“…VIV of a pipeline, which has been considered as one of the most important reasons for a pipeline failure, may occur when the ocean flow crossing the pipeline is larger than a certain value. Most existing studies on VIV were mainly focused on the vibration amplitude and frequency for a wall-free (Feng, 1968;Sarpkaya, 2004;Govardhan & Williamson, 2006;Vandiver, 2012) or near-bed cylinder (Jacobsen et al, 1984;Yang et al, 2009;Zang & Gao, 2014). However, the critical condition for the onset of VIV is also a crucial parameter in practical engineering, as it is closely related to the allowable length for avoiding VIV of the spanning pipeline.…”