“…Moreover, the shedding mode or frequency of wake vortex may vary, or even be grouped in cells, along structural span due to span-wise coupling of vortices (Mukhopadhyay et al, 1999;Lucor et al, 2001;Williamson and Govardhan, 2008). Therefore, VIV of a long flexible riser experiencing non-uniform flow often presents new phenomena such as multi-frequency (or called as multi-mode) VIV, travelling wave and wide-band random vibrations (Chen et al, 2016;Violette et al, 2010;Sarpkaya, 2004;Facchinetti, 2004;Huera-Huarte and Bearman, 2009). Since natural frequencies of slender riser are dense, i.e.…”