“…In this case, the tuned mass behaves like a classical TMD, which suppress the vibration of the main mass by giving it a restoring force against its motion direction. However, if the motion of the main mass exceeds a certain level, the tuned mass will impact on the delimiter and kinetic energy will be dissipated during this collision process [33,34]. The PTMD has been applied for mitigating the undesired vibration of a variety of structures, including long span power transmission tower–line systems [33,35], subsea pipeline structures [36,37,38,39], offshore platforms [40,41], high rise buildings [42,43,44,45], long span bridges [46,47], suspended building piping systems [19], and traffic signal poles [48,49].…”