Truss Spar平台在波流联合作用下运动响应预报方法比较
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摘要
基于细长体水动力模型比较了Truss Spar平台在波流联合作用下运动响应预报的三种方法。分别采用波流耦合、速度叠加及力叠加计算Truss Spar平台在波流联合作用下的水动力载荷,根据流场水质点运动规律和Truss Spar外部形状特点,分段高效计算水动力载荷。利用Runge-Kutta-Fehlberg方法求解刚体非线性运动方程得Truss Spar在波流场中的运动响应。研究结果表明力叠加法所预报的Truss Spar纵荡和纵摇运动明显大于其他两种方法的相应运动响应预报结果,而波流耦合法与速度叠加法所预报的纵荡与纵摇运动响应幅值相当,三种方法所预报的垂荡运动响应的大小取决于具体波流参数。
Three methods used for predicting Truss Spar motions were investigated in waves and currents based on the slender hydrodynamic model. The hydrodynamic loads of Truss Spar due to waves and currents were calculated by wave-current coupling,velocity superposition and force superposition. According to the kinematic characteristics of water particle in fluid field,the compotation of hydrodynamic loads was efficiently completed by a segment scheme. Truss Spar motion responses were predicted by a set of nonlinear equations of the rigid body,which was solved by Runge-Kutta-Fehlberg method. The results indicate that the force superposition method can predict relatively large surge and pitch motions,whereas the wave-current coupling method and velocity superposition method present almost the same surge and pitch motions. However,the predicted heave results of the three methods depend on specific wave and current parameters.
Three methods used for predicting Truss Spar motions were investigated in waves and currents based on the slender hydrodynamic model. The hydrodynamic loads of Truss Spar due to waves and currents were calculated by wave-current coupling,velocity superposition and force superposition. According to the kinematic characteristics of water particle in fluid field,the compotation of hydrodynamic loads was efficiently completed by a segment scheme. Truss Spar motion responses were predicted by a set of nonlinear equations of the rigid body,which was solved by Runge-Kutta-Fehlberg method. The results indicate that the force superposition method can predict relatively large surge and pitch motions,whereas the wave-current coupling method and velocity superposition method present almost the same surge and pitch motions. However,the predicted heave results of the three methods depend on specific wave and current parameters.
引文
[1]李彬彬,欧进萍. Truss Spar平台垂荡响应频域分析[J].海洋工程,2009,27(1):8-16.(LI Binbin,OU Jinping. Heave response analysis of Truss Spar in frequency domain[J]. The Ocean Engineering,2009,27(1):8-16.(in Chinese))
[2] CHITRAPU A S,SAHA S,SALPEKAR V Y. Time-domain simulation of Spar platform response in random waves and current C]∥Proceedings of the 17th International Conference on Offshore Mechanics and Arctic Engineering. Fairfield:ASME,1999:1-9.
[3]赵伟文,万德成.用大涡模拟方法数值模拟Truss Spar平台涡激运动问题[C]∥第十三届全国水动力学学术会议暨第二十六届全国水动力学研讨会文集. 2014:1354-1360.(ZHAO Weiwen,WAN Decheng. Numerical investigation of Truss Spar vortex-induced motions based on large eddy simulation[C]∥Proceedings of the 13th National Congress on Hydrodynamics&26th National Conference on Hydrodynamics. 2014:1345-1360.(in Chinese))
[4] MA Q W,PATEL M H. On the non-linear forces acting on a floating Spar platform in ocean waves[J]. Applied Ocean Research,2001,23(1):29-40.
[5] CHAKRABARTI S. Handbook of offshore engineering[M]. Amsterdam:Elsevier,2005.
[6]许国春. Spar平台在风、浪、流中的运动预测与分析[D].哈尔滨:哈尔滨工程大学,2011.(XU Guochun. Prediction and analysis on spar motion in winds,waves and currents[D]. Harbin:Harbin Engineering University,2011.(in Chinese))
[7] RYU S,KIM M H,LYNETT P J. Fully nonlinear wave-current interactions and kinematics by a BEM-based numerical wave tank[J]. Computational Mechanics,2003,32(4):336-346.
[8] XU G C,MA Q W,SUN L P. Numerical investigations on Truss Spar motion in waves[C]∥Proceedings of the 20th International Offshore and Polar Engineering Conference. Cupertino:International Society of Offshore and Polar Engineers,2010:508-513.
[9] RAINEY R. Slender-body expressions for the wave load on offshore structures[J]. Proceedings of the Royal Society of London A:Mathematical,Physical and Engineering Sciences,1995,450:391-416.
[10] API-RP2A,Recommended practice for planning,designing and constructing fixed offshore platform[S]. Washington D C:American Petroleum Institute,2005.
[11] PRISLIN I,BLEVINS R D,HALKYARD J E. Viscous damping and added mass of solid square plates[C]∥Proceedings of the17th International Conference on Offshore Mechanics and Arctic Engineering. 1998:1-7.
[12] KIM M H,RAN Z,ZHENG W. Hull/mooring coupled dynamic analysis of a Truss Spar in time-domain[C]∥Proceedings of the International Offshore and Polar Engineering Conference. 1999:301-308.
[13] LIN H,YIM S C. Coupled surge-heave motions of a moored system I:Model calibration and parametric study[J]. Journal of Engineering Mechanics,2006,132(6):671-680.
[14] LIU Shuxiao,TANG Yougang,LI Wei. Nonlinear random motion analysis of a spar platform's coupled heave-pitch considering2nd-order wave loads[J]. Journal of Marine Science and Application,2016,15(2):166-174.
[15]沈文君,唐友刚,李红霞.随机波浪下Truss Spar平台垂荡运动时域分析[J].海洋工程,2012,30(1):60-65.(SHEN Wenjun,TANG Yougang,LI Hongxia. Time domain analysis of heave motion for Truss Spar in random seas[J]. The Ocean Engineering,2012,30(1):60-65.(in Chinese))
[2] CHITRAPU A S,SAHA S,SALPEKAR V Y. Time-domain simulation of Spar platform response in random waves and current C]∥Proceedings of the 17th International Conference on Offshore Mechanics and Arctic Engineering. Fairfield:ASME,1999:1-9.
[3]赵伟文,万德成.用大涡模拟方法数值模拟Truss Spar平台涡激运动问题[C]∥第十三届全国水动力学学术会议暨第二十六届全国水动力学研讨会文集. 2014:1354-1360.(ZHAO Weiwen,WAN Decheng. Numerical investigation of Truss Spar vortex-induced motions based on large eddy simulation[C]∥Proceedings of the 13th National Congress on Hydrodynamics&26th National Conference on Hydrodynamics. 2014:1345-1360.(in Chinese))
[4] MA Q W,PATEL M H. On the non-linear forces acting on a floating Spar platform in ocean waves[J]. Applied Ocean Research,2001,23(1):29-40.
[5] CHAKRABARTI S. Handbook of offshore engineering[M]. Amsterdam:Elsevier,2005.
[6]许国春. Spar平台在风、浪、流中的运动预测与分析[D].哈尔滨:哈尔滨工程大学,2011.(XU Guochun. Prediction and analysis on spar motion in winds,waves and currents[D]. Harbin:Harbin Engineering University,2011.(in Chinese))
[7] RYU S,KIM M H,LYNETT P J. Fully nonlinear wave-current interactions and kinematics by a BEM-based numerical wave tank[J]. Computational Mechanics,2003,32(4):336-346.
[8] XU G C,MA Q W,SUN L P. Numerical investigations on Truss Spar motion in waves[C]∥Proceedings of the 20th International Offshore and Polar Engineering Conference. Cupertino:International Society of Offshore and Polar Engineers,2010:508-513.
[9] RAINEY R. Slender-body expressions for the wave load on offshore structures[J]. Proceedings of the Royal Society of London A:Mathematical,Physical and Engineering Sciences,1995,450:391-416.
[10] API-RP2A,Recommended practice for planning,designing and constructing fixed offshore platform[S]. Washington D C:American Petroleum Institute,2005.
[11] PRISLIN I,BLEVINS R D,HALKYARD J E. Viscous damping and added mass of solid square plates[C]∥Proceedings of the17th International Conference on Offshore Mechanics and Arctic Engineering. 1998:1-7.
[12] KIM M H,RAN Z,ZHENG W. Hull/mooring coupled dynamic analysis of a Truss Spar in time-domain[C]∥Proceedings of the International Offshore and Polar Engineering Conference. 1999:301-308.
[13] LIN H,YIM S C. Coupled surge-heave motions of a moored system I:Model calibration and parametric study[J]. Journal of Engineering Mechanics,2006,132(6):671-680.
[14] LIU Shuxiao,TANG Yougang,LI Wei. Nonlinear random motion analysis of a spar platform's coupled heave-pitch considering2nd-order wave loads[J]. Journal of Marine Science and Application,2016,15(2):166-174.
[15]沈文君,唐友刚,李红霞.随机波浪下Truss Spar平台垂荡运动时域分析[J].海洋工程,2012,30(1):60-65.(SHEN Wenjun,TANG Yougang,LI Hongxia. Time domain analysis of heave motion for Truss Spar in random seas[J]. The Ocean Engineering,2012,30(1):60-65.(in Chinese))