“…Many others (e.g., Peng and Pai [30], Peng et al [31], Miranda et al [32], Wang et al [33], He et al [34], Zhu et al, Hsu [35], Zhang et al [36], Qin et al [37], Nouh et al [38], Li et al [39], Xiao et al [40]) have investigated the vibration and noise control by two-dimensional (2D) metamaterial plates with a variety of attachments, such as a mass-spring resonator [30][31][32][33][34], stepped resonators [35,39], a built-in membrane with attached mass resonators [38], beam-like resonators [40], lumped masses [41,42], etc. Several studies (e.g., Elmadih et al [43], Yuan et al [44], Krushynska et al [45,46], Jiang et al [47], Mizukami et al [48], An et al [49], D'Alessandro [50], Poggetto et al [51]) have proposed three-dimensional (3D) elasto-acoustic metamaterial lattices with local resonators composed of concentric hard and stiff inclusions or ligaments and connected mass bulks of different shapes in recent years.…”