Asymptotic approach to flutter control via hysteretic absorbers

Abstract eng:
The flutter control problem in long-span suspension bridges is discussed. A reduced-order bridge model (see Fig. 1) is augmented by the degree of freedom of a hysteretic mass nonlinearly tuned to mitigate the limit cycle oscillations (LCO) when the wind speed is above the flutter speed. The model comprises the plunge (vertical) and pitch (torsional) motions while the aerodynamic lift and moment are governed by a quasi-steady formulation. The restoring force of the absorber is characterized by linear and cubic elastic terms together with a hysteretic part governed by the Bouc-Wen model. The method of multiple scales is adopted to obtain an asymptotic approximation of the LCO behavior. An optimization procedure based on the Differential Evolutionary Algorithm is employed to obtain the set of constitutive parameters that lead to an optimal mitigation of the wind-induced oscillations.

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