“…The dynamic analysis of pipelines was made by Bai and Zhang, from which the lumped mass method was derived (Bai et al, 2018). The research on subsea pipelines involves all aspects, including structural analysis (Knapp and Shimabukuro, 2007), dynamic response analysis (Williams and Paton, 2002;Ajayi and Aribike, 2015), renewable energy (Martinelli et al, 2010), vortex-induced vibration (Liu et al, 2022), and installation process (Gao et al, 2014;Gong et al, 2014).…”