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Earthquake Engineering Research - HKU Libraries - The University ...

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Proceedings of the International Conference on<br />

Advances and New Challenges in <strong>Earthquake</strong><br />

<strong>Engineering</strong> <strong>Research</strong>, Hong Kong Volume<br />

ACTIVE CONTROL STUDY OF CABLE-STAYED TING KAU<br />

BRIDGE UNDER STOCHASTIC EARTHQUAKE EXCITATION<br />

Y. Q. Ni 1 , J. M. Ko 1 , Z. L. Huang 2 , J. Y. Wang 1<br />

1 Department of Civil and Structural <strong>Engineering</strong>, <strong>The</strong> Hong Kong Polytechnic <strong>University</strong>,<br />

Hung Horn, Kowloon, Hong Kong<br />

2 Department of Mechanics, Zhejiang <strong>University</strong>, Hangzhou 310027, P. R. China<br />

ABSTRACT<br />

Structural control provides an efficient means for protection of cable-stayed bridges against<br />

earthquakes, wind and other hazards. Although the concept of active control of cable-stayed bridges<br />

has been proposed at the end of the seventies, studies on active seismic response control of cablesupported<br />

bridges referring to detailed bridge models have evolved only in recent years. In this paper,<br />

a stochastic optimal control strategy is developed for seismic response mitigation of cable-stayed<br />

bridges with use of active mass drivers (AMDs). <strong>The</strong> cable-stayed Ting Kau Bridge in Hong Kong is<br />

selected as a paradigm to demonstrate the seismic control efficacy of the proposed strategy. Simulation<br />

studies show that seismic response of the bridge can be significantly reduced by implementation of<br />

AMDs, and the control design can be performed with use of only a few dominant modes. It is found<br />

that installation of AMDs on top of the bridge towers and at the middle of the main spans can achieve<br />

good control effectiveness. <strong>The</strong> control effectiveness for the deck displacements and internal forces<br />

under transverse seismic excitation is better than that under longitudinal seismic excitation.<br />

INTRODUCTION<br />

Due to high flexibility and low damping, a long-span cable-stayed bridge is vulnerable to dynamic<br />

loading such as earthquakes and typhoons. Structural control provides an efficient means for protection<br />

of cable-stayed bridges against earthquakes, wind and other hazards. Although the concept of active<br />

control of cable-stayed bridges has been proposed as early as the end of the seventies (Yang &<br />

Giannopolous 1979a,b), substantial research on this subject did not progress in the eighties. Studies of<br />

applying active control to cable-supported bridges have revived in the last decade. While active control<br />

of wind-induced flutter vibration has been extensively studied using both mechanical and aerodynamic<br />

measures, active seismic control of cable-supported bridges has essentially focused on exploring active<br />

cable tendon control and decentralized control techniques by referring to simple structural models.<br />

Studies on active seismic response control of cable-supported bridges referring to detailed bridge<br />

models have evolved only in recent years (Miyata et al 1996; Shoureshi & Bell 1996; Paulet-<br />

Crainiceanu 1998; Schemmann & Smith 1998a,b). A benchmark problem for seismic response control<br />

of the cable-stayed Cape Girardeau Bridge has been recently developed (Dyke et al 2000). A state-ofart<br />

review of active/semiactive control for cable-supported bridges is available (Ni et al 2001a).

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