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Computational Structural Engineering Institute Autumn Conference 2002 Oct. 18 - 19, 2002

Bridges with lightweight structures face challenges from heavy vehicles causing discomfort due to induced vibrations. This study from KAIST in Korea aims to propose a passive control device for improved bridge serviceability. The research includes formulating a mathematical model, optimizing device parameters, and demonstrating numerical examples with significant reductions in normed displacement and acceleration. The proposed device effectively controls both displacement and acceleration simultaneously, decays steady-state responses faster, and proves useful for bridge vibration control.

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Computational Structural Engineering Institute Autumn Conference 2002 Oct. 18 - 19, 2002

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  1. Computational Structural Engineering Institute Autumn Conference 2002 Oct. 18 - 19, 2002 VIBRATION CONTROL OF BRIDGE FOR SERVICEABILITY Jun-Sik Ha1), Ji-Seong Jo2), Sun-Kyu Park3), In-Won Lee4) 1) Graduate Student, Department of Civil and Environmental Engineering, KAIST 2) Ph.D. Candidate, Department of Civil and Environmental Engineering, KAIST 3) Professor, Department of Civil Engineering, SungKyunKwan Univ. 4) Professor, Department of Civil and Environmental Engineering, KAIST

  2. CONTENTS INTRODUCTION  FORMULATION OF MATHEMATICAL MODEL  NUMERICALEXAMPLE  CONCLUSIONS Structural Dynamics & Vibration Control Lab., KAIST, Korea

  3. INTRODUCTION • Bridges, which have lightweight, are more vulnerable to heavy weight vehicle. • The vibration induced by moving loads makes passengers uncomfortable. Structural Dynamics & Vibration Control Lab., KAIST, Korea

  4. Objective of Study • Propose passive control device for the improvement of serviceability. Structural Dynamics & Vibration Control Lab., KAIST, Korea

  5. FORMULATION OF MATHEMATICAL MODEL • Modeling Structural Dynamics & Vibration Control Lab., KAIST, Korea

  6. Equation of Motion • Control Device Structural Dynamics & Vibration Control Lab., KAIST, Korea

  7. (1) (2) (3) Structural Dynamics & Vibration Control Lab., KAIST, Korea

  8. Bridge (4) (5) (6) Structural Dynamics & Vibration Control Lab., KAIST, Korea

  9. Multiplying eq.(3) by (7) (8) Structural Dynamics & Vibration Control Lab., KAIST, Korea

  10. Applying orthogonal condition (9) • Substituting mode shape function of beam (10) Structural Dynamics & Vibration Control Lab., KAIST, Korea

  11. (11) (12) where Structural Dynamics & Vibration Control Lab., KAIST, Korea

  12. Optimization of Device Parameters • Using Pareto Optimization(“Engineering Optimization”, Singiresu S. Rao) (13) When J is minimized, the damping coefficient and spring constant in control device are optimum. Structural Dynamics & Vibration Control Lab., KAIST, Korea

  13. NUMERICAL EXAMPLES • Composite Steel Plate Girder Bridge “Generalized of Design for Short Span Steel Bridges Using Rolled Beam”, Magazine of the Korean Society of Steel Construction, vol.14,No.1, pp. 77~82. Structural Dynamics & Vibration Control Lab., KAIST, Korea

  14. Geometry and Material Properties • Geometry • Material Properties • Bridge • Bridge • Control device • Control device Structural Dynamics & Vibration Control Lab., KAIST, Korea

  15. Parameters • Vehicle velocity • Number of modes : 3 • Coefficient of Pareto optimization Structural Dynamics & Vibration Control Lab., KAIST, Korea

  16. Optimization of Device Parameters • The Normed Displacement of Mid-span • As the damping coefficient and spring constant are increased, the normed displacement are decreased. • Max : 46 % reduction Structural Dynamics & Vibration Control Lab., KAIST, Korea

  17. The Normed Acceleration of Mid-span • The optimal damping constant exists. • Max : 36 % reduction Structural Dynamics & Vibration Control Lab., KAIST, Korea

  18. J of Mid-span Structural Dynamics & Vibration Control Lab., KAIST, Korea

  19. Optimal Damping Coefficient and Spring Constant Structural Dynamics & Vibration Control Lab., KAIST, Korea

  20. Simulation Results • Displacement of Mid-span • The maximum reduction is 22%. Structural Dynamics & Vibration Control Lab., KAIST, Korea

  21. Acceleration of Mid-span • The maximum reduction is 21.1%. Structural Dynamics & Vibration Control Lab., KAIST, Korea

  22. Table 1. Performances of proposed control device Structural Dynamics & Vibration Control Lab., KAIST, Korea

  23. CONCLUSIONS • Proposed Passive Control Device • can control both displacement and acceleration simultaneously. • can decay the steady-state responses much faster. • Therefore, proposed passive control device could be effectively used for vibration control of bridges. Structural Dynamics & Vibration Control Lab., KAIST, Korea

  24. ACKNOWLEDGEMNT • This research is funded by the National Research Laboratory Grant (No.: 2000-N-NL-01-C-251) in Korea. Thank you for your attention! Structural Dynamics & Vibration Control Lab., KAIST, Korea

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