“…An extensive amount of research has been published on the complete (Cooley and Parker, 2014; Eley et al., 2000; Huang et al., 2013; Kim and Chung, 2002; Lesaffre et al., 2007; Xie et al., 2015) and simplified (Bisegna and Caruso, 2007; Canchi and Parker, 2006a, 2006b, 2008; Huang and Soedel, 1987a, 1987b; Li et al., 2014; Wang et al., 2010, 2016a, 2016b; Wu and Parker, 2006; Ye et al., 2012; Zhang et al., 2014; Zhao et al., 2015) models, where the natural frequency and vibration instability are the two basic concerns. Based on the complete model, Eley et al.…”