Open AccessGeometric nonlinear analysis of thin elastic paraboloid of revolution shaped shells with radial waves
Author(s) -
Mathieu Gil-oulbé,
Aleksey S. Markovich,
Prosper Ngandu,
Svetlana V. Anosova
Publication year - 2020
Publication title -
vestnik rossijskogo universiteta družby narodov. seriâ inženernye issledovaniâ
Language(s) - English
Resource type - Journals
eISSN - 2312-8151
pISSN - 2312-8143
DOI - 10.22363/2312-8143-2020-21-3-208-214
Subject(s) - paraboloid , shell (structure) , curvature , nonlinear system , stiffness , radius , geometry , radius of curvature , type (biology) , structural engineering , surface (topology) , physics , materials science , mathematics , engineering , geology , mean curvature , composite material , computer science , paleontology , computer security , quantum mechanics , mean curvature flow
From the old ancient types of roof and dome construction, various forms of shells have been discovered which attract special attention. A shell is a structure composed of sheet material so that the curvature plays an important role in the structural behaviour, realizing its spatial form. There are different types of shells, namely thick and thin shells. G. Brankov, S.N. Krivoshapko, V.N. Ivanov, and V.A. Romanova made interesting researches of shells in the form of umbrella and umbrella-type surfaces. The term nonlinear refers to a given structure undergoing a change in stiffness in its loaded state. There are basically three different types of nonlinearities: geometric, physical and contact (boundary condition nonlinearity). For further analysis of the stress-strain state, a paraboloid with an inner radius of 4 m and an outer radius of 20 m and the number of waves equal to 6 was considered. The test shell is made of reinforced concrete. The minimum load parameter at which the shell loses stability indicates a more than three times the margin.