“…The studies regarding vortex induced vibrations of circular cylinders is very wide-ranging, and new conceptions are developed ceaselessly by using experiments (Klamo et al 2005, Carberry 2001, Raghavan and Bernitsas 2011, Kim and Bernitsas 2016, field tests (Sumer and Fredsoe 1997), and numerical simulations (Williamson and Govardhan 2004, Juan et al 2015, Ding et al 2016, Kinaci et al 2016aand b, Steven et al 2016, Chung 2016, Jiang et al 2016. Vortex-induced vibrations are highly nonlinear phenomena.…”