Suppression of bridge flutter using tuned mass dampers based on robust performance design

This study addresses design methodologies of TMDs for control of bridge flutter, considering the uncertainty of aerodynamic data in order to enhance the robustness of tuned mass dampers (TMDs) against frequency drift caused by wind–bridge interaction. To evaluate the robust performance of a TMD system, the concept of minimum flutter velocity is introduced in the presence of perturbed unsteady aerodynamic forces. Two types of multiple tuned mass dampers (MTMD) are considered, i.e. the frequencies of each TMD are regularly or irregularly spaced. An optimization procedure for an irregular MTMD (IMTMD), which has an unequal frequency interval and different damping ratio of each individual TMD, is proposed based on genetic algorithms. The proposed TMDs are then applied to a cable stayed bridge and a suspension bridge to prove the validity of the methods. From the numerical results, the proposed IMTMD shows remarkable control efficiency compared with conventional single TMD (STMD) and MTMD.

[1]  G. B. Warburton,et al.  Optimum absorber parameters for various combinations of response and excitation parameters , 1982 .

[2]  Mahendra P. Singh,et al.  Optimal placement of dampers for passive response control , 2002 .

[3]  Ming Gu,et al.  Increase of critical flutter wind speed of long-span bridges using tuned mass dampers , 1998 .

[4]  S. Rajeev,et al.  Discrete Optimization of Structures Using Genetic Algorithms , 1992 .

[5]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[6]  Yoyong Arfiadi,et al.  Passive and active control of three-dimensional buildings , 2000 .

[7]  Sung-Pil Chang,et al.  Suppression of flutter and gust response of bridges using actively controlled edge surfaces , 2000 .

[8]  E. Svensson,et al.  Design aspects of tuned mass dampers for the Great Belt East Bridge approach spans , 1995 .

[9]  T. K. Datta,et al.  Control of flutter of suspension bridge deck using TMD , 2002 .

[10]  H. Yamaguchi,et al.  Fundamental characteristics of Multiple Tuned Mass Dampers for suppressing harmonically forced oscillations , 1993 .

[11]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[12]  M. D. Rowbottom,et al.  The optimization of mechanical dampers to control self-excited galloping oscillations , 1981 .

[13]  Chunxiang Li.  Performance of multiple tuned mass dampers for attenuating undesirable oscillations of structures under the ground acceleration , 2000 .

[14]  Y. Fujino,et al.  Dynamic characterization of multiple tuned mass dampers and some design formulas , 1994 .

[15]  E. Conti,et al.  Wind effects on the Normandie cable-stayed bridge: Comparison between full aeroelastic model tests and quasi-steady analytical approach , 1994 .

[16]  Ming Gu,et al.  Parametric study on multiple tuned mass dampers for buffeting control of Yangpu Bridge , 2001 .

[17]  K Iwanami,et al.  OPTIMUM DESIGN OF DUAL TUNED MASS DAMPERS AND THEIR EFFECTIVENESS , 1984 .

[18]  Akio Nagamatsu,et al.  Integrated optimum design of structure and H-infinity control system , 1995 .

[19]  Kiyoko Yokoyama,et al.  AKASHI KAIKYO BRIDGE: WIND EFFECTS AND FULL MODEL WIND TUNNEL TESTS , 1992 .

[20]  Ahsan Kareem,et al.  Performance of Multiple Mass Dampers Under Random Loading , 1995 .