sheet membrane plate involved in joint work on transverse bending with a reinforcing element, depending on the ratio of their stiffness and changes in surface curvature.

Keywords: thin-sheet membrane, positive Gaussian curvature, stiffener, stress-strain state, computer surface model, point equation, mathematical model.

Pages: 63-82.

PDF

For citation: Mushchanov, V. F.; Konopatskiy, E. V.; Shpinkov, V. A. Features of Joint Operation of a Membrane Coating Shell with Positive Gaussian Curvature and a Reinforcing Elementunder the Action of a Transverse Load. – Text : electronic. – In: Metal Constructions. – 2023. – Vol. 29, N 2. – Р. 63-82. – URL: https://donnasa.ru/publish_house/journals/mk/2023-2/st_01_mushchanov_konopatskiy_shpinkov.pdf (date of access: 21.11.2024). – ISSN 1993-3517.

Issue Cover
Vol. 29, N 2 (2023)
Journal: Metal Constructions
Publish house: Donbas National Academy of Civil Engineering and Architecture