Structural Mechanics of Engineering Constructions and BuildingsStructural Mechanics of Engineering Constructions and Buildings1815-52352587-8700Peoples’ Friendship University of Russia (RUDN University)3202610.22363/1815-5235-2022-18-3-269-279Research ArticleInvestigation of waves in the strengthened netAgalarovJafar H.<p>Doctor of Physical and Mathematical Sciences, Professor, chief researcher, Department of Wave Dynamics</p>gular-gulshan@rambler.ruhttps://orcid.org/0000-0002-4875-8246MammadovaGuldasta Akif<p>Candidate of Physical and Mathematical Sciences, Associate Professor, leading researcher, Department of Wave Dynamics</p>gular-gulshan@rambler.ruhttps://orcid.org/0000-0002-7753-1593RustamovaMexseti Akif<p>Candidate of Physical and Mathematical Sciences, leading researcher, Associate Professor of the Department of Wave Dynamics</p>mehsetir@gmail.comhttps://orcid.org/0000-0001-5192-1166Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan2809202218326927928092022Copyright © 2022, Agalarov J.H., Mammadova G.A., Rustamova M.A.2022<p style="text-align: justify;">The movements of a reinforced net are considered. Mesh systems are used in various areas of modern technology, aviation, fishing, and construction. In recent years, much attention has been drawn to the complete equations that describe the motion of a deformable thread. In accordance with the studied task, the reinforcement of the net is carried out by adding terms in the equations of motion. In the planar case, the static behavior of the structure is investigated, and equations of motion are derived that allow the study of motion. The problem of wave propagation in deformable filament systems, taking into account a significant deviation of the filament shape from the original rectilinear one, is mathematically very difficult, since the equations of motion are a system of nonlinear differential equations in partial derivatives. To solve the problem, the method of characteristics is used. As well the method of characteristics solves the problem of the propagation of unloading waves (in the case of a load, shock waves arise). Depending on the velocity distribution at the boundary, the distribution of the strain constant on the characteristics is determined. The results are constructed by numerical integration of the integrals of the characteristics found by the method. The solution using the characteristic equations shows the occurrence of traveling waves.</p>netwave velocitycharacteristics methoddeformationstressсетьскорость волныметод характеристикдеформациянапряжение[Agalarov J.H., Mamedova G.A., Gasanova T.J. Unloading wave in a cylindrical net. Mechanics of Solids. 2019;54(8):1138–1143. https://doi.org/10.3103/S0025654419080028][Rustamova M.A. Unloading wave in the cylindrical network from nonlinear elastic fibers. Structural Mechanics of Engineering Constructions and Buildings. 2019;15(2):149–157. https://doi.org/10.22363/1815-5235-2019-15-2-149-157][Agalarov J.H., Gulieva M.A. Movement equation of a net in the plane. Proceedings of the Academy of Sciences of the Azerbaijan SSR. 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