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Active Structures 2013-2014 project The design of a Hybrid Mass Damper for a shear frame

Active Structures 2013-2014 project The design of a Hybrid Mass Damper for a shear frame. Contents Introduction Seismic response of structures Seismic input acceleration Seismic response of the shear frame Design of the Dynamic Vibration Absorber Modelling the frame + DVA

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Active Structures 2013-2014 project The design of a Hybrid Mass Damper for a shear frame

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  1. Active Structures 2013-2014 project The design of a Hybrid Mass Damper for a shear frame Contents Introduction Seismicresponse of structures Seismic input acceleration Seismicresponse of the shear frame Design of the Dynamic Vibration Absorber Modelling the frame + DVA Seismicresponse of the frame + DVA Active Mass Damper (AMD) Hybrid Mass Damper (« Passive » HMD) Dual loopHybrid Mass Damper (« Active » HMD) Modeling in MATLAB

  2. Taipei 101 (509 m) 730 T Tuned Mass Damper

  3. DVA (TMD) / AMD / HMD

  4. Yokohama Landmark Tower Active Mass Damper

  5. (from K. Seto)

  6. (from K. Seto)

  7. Seismicresponse Modal participation factor Modal response: Acceleration In the structure: Shear force At the base: Total mass Effective modal mass of mode i

  8. Shear frame

  9. Natural frequencies: Mode shapes:

  10. Seismic input acceleration Kanai-Tajimi: High-passfilter:

  11. Accelerationseismicresponse of the shear frame (x=0.01) Cumulative RMS Amplification of the flooracceleration within the building

  12. Non-dimensionalreaction force

  13. Dynamic Vibration Absorber (DVA) Equalpeak design: (Den Hartog)

  14. Equalpeak design

  15. How do weaccount for the mode shape in the DVA design ? e=ma/mT=0.01 Mass ratio= ma /m1 m1 ? DVA parameters:

  16. Modelling the 10-storeyshear building with a DVA at the top Reconstructing the full dampingmatrix: C* is the modal damping of the frame: The responsequantitiesmay no longer beexpressed in modal coordinates: Because the mode shapessatisfy the orthogonality condition:

  17. Effect of the DVA on the reaction force

  18. Stroke of the DVA

  19. Influence of the mass ratio e=ma/mT on the performance of the DVA

  20. Active control with an Active Mass Damper (AMD) A geophonemeasures the absolutevelocityv10 of the upperfloor

  21. System modeling State vector: System equation in state varialbeform: Output equation: Open-looptransferfunctionv / f : (Alternatingpoles and zeros) Direct velocity feedback:

  22. Open-loop FRF: v / f

  23. Closed-loopresponse: Eigen-values = closed-looppoles Root-locus

  24. Reaction force for 3 values of the gain g (x1= 5%, 10%, 15%)

  25. Actuator force and actuator stroke

  26. (Passive) Hybrid Mass Damper: Tuning of the actuator AMD DVA HMD

  27. Comparison HMD – AMD: reaction force

  28. Comparison HMD – AMD: Control force and actuator stroke Conclusion: The HMD performsbetterthan the DVA and requiressubstantiallyless control force and stroke than the AMD. However, itis an active system and, in case of control failure, itdegeneratesinto a mistuned DVA withbad performances.

  29. Dual loopHybrid Mass Damper (Active HMD) A DVA (wa , ca) ismodifiedactivelywith a P+D controllerto achieve the properties of the passive HMD: Advantage: Robustness: degeneratesinto a passive DVA with optimum properties in case of control failure. Drawback: Increased control complexity (additionalsensormeasuringx11-x10 ). Larger control force.

  30. System modeling in MATLAB Extended state vector: System equation: Input vector: Output equation:

  31. Active HMD The P + D controller moves the poles of the DVA to the open-looppoles of the HMD The velocity feedback loop brings the poles in their final Location, with the same performance as the passive HMD P + D

  32. Additional control force due to the P + D loop

  33. Comparison of the performance of the Passive and Active HMD in degraded mode (Passive HMD when the control isdisabled) (Active HMD when the control isdisabled)

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