DEFORMATION OF THE HELICAL TYPE WIRE STRUCTURES

Analysis of overhead power transmission lines (OPL) involves the simulation of statics and oscillation. Solving such problems strictly requires the proper accounting of the internal conductor structure, in particular for power safety and reliability systems of information-telecommunication supply of aerodromes and aircraft systems, as well as for overhead transmission lines subjected to intense wind, especially in icing conditions. Due to the complexity of wire structures, known issues arise in the estimates of their deformations, stiffness, bearing capacity, etc. For instance, the bending stiffness of the conductor can vary considerably. Consequently, the stiffness can vary along the conductor axis as well as in time. This paper proposes a new deformation model of wire structures similar to typical OPL conductors. Such structures include not only conductors and cables, but spiral clamps intended for tension, suspension, joining, protection, and repair of conductors. Based on energy averaging each wire layer is considered as an equivalent elastic anisotropic cylindrical shell. Therefore a conductor or a spiral clamp can be modeled as a system of shells nested into each other and interacting by means of pressure and friction forces. In the process of the study, calculations were made that made it possible to formulate equations for the matrices of flexibility and cruelty of spiral structures. The interaction problem for a tension clamp with an external wire layer of a conductor has been formulated and solved. Finally, the mechanism of the force transfer from the clamp on the conductor has been investigated.

Thermoelastic Solutions for Flexure of Anisotropic Cylindrical Shells

Solutions within the framework of linear uncoupled thermoelasticity, are presented here for simply supported infinitely long anisotropic cylindrical shell panels subjected to thermal gradient. Benchmark numerical results in the form of displacements and stresses are tabulated for certain angle-ply layup useful for the assessment of improved shell theories.

Analysis of Laminated Anisotropic Cylindrical Shell by Chebyshev Collocation Method

The governing equations of a laminated anisotropic cylindrical shell problem are a system of partial differential equations. The boundary conditions will complicate the problem. Thus, it is hard to handle the governing equations in the form of functions of independent variables. Herein, Chebyshev collocation method is proposed to achieve the exact solution theoretically of such a difficult problem. Finally, two examples with numerical results are presented. The preciseness and efficiency of the proposed Chebyshev collocation method for laminated anisotropic shell problem are highlighted.

About the Stabilization of Anisotropic Cylindrical Shell With Elastic Filling

The problems about the optimal stabilization of mechanical system of a potency of continuum have the large interest, both theoretical and practical. The solution of such problems is reduced to the nonhomogeneous integro-differential equation with the symmetric kernel. The essential results in the solution of problems of the optimum stabilization for mechanical systems of a potency of continuum are obtained [4], [5]. In work [4,5,6] the convergence of series of solutions and the finiteness of a target functional is proved uniformly. Solved a numerous problems of the optimal stabilization of vibrations of plates and rather slanting shells. In various statements the problem of the optimal stabilization for anisotropic cylindrical shells are solved in [6] etc. The given work is attempt to fill in a gap the problems of the stabilization by the problems about the optimal stabilization of vibrations of shells with filling, where the filling as Winkler’s elastic base, and for filling of Vlasov’s model [3] is considered.