Optimization of Multi-TMD Using BCMO Algorithm for Building Models Subjected to Earthquake

Tuned Mass Dampers (TMDs) have been investigated in many studies to reduce the vibration of high-rise buildings under seismic loads. This paper presents a passive control method to install multi-TMD on the building model’s floors. The high-rise building system studied is the shear frame building model. The system’s motion equation is established by the Lagrange method. The parameters of multi-TMD are optimized using the Balancing composite motion optimization (BCMO) algorithm. The optimal objectives are to minimize the model’s peak relative displacement and absolute acceleration. The design variables are the parameters of TMDs. The constraint when optimizing is that the total mass of the TMDs is not more than 2% of the total mass of the building structure. The numerical simulation results for a 5-story building model show the effectiveness of installed multi-TMD. The calculation results in this paper can be extended to the active control problem with different damping devices.