Calculation technique for aeroelastic oscillations of multibeam constructions

Mathematical models and techniques that describe transverse oscillations of constructions in a wind flow are considered. A technique is proposed, which allows one to determine the amplitudes of oscillations of multibeam constructions under wind resonance. Oscillations of a system with distributed parameters are described by a weakly nonlinear differential equation. The amplitudes of the limiting cycles of oscillations are determined using the energy approach. To describe the fluctuating component of aerodynamic forces, an empirical coefficient is introduced, which characterizes the energy contribution of these forces per one period of oscillations. In their structure, the calculation formulas are similar to those in European standards for calculating the response of constructions under the action of wind, but the formulas proposed are more universal and describe the physics of the process more adequately. [Application in view is to modern bridge-building.]