Novel double coupled cable-damper-beam dynamic theoretical model of cable-stayed bridges and its internal resonance analysis

Yonghui An , Yunpeng Cai , Houjun Kang , Yunyue Cong

Abstract

The suppression of oscillations in cable-stayed bridges has been a formidable challenge in engineering. Although various types of dampers have been employed in the vibration suppression of cable-stayed bridges, obvious oscillations of cable-stayed bridges still can be observed. The possible reason is dynamic mechanisms of coupling system remain unclear, and the current dynamic theoretical models only consider the damper coupling with a single component (i.e., beam or cable) of cable-stayed bridges. To address this problem, a novel double coupled cable-damper-beam dynamic theoretical model of cable-stayed bridges and its internal resonance analysis is investigated in this paper. There are three innovation points. Firstly, a double coupled cable-damper-beam dynamic theoretical model, involves the direct coupling between the cable and beam ends and the indirect coupling between the cable and beam through dampers, is proposed, which is closer to the real case compared with the non-double coupled model. The geometric nonlinearity of cable and beam is considered in the modeling. Secondly, an important mechanism is revealed, i.e., the stiffness of damper affects the Hopf bifurcation of the model. The increase in damper stiffness enhances the coupling between cable and beam, which lead to the occurrence of the Hopf bifurcation and further induce the large vibration of cables. Thirdly, a very interesting phenomenon is discovered, i.e., reduction in the sag of the cable has almost no effect on its dynamic response, but it leads to a significant increase in the dynamic response of the beam. The phenomenon indicates that the sag of cable has a significant effect on the dynamic mechanism of cable-stayed bridges. Moreover, the proposed model can explore the mechanism of cable-damper-beam more clearly due to its double coupled characteristic, which lays a theoretical foundation for effective vibration suppression and provides the convenience for the optimization design of dampers.

Key Words

cable-damper-beam model; cable-stayed bridges; double coupled structure; nonlinear dynamic

Address

(1) Yonghui An, Houjun Kang, Yunyue Cong — Guangxi Laboratory of Whole Life Safety for Land-sea Corridor Engineering, Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures (Provincially and Ministerially Co-constructed), Guangxi University, Nanning, Guangxi, China
(2) Yonghui An — Department of Civil Engineering, Dalian University of Technology, Dalian, China
(3) Yunpeng Cai, Houjun Kang, Yunyue Cong — Scientific Research Center of Engineering Mechanic, School of Civil Engineering and Architecture, Guangxi university, Nanning, China.

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