Aeroelastic galloping response of square prisms: The role of time-delayed feedbacks

In this paper, the aeroelastic galloping responses of an elastically mounted square prism is investigated based on a theoretical model, principally focusing on the effect of additional time-delayed feedbacks. The results have indicated that the time-delayed feedback force plays a dramatic role in controlling the aeroelastic galloping responses. With increasing gain of the feedback force, the amplitude of galloping responses would always increase. With increasing time delay of the feedback force, however, it is found that galloping responses of the square prism may be either amplified or suppressed, depending on the value of the time delay chosen.