“…Subsequently, there are plenty of researchers who investigated VDM beam plate and shell structures. For example, Mead and Markus [6,7], Yan and Dowell [8], Rao et al [9], Kristensen et al [10], Kumara and Singh [11], and Sher and Moreira [12] are typical researchers in this area. Traditionally, VDM has four methods of application in industry, which is free layer damping, constrained layer damping [11,13] and partially constrained layer damping [14], and active constrained layer damping [15,16].…”