Abstract

Aims of research. Investigation of a wave of unloading in a cylindrical network of nonlinear elastic fibers. Given the many options for wave propagation in cylindrical networks, an attempt is made to solve the problem of continuous waves. Methods. The movement of the network in the axial direction is cornsidered. nonlinear elastic fibers; To a basis of a cylindrical system are accepted: an individual vector i r parallel wave of unloading; cylindrical network; to a cylinder axis, j r · an individual vector of a tangent to cross-section section continuous waves of the cylinder, k · an individual vector perpendicular to the previous ones, x - is the coordinate in the direction of the axis of the cylinder, y - is the length of an arc of the circumference of the cylinder. The problem reduces to a hyperbolic system of equations under appropriate conditions. Since the wave speed increases when the net is stretched, the stretch wave will obviously be discontinuous. In order to study continuous waves, the problem of wave propagation is solved when unloading a pre-stretched cylinder from a nonlinear basis. The problem is solved by the method of characteristics. Results. The results are illustrated with calculations and can be used at calculations of various flexible pipes, including flexible drilling.

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Mexseti A Rustamova

Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan

Author for correspondence.
Email: mehsetir@gmail.com
9 B. Vahabzadeh St., Baku, AZ 1143, Republic of Azerbaijan

PhD in Physical and Mathematical Sciences, Leading Researcher, Associate Professor, Department of Wave Dynamics, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan

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