TY - JOUR N2 - The transport pipeline of lifting the underwater minerals to the surface of the water onto the ship during the movement of the vessel takes in the water a curved deformed shape. Analysis of the state of stability of the pipeline showed that if the flow velocity of fluid in the pipeline exceeds a certain critical value Vkr, then its small random deviations from the equilibrium position may develop into deviations of large amplitude. The cause of instability is the presence of the centrifugal force of the moving fluid mass, which occurs in places of curvature of the axis of the pipeline and seeks to increase this curvature when the ends of the pipeline are fixed. When the critical flow velocity is reached, the internal force factors become unable to compensate for the action of centrifugal force, as a result of that a loss of stability occurs. Equations describing this dynamic state of the pipeline are presented in the article. L1 - http://journals.pan.pl/Content/120846/Archiwum-66-3-04-Sobota.pdf L2 - http://journals.pan.pl/Content/120846 PY - 2021 IS - No 3 EP - 392 DO - 10.24425/ams.2021.138595 KW - deep-sea mining KW - vertical pipelines KW - stability of deep-sea pipelines A1 - Sobota, Jerzy A1 - Jianxin, Xia A1 - Kirichenko, Evgeniy PB - Committee of Mining PAS VL - vol. 66 DA - 2021.09.27 T1 - Dynamic States Equations of Transport Pipeline in Deep-Sea Mining SP - 385 UR - http://journals.pan.pl/dlibra/publication/edition/120846 T2 - Archives of Mining Sciences ER -