一种基于离散模块的浮体水弹性响应预报方法
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摘要
文章基于传统的多体水动力学和有限元方法,将连续的浮体离散为由有限个弹性梁元连接的刚体子模块,各个模块不仅受到相邻模块的水动力的干扰,同时还受到为保证结构连续性而引入的等效连接梁的作用,从而建立了一种新的可以用于求解浮体水弹性响应的数值方法。采用文中的数值计算方法,对一个箱形的超大型浮体的水弹性响应进行了研究。并通过与传统的水弹性方法计算结果的对比,证明了文中的方法的正确性和可靠性。该文的数值计算方法可为以后非均匀海洋环境下浮式结构物的水弹性响应计算提供依据。
On the basis of the traditional potential theory and finite element method(FEM), a numerical hydroelasticity method is established. The continuous floating structure is discretized into rigid sub-modules connected by finite number of elastic beam elements; the responses of each module will be not only affected by the hydrodynamic interactions by other modules, but also restricted by the connected beams, which is introduced to guarantee the continuity of the structure. The hydroelastic responses of a very large floating structure(VLFS) obtained from the proposed method are verified against the results obtained from the conventional hydroelastic method. Good agreement can be acquired, which indicates that the proposed method is accurate and reliable. The proposed numerical method can be further developed to investigate the hydroelastic responses of the floating structures in the inhomogeneous sea environments.
On the basis of the traditional potential theory and finite element method(FEM), a numerical hydroelasticity method is established. The continuous floating structure is discretized into rigid sub-modules connected by finite number of elastic beam elements; the responses of each module will be not only affected by the hydrodynamic interactions by other modules, but also restricted by the connected beams, which is introduced to guarantee the continuity of the structure. The hydroelastic responses of a very large floating structure(VLFS) obtained from the proposed method are verified against the results obtained from the conventional hydroelastic method. Good agreement can be acquired, which indicates that the proposed method is accurate and reliable. The proposed numerical method can be further developed to investigate the hydroelastic responses of the floating structures in the inhomogeneous sea environments.
引文
[1]Ohmatsu S.Overview:Research on wave loading and responses of VLFS[J].Marine Structures,2005,18(2):149-168.
[2]Palo P.Mobile offshore base:Hydrodynamic advancements and remaining challenges[J].Marine Structures,2005,18(2):133-147.
[3]Lie H,Fu S,Fylling I,Fredriksen A G,Bonnemaire B,Kjersem G L.Numerical modelling of floating and submerged bridges subjected to wave,current and wind[C].Proc.ASME 2016 35th International Conference on Ocean,Offshore and Arctic Engineering,OMAE2016-54851,2016.
[4]Yang P,Gu X,Tian C,Liu X.Motion responses of floating structures near small islands[C].Proc.ASME 2015 34th International Conference on Ocean,Offshore and Arctic Engineering,OMAE2015-42396,2015.
[5]吴有生,田超,宗智,段文洋,顾学康.波浪环境下超大型浮式结构物的水弹性响应研究[C].第二十五届全国水动力学研讨会暨第十二届全国水动力学学术会议文集,2017.Wu Y S,Tian C,Zong Z,Duan W Y,Gu X K.Hydroelastic investigation on dynamic response of VLFS under wave environment near ocean island[C].Proceedings of the 25th National Conference on Hydrodynamics and 12th National Congress on Hydrodynamics,2017.
[6]Bishop R,Price W.On the relationship between‘dry modes’and‘wet modes’in the theory of ship response[J].Journal of Sound and Vibration,1976,45(2):157-164.
[7]Wu Y S.Hydroelasticity of floating bodies[D].Brunel,UK:University of Brunel,1984.
[8]崔维成.超大型海洋浮式结构物水弹性响应预报的研究现状和发展方向[J].船舶力学,2002,6(1):73-90.Cui W C.Current status and future directions in predicting the hydroelastic response of very large floating structures[J].Journal of Ship Mechanics,2002,6(1):73-90.
[9]吴有生,杜双兴.极大型海洋浮体结构的流固耦合分析[J].舰船科学技术,1995:1-9.Wu Y S,Du S X.Fluid-structure interaction analysis of very large floating structures[J].Ship Science and Technology,1995:1-9.
[10]Fu S,Moan T,Chen X,Cui W.Hydroelastic analysis of flexible floating interconnected structures[J].Ocean Engineering,2007,34(11):1516-1531.
[11]宋皓,崔维成,刘应中.底部呈二维缓变情况下超大型浮体水弹性响应的两种计算方法比较[J].海洋工程,2005,23(4):1-8.Song H,Cui W C,Liu Y Z.Comparison of two numerical methods for prediction of hydroelastic responses of VLFS on2D mild variable bottom[J].Ocean Engineering,2005,23(4):1-8.
[12]Chen X,Wu Y,Cui W,Jensen J.Review of hydroelasticity theories for global response of marine structures[J].Ocean Engineering,2006,33(3):439-457.
[13]Lu D,Fu S,Zhang X,Guo F,Gao Y.A method to estimate the hydroelastic behaviour of VLFS based on multi-rigidbody dynamics and beam bending[J].Ships and Offshore Structures,2016:1-9.
[14]Wei W,Fu S,Moan T,Deng S,Lu Z.A discrete-modules-based frequency domain hydroelasticity method for floating structures in inhomogeneous sea conditions[J].Journal of Fluids and Structures,2017,74:321-339.
[2]Palo P.Mobile offshore base:Hydrodynamic advancements and remaining challenges[J].Marine Structures,2005,18(2):133-147.
[3]Lie H,Fu S,Fylling I,Fredriksen A G,Bonnemaire B,Kjersem G L.Numerical modelling of floating and submerged bridges subjected to wave,current and wind[C].Proc.ASME 2016 35th International Conference on Ocean,Offshore and Arctic Engineering,OMAE2016-54851,2016.
[4]Yang P,Gu X,Tian C,Liu X.Motion responses of floating structures near small islands[C].Proc.ASME 2015 34th International Conference on Ocean,Offshore and Arctic Engineering,OMAE2015-42396,2015.
[5]吴有生,田超,宗智,段文洋,顾学康.波浪环境下超大型浮式结构物的水弹性响应研究[C].第二十五届全国水动力学研讨会暨第十二届全国水动力学学术会议文集,2017.Wu Y S,Tian C,Zong Z,Duan W Y,Gu X K.Hydroelastic investigation on dynamic response of VLFS under wave environment near ocean island[C].Proceedings of the 25th National Conference on Hydrodynamics and 12th National Congress on Hydrodynamics,2017.
[6]Bishop R,Price W.On the relationship between‘dry modes’and‘wet modes’in the theory of ship response[J].Journal of Sound and Vibration,1976,45(2):157-164.
[7]Wu Y S.Hydroelasticity of floating bodies[D].Brunel,UK:University of Brunel,1984.
[8]崔维成.超大型海洋浮式结构物水弹性响应预报的研究现状和发展方向[J].船舶力学,2002,6(1):73-90.Cui W C.Current status and future directions in predicting the hydroelastic response of very large floating structures[J].Journal of Ship Mechanics,2002,6(1):73-90.
[9]吴有生,杜双兴.极大型海洋浮体结构的流固耦合分析[J].舰船科学技术,1995:1-9.Wu Y S,Du S X.Fluid-structure interaction analysis of very large floating structures[J].Ship Science and Technology,1995:1-9.
[10]Fu S,Moan T,Chen X,Cui W.Hydroelastic analysis of flexible floating interconnected structures[J].Ocean Engineering,2007,34(11):1516-1531.
[11]宋皓,崔维成,刘应中.底部呈二维缓变情况下超大型浮体水弹性响应的两种计算方法比较[J].海洋工程,2005,23(4):1-8.Song H,Cui W C,Liu Y Z.Comparison of two numerical methods for prediction of hydroelastic responses of VLFS on2D mild variable bottom[J].Ocean Engineering,2005,23(4):1-8.
[12]Chen X,Wu Y,Cui W,Jensen J.Review of hydroelasticity theories for global response of marine structures[J].Ocean Engineering,2006,33(3):439-457.
[13]Lu D,Fu S,Zhang X,Guo F,Gao Y.A method to estimate the hydroelastic behaviour of VLFS based on multi-rigidbody dynamics and beam bending[J].Ships and Offshore Structures,2016:1-9.
[14]Wei W,Fu S,Moan T,Deng S,Lu Z.A discrete-modules-based frequency domain hydroelasticity method for floating structures in inhomogeneous sea conditions[J].Journal of Fluids and Structures,2017,74:321-339.