Pendulum TMD’s in Building Vibration Control

The theory behind small amplitude movement of a pendulum is stated, followed by construction of a simple example with two degrees of freedom including the unidirectional movement of the structure and the pendulum angle in relation to vertical. This simple model and the finite elements software SAP2000 are also applied to a multiple degree of freedom one bay-frame building. The application of the pendulum TMD to control the building vibrations is validated by numerical modelling. An additional case with a more complex model was also studied, comprising a reaction tower of a transmission tower testing station which dynamic behavior under wind action is benefited from placement of a pendulum TMD. The numerical modelling of the studied indicate that the application of pendulum TMD’s is worthwhile in civil engineering structures.