规则波浪中圆筒型浮式生产储装置参数激励非线性响应研究  

Nonlinear Response of Cylindrical Floating Production Storage and Offloading Vessels Under Parametric Excitation in Regular Waves

作　　者：刘利琴[1] 赵佳雯 李焱[1] 余勇军 Liu Liqin;Zhao Jiawen;Li Yan;Yu Yongjun(State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University,Tianjin 300350,China;Shanghai Rules&Research Institude,China Classification Society,Shanghai 200120,China)

机构地区：[1]天津大学水利工程仿真与安全国家重点实验室,天津300350 [2]中国船级社上海规范研究所,上海200120

出　　处：《中国海洋大学学报（自然科学版）》2024年第8期132-141,共10页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(52371332)资助。

摘　　要：目前常见的提升圆筒型浮式生产储装置(Floating production storage and offloading vessels,FPSO)垂荡性能的方法是通过增加刚度使垂荡固有周期增大到20 s以上,远离常见波浪周期,但这使得垂荡固有周期与纵摇固有周期的比值接近1∶2,可能会导致参数激励现象的发生。因此本文针对此类圆筒型FPSO系统的参数激励非线性运动展开研究。考虑规则波建立了系统单自由度参数激励纵摇方程,本文中采用多尺度法求解运动方程的一次近似解析解,基于Lyapunov定理分析解的稳定性,以分析规则参数激励下圆筒型FPSO纵摇失稳的机理。最后,结合多尺度法与数值方法进行参数敏感性分析。结果表明,使参数激励周期与纵摇固有周期的比值远离1/2、降低参数激励幅值和增大纵摇阻尼的3种方式均能够有效避免大幅参数激励的发生。At present,the common way to improve the heave motion performance of cylindrical Floating Production Storage and Offloading(FPSO)vessels is to increase the stiffness so that the natural heave period is increased to more than 20 s,away from the common wave period,but this makes the ratio of the natural heave period to the natural pitch period close to 1∶2,which may lead to the occurrence of parametric excitation.Therefore,parametrically excited nonlinear motion of such cylindrical FPSO systems is studied in this paper.The single-degree-of-freedom pitch motion equation under regular parameter excitation is established,the multi-scale method is used to get its first order analytical solution,the stability of the solution is analyzed based on Lyapunov's theorem,and the mechanism of cylindrical FPSO pitch instability under regular parameter excitation is explored.The parameter sensitivity analysis is carried out by multi-scale method and numerical method,and it is found that the parametric excitation can be avoided by keeping the period ratio away from 1/2,reducing the parametric excitation amplitude and increasing the pitch damping.

关 键 词：圆筒型浮式生产储装置 参数激励 多尺度法 失稳机理 非线性响应 参数敏感性分析 

分 类 号：U661.39[交通运输工程—船舶及航道工程]