Mathematical Modeling of Antenna-Mast Structures With Aerodynamic Effects

Abstract

At the present stage of development of the systems for wireless transmission of information, including providing high-quality communication channels of the transport systems, the important issue is to increase the coverage area of the electromagnetic waves emitted by base stations. The area of the region of the coating increases with the increase in installation height of transmitter, and at the same time, communication structures with height more than 75 meters it is necessary to additionally determine the aerodynamic coefficients of the wind load through purging models of buildings in wind tunnels or on the recommendations developed by specialized organizations. Such events can significantly increase the final cost of the project for the construction of antenna-mast structures, so relevant and timely is the development of mathematical models of the behavior of antenna-mast structures under wind influence, which would determine the aerodynamic coefficients at the gathering of loads on the designed or operated facility, and to adequately predict the behavior and condition of the property at different stages of the life cycle. In the work as the equations that define the dynamic behavior of the design used three-dimensional non-stationary nonlinear equations of fluid dynamics considering viscous resistance of the type of Navier-Stokes equations, the solution of which it is proposed to use a numerical analytical method, which allows to represent and calculate the desired functions in the form of discrete values. The results obtained agree well with the results of using verified software and computing systems, as well as with analytical solutions to test problems. At the present day, it is important to study the behavior of traditional constructions under various operating conditions of the rolling stock, including an increase in the frequency of dynamic effects and the superposition of effects from different loads and oscillations to achievement of the high-frequency range. High-frequency vibrations in the elements of the railway track and the rolling stock are more likely to appear during the traffic on artificial structures, such as bridges with different design diagrams and made from both reinforced concrete and steel. In such cases, the forced and free oscillation frequencies of different composite constructions of transport infrastructure are superimposed.