1. Example 4.4

2. No damper

4. TMD at node 2 Tune to mode 1 modal mass =1.25 modal amplitude =1.0 Want equivalent modal damping = 0.1 Requires mbar =.065 The appropiate damper parameters are f=.91 =.145 mdamper=1.25mbar =.081

5. Mode shapes -TMD tuned to mode 1

6. Modal periods

7. Periodic forcing T = 1s

9. TMD at node 2 - Tuned to mode 2

10. TMD tuned to mode 2

12. Periodic forcing T =.4s tuned to mode 2

13. TMD tuned to mode 2 periodic forcing T =.4s

14. TMD tuned to mode 2 periodic forcing =.4s

16. TMD at node 2 Tuned to mode 1 T =1s

18. Earthquake loading - No TMD

19. TMD tuned to mode 1

20. Earthquake loading -No TMD

21. TMD tuned to mode 1

23. Tforcing=1s TMD at node 2 Tuned to mode 2 T =.408s

26. Example 4.2

27. Mode shapes

28. Inter-element profiles

29. Damping ratios

30. Modal response- T=1sec

31. Damper properties

32. Nodal and damper displacements T=1sec