Abstract
The nonlinear aeroelastic vibrations of the Windbelt System are described in the paper. The system works based on aeroelastic flutter principle. The long narrow ribbon with pinned supports at the ends is used as mechanical model. The analysis of aerodynamic forces for a thin rectangular cross-section of the ribbon is provided. Lateral-torsional oscillations of the system is derived, considering aerodynamic forces. Conditions for generation of oscillations are determined using Poincaré-Andronov-Hopf bifurcation. The critical speed, which defines dynamic instability (aeroelastic flutter), is determined as well. The influence of the tension force and other ribbon parameters on the critical speed is considered. The supercritical behavior of the system is investigated.
Highlights
Wind energy is one of the main areas of alternative energy
The airflow can disturb the static balance of the ribbon and lead to the excitation of its oscillation as an aeroelastic flutter [6] under certain conditions
The motion of the considered model is described by a system of equations for lateral-torsional oscillations of a string on hinged supports, which is loaded with distributed force and distributed moment [7]
Summary
Wind energy is one of the main areas of alternative energy. It is based on conversion of kinetic energy of the air masses into electrical, mechanical or thermal power. The transformation of airflow energy into electrical energy is usually accomplished through wind turbines. The possibility of producing electric energy using a wind generator, called “Wind Belt” [1,2,3,4,5], is being intensively studied. There are a few studies related to the generation of electric current in such devices in the existing scientific literature. The purpose of this work is to model the dynamics of the ribbon in the air flow, analyze its movement and the possibility of structure optimization
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