Abstract
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.
Highlights
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
Ariarskyi with colleagues [10] investigated the advantages of umbrella-type shells in comparison with the shells in the form of their base surfaces of revolution. Shells of this type attract the attention of students of the Department of Civil Engineering of the Academy of Engineering of the RUDN University
Summary
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. The modern era of shell structures started in 1925 with the completion of the first thin reinforced concrete shell covering the Zeiss planetarium in Jena, Germany, this delayed the development of methods of strength analysis. It was, a few years earlier, in the beginning of the 20th century that throughout Europe several reinforced concrete shell structures arose [1], inspired by the new material reinforced concrete, patented and promoted by Joseph Monier, who was a French gardener.
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