涌浪作用下圆筒型FPSO垂荡-纵摇耦合运动的分岔  

Coupled Heave-Pitch Motion Bifurcation of Cylindrical FPSO Under Swell

作　　者：张永恒 朱晓宇 苏鸥溟 李耀隆 李焱[2] 刘利琴[2] ZHANG Yongheng;ZHU Xiaoyu;SU Ouming;LI Yaolong;LI Yan;LIU Liqin(Qingdao Branch,China Classification Society,Qingdao 266034,Shandong,China;Tianjin Key Laboratory of Port and Ocean Engineering,Tianjin University,Tianjin 300350,China;China Ship Scientific Research Center,Wuxi 214082,Jiangsu,China)

机构地区：[1]中国船级社青岛分社,山东青岛266034 [2]天津大学天津市港口与海洋工程重点实验室,天津300350 [3]中国船舶科学研究中心,江苏无锡214082

出　　处：《中国海洋平台》2025年第1期52-59,共8页China offshore Platform

基　　金：国家自然科学基金(编号:52001230);天津市企业科技特派员项目(编号:23YDTPJC00080)。

摘　　要：圆筒型浮式生产储卸油装置(Floating Production Storage and Offloading,FPSO)垂荡运动较大,易引发摇摆运动失稳,影响油气生产安全。针对圆筒型FPSO垂荡与纵摇间的强耦合关系,建立两自由度非线性耦合运动方程,基于摄动法推导方程的近似解析解,研究涌浪作用下圆筒型FPSO垂荡-纵摇耦合运动响应及稳定性。结果表明:当涌浪周期远离圆筒型FPSO垂荡固有周期时,圆筒型FPSO具有良好的运动稳定性;在垂荡与纵摇固有周期接近1∶2关系的情况下,同时当长周期涌浪频率接近圆筒型FPSO垂荡固有频率时,圆筒型FPSO的垂荡和纵摇由线性强迫运动转变为1/2亚谐运动,垂荡位移幅值与波浪幅值呈非线性关系,纵摇出现较大运动响应;当圆筒型FPSO发生内共振运动时,增加垂荡阻尼可消耗垂荡共振时的能量,降低垂荡运动幅值,增加纵摇阻尼可降低纵摇运动幅值,但同时会增大引起垂荡能量向纵摇渗透所需的最小垂荡运动幅值,使波浪能量集中于垂荡模态,导致垂荡运动幅值增大。The large heave motion of cylindrical Floating Production Storage and Offloading(FPSO)is easy to cause instability of rocking motion and affect the safety of oil and gas production.Aimed at the strong coupling relationship between heave and pitch motion of cylindrical FPSO,a two-degree-of-freedom nonlinear coupling motion equation is established.Based on the perturbation method,the approximate analytical solution of the equation is derived,and the coupled heave-pitch motion response and stability of the cylindrical FPSO are studied.The results show that:the platform is of good motion stability when the swell period is far away from the natural heave period of the cylindrical FPSO;when the natural period ratio of heave to pitch is close to 1∶2 while the frequency of long-period swell is close to the natural heave frequency,the heave and pitch of the cylindrical FPSO change from linear forced motion to 1/2 subharmonic motion;the amplitude of heave displacement is of a nonlinear relationship with the amplitude of wave,and the pitch motion is of a larger response;when the cylindrical FPSO undergoes internal resonance motion,increasing the heave damping can consume the energy of the heave resonance and reduce the amplitude of the heave motion;the increasing of the pitch damping can reduce the amplitude of the pitch motion,meanwhile it will increase the minimal heave motion amplitude required to cause the heave energy to penetrate into the pitch motion,so the wave energy is concentrated in the heave mode,resulting in the raise of the amplitude of the heave motion.

关 键 词：圆筒型浮式生产储卸油装置 垂荡-纵摇耦合运动 涌浪 内共振 分岔 亚谐运动 

分 类 号：TE95[石油与天然气工程—石油机械设备] P75[天文地球—海洋科学]