“…In practical application, it often must bear different types of external excitation, which leads to harmful vibration of the beam and the connected structure, affecting the operation state of the equipment (Liu et al, 2021). In the past decades, the research on vibration control mainly focused on absorbing and consuming vibration energy, and developed a series of vibration reduction measures, such as the constrained damping materials (Lu et al, 2020), the tuned mass damper (Zhang et al, 2021), the nonlinear energy sink (Tsiatas and Karatzia, 2020), and the active vibration control based on external energy input (Poplawski et al, 2021), which play a very good role in structural vibration control. Recently, to reduce the vibration transmission between the simply supported beam and the connected structure, extending the vibration isolation bandwidth of the beam is an effective approach and has been paid more and more attention by scientists and engineers (Grossi and Quintana, 2008;Mao et al, 2017;Raei and Dardel, 2020).…”