Example 4.4

No damper

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

Mode shapes -TMD tuned to mode 1

Modal periods

Periodic forcing T = 1s

TMD at node 2 - Tuned to mode 2

TMD tuned to mode 2

Periodic forcing T =.4s tuned to mode 2

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

TMD tuned to mode 2 periodic forcing =.4s

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

Earthquake loading - No TMD

TMD tuned to mode 1

Earthquake loading -No TMD

TMD tuned to mode 1

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

Example 4.2

Mode shapes

Inter-element profiles

Damping ratios

Modal response- T=1sec

Damper properties

Nodal and damper displacements T=1sec