1. 212 Ketter Hall, North Campus, Buffalo, NY 14260 www.civil.buffalo.edu Fax: 716 645 3733 Tel: 716 645 2114 x 2400 Control of Structural Vibrations Lecture #5 Devices and Models (2) Instructor: Andrei M. Reinhorn P.Eng. D.Sc. Professor of Structural Engineering

2. Friction (Hysteretic) Dampers  Models and Implemented Devices

3. Friction Devices - Pall System

5. Pall Friction Damper

7. Friction Properties

8. Friction System Constantinou and Reinhorn,1991

10. Friction Device - Popov

11. Friction Displacement Curves

12. Sumitomo Friction Damper

14. Tekton Friction Damper

15. Tekton Friction Device

17. Friction Models

20. Sivaselvan-Reinhorn Model MCEER Report #MCEER-99-0018 Model used in IDARC2DVer.5.0 Friction Model: K 0 = Very large, or a = 0,  1 =  2 = 0.5

21. Friction Connection Brace

22. Frame with Friction Bolted Connections

23. Additional Friction Dampers

25. Re-Centering Dampers and Energy Dissipation Devices  Models and Implemented Devices

26. Other Energy Dissipation Devices

28. P=P 0 sgn x + K x [ 1 +  tan a 0 sgn (dx/dt) ].. P 0 = Preload K 1 = K (1 + …) K 2 = K (1 - …)

29. Floor Daniel Energy Disipation Restrain (EDR)

30. Re-Centering Devices

31. Behavior of Recentering Device

32. Restoring Force in Fluid Dampers

33. Model of Recentering Device

34. Re-Centering Devices Jarret Elastomeric Spring Damper (Mander et al., 1997)

35. Re-Centering Devices

36. Shape Memory Alloy  Materials which experience re-centering hysteresis  Nickel - Titanium Alloy, etc.

37. SMA - Stress Strain Response

38. Shape memory alloys

39. SMA:

40. Other Dampers and Energy Dissipation Devices  Special Implementations

41. Toggle Braces - Consatntinou et al 1998

45. Alternative Assemblies of Dampers

46. Comparison of Toggle Dampers

47. Tuned Mass Dampers  Models and Implemented Devices