Modeling bending of wall panel multilayer structures

About the authors:

Yuriy E. Yakubovskiy, Dr. Sci. (Tech.), Professor, Department of Applied Mechanics, Institute of Transport, Industrial University of Tyumen, Tyumen, Russia; jakubovskijje@tyuiu.ru, https://orcid.org/0000-0002-6838-0631

Irina A. Donkova, Cand. Sci. (Tech.), Associate Professor, Department of Software, Institute of Mathematics and Computer Science, University of Tyumen, Tyumen, Russia; Associate Professor, Department of Applied Mechanics, Institute of Transport, Industrial University of Tyumen, Tyumen, Russia; i.a.donkova@utmn.ru, https://orcid.org/0000-0003-1151-4931

Abstract:

Precast-monolithic frame house building, use of stay-in-place formwork technology, improvement of concrete quality by means of additives and introduction of new materials are all innovations in the scope of high-rise construction. Thin wall panels formed by outer layers of structural steel sections and inner layers of concrete are used as structural elements of frame structures. The solution of structure elements strength problems is related to a stress-strain state analysis. Significant difficulties arise in calculation of structures having a complex geometric shape with different combinations of loads; such structures include thin wall composite systems. Reinforcing structural elements in composite plates and shells, such as stiffeners and rebars, makes the structure piecewise inhomogeneous. Constructive heterogeneity occurs in anchor connection of layers. Mathematical modeling of multilayer structures follows the methodo­logy of the composite plates and shells theory. The nonlinear straining mathematical model takes into account shear stresses in joints. The problem was solved as the force functions using trigonometric Fourier series. A composite structure formed by three plates with anchor connections of layers has been calculated. The outer layers are steel, and the material of the inner layer is concrete filler. The variation effect of the forces that fall on each individual anchor depending on the stiffness of the anchor connections has been studied. The stress-strain state of the steel-concrete structure has also been studied. The effects associated with variations in the stress state due to the relationship of the steps between the anchors in two orthogonal directions, or the number of anchor connections in the joints has been revealed. Anchor connections ensure compatibility of different layers of a composite construction, but there are problems of strength of the anchor due to shear forces in the anchor areas where the loads are concentrated.

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