“…Mitigating the seismic responses of major structures such as tall buildings, wind sensitive bridges, and potentially susceptible structures has been studied comprehensively over the years (Adeli and Saleh, , , ; Adeli and Kim, ; Jiang and Adeli, , ; Kim and Adeli, , , , , ; Saleh and Adeli, , , ; Soong and Costantinou, ; Amini and Vahdani, ; Amini, ; Kim et al., ). The passive tuned mass damper (PTMD) is effective in reducing the vibration of structures caused by earthquakes with limited band frequency (Warburton and Ayorinde, ; Den Hartog, ).…”