“…If the TMD is tuned in resonance with the primary structure but in an opposite phase, a large amount of vibration energy is transferred to the TMD and then dissipated by damping in TMD when the primary structure is subjected to harmonic excitations. TMDs have been widely applied in civil engineering structures such as high-rise buildings (Irwin, 2009; Kareem and Kijewski, 1999; Kwok and Samali, 1995; Shi et al, 2012; Wang et al, 2018; Xu et al, 2017), long-span bridges (Battista and Pfeil, 2000; Fujino and Yoshida, 2002; Larsen et al, 1995; Weber and Maslanka, 2012), and industrial chimneys (Brownjohns et al, 2010; Gorski, 2015).…”