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. Mushchanova, E. V. Konopatskiyb, V. A. Shpinkova
a FSBEI HE «Donbas National Academy of Civil Engineering and Architecture»
b FSBEI HE «Nizhny Novgorod State University of Architecture and Civil Engineering»
Annotation: 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.
Link 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: 03.07.2024). (in Russian)
Vol. 29, N 2 (2023)Journal: Metal Constructions
Publish house: Donbas National Academy of Civil Engineering and Architecture