Geodesic
On visualization of some thin shells and their stress-strain state
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2016), pp. 18-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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Shells that are reinforced by ribs of variable height can reduce harmful stress concentrations for analysis of the stress-strain state of a stiffened structure it is necessary to know not only the greatest deflection and the maximum normal stress but also to gain a picture of the deflection and the stress intensity across the shell. Moreover, the construction of the field deflection of the shell from the surface structure (and not from a plane) can be more clearly reflect the deformation process. This can be achieved by developing special software for further practical use and that has a convenient graphical interface to provide the results of calculations in a user-friendly form. The purpose of this paper is to describe imaging of a mathematical model of the stress-strain state of thin-walled shell structures that are reinforced by ribs of variable height. The results that are described in this paper have been obtained using the developed software module, which can be used in the practice of calculating shell structures in their design, as well as in scientific research related to the problems of nonlinear deformation of thin-walled structures. The geometric shape of the shell is defined using Lame parameters, and the shell itself and its supporting ribs are imaged as a shell of step-variable thickness. The contact of rib and shell occurs on the band that more accurately reflects the actual work construction. Refs 16. Figs 9.
Keywords: thin shells, stability and strength of the shells, visualization of thin shells, reinforced shells, ribs of variable height. 
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A. V. Aseev; A. A. Makarov. On visualization of some thin shells and their stress-strain state. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2016), pp. 18-31. http://geodesic.mathdoc.fr/item/VSPUI_2016_3_a1/

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