系泊缆索动力分析中Newmark-β迭代解法的计算效率
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摘要
Newmark-β迭代法是系泊缆索动力分析中应用广泛的一种数值求解方法,为分析该数值方法的计算效率,对其进行深入研究,讨论各要素对计算耗时的影响。研究发现,单元数对计算耗时的影响比较敏感,适当增大时间步长可以缩短计算耗时。合理控制每个时间步的最大迭代次数,能够有效减少计算耗时,同时计算精度也能得到保证。在系泊浮体动力耦合分析的弱耦合算法中,各根系泊缆索动力响应是独立求解的。所开展的多根系泊线并行计算显著提高了计算效率。
Newmark-βiteration method is a numerical method widely used in dynamic analysis of mooring lines which shows advantage of good numerical stability and is adapted to large time marching step.This method is deeply studied to discuss the influences of various factors on the computing efficiency for dynamics of moorings.It is found that the element number is sensitive to the time consuming,and properly increasing time step is also beneficial for time consuming reduction.It is also verified that controlling the maximum iteration steps properly per time step can reduce the consuming time efficiently and keep the numerical accuracy together.In the weak coupling algorithm of dynamic coupling analysis of floating structures,dynamic response of each mooring is solved separatedly.The parallel computing is studied to compute the dynamic response of moorings together.It is found that the computing efficiency is significantly improved.
Newmark-βiteration method is a numerical method widely used in dynamic analysis of mooring lines which shows advantage of good numerical stability and is adapted to large time marching step.This method is deeply studied to discuss the influences of various factors on the computing efficiency for dynamics of moorings.It is found that the element number is sensitive to the time consuming,and properly increasing time step is also beneficial for time consuming reduction.It is also verified that controlling the maximum iteration steps properly per time step can reduce the consuming time efficiently and keep the numerical accuracy together.In the weak coupling algorithm of dynamic coupling analysis of floating structures,dynamic response of each mooring is solved separatedly.The parallel computing is studied to compute the dynamic response of moorings together.It is found that the computing efficiency is significantly improved.
引文
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[2] RAN Z.Coupled Dynamic Analysis of Floating Structures in Waves and Current[D].Texas,College Station:Texas A&M University,2000.
[3] GARRET D L.Coupled Analysis of Floating Production Systems[J].Ocean Engineering,2005,32(07):802-816.
[4] KIM J W,KYOUNG J H,SABLOK A.Application of Viscoelastic Model for Polyester Mooring[C]//Proceedings of the ASME 29th International Conference on Ocean,Offshore and Arctic Engineering,Shanghai,China,2010.
[5] ZHANG F,YANG J M,LI R P,et al.Coupling Effects for Cell-Truss Spar Platform:Comparison of Frequency and Time-Domain Analysis with Model Test[J].Journal of Hydrodyanmics,2008,20(04):424-432.
[6]袁梦.深海浮式结构物系泊系统的非线性时域分析[D].上海:上海交通大学,2011.
[7]杨敏冬.深水浮式结构与系泊/立管系统的全时域非线性耦合动态分析[D].大连:大连理工大学,2012.
[8] JING X,WEBSTER W C,XU Q,et al.Coupled Dynamic Modeling of a Moored Floating Platform with Risers[C]//Proceedings of the ASME 30th International Conference on Ocean,Offshore and Arctic Engineering,Rotterdam,Netherlands,2011.
[9] MA S,DUAN W Y.Asynchronous Coupling Analysis of Dynamic Response for Deepwater Moored Floating Platform[C]//Proceedings of the 8th International Workshop on Ship Hydrodynamics,Seoul,Korea,2013.
[10] MA S,DUAN W Y,YANG Z G.Asynchronous Coupled Analysis of a Single Point Moored FPSO[C]//10th International Conference on Hydrodynamics,Petersburg,Russia,2012.
[11]MA S,DUAN W Y,HAN X L.Dynamic Asynchronous Coupled Analysis and Experimental Study for a Turret Moored FPSO in Random Seas[J].Journal of Offshore Mechanics and Arctic Engineering,2015,137(04).
[12]丁佐鹏,马山,段文洋,等.系泊系统耦合动力分析不同解法的比较研究[J].江苏科技大学学报,2015,29(03):223-228.
[13] GARRET D L.Dynamic Analysis of Slender Rods[C]//Proceedings of the 1st International OMAE Conference,Dallas,America,1982.
[14] MA W,WEBSTER W C.Analytical Approach to Cable Dynamics:Theory and User Manual[R].1994.
[15]唐友刚,张若瑜,刘利琴,等.深海系泊系统动张力有限元计算[J].海洋工程,2009,27(04):10-15.
[16]马刚.深水柔性构件非线性动力响应研究[D].哈尔滨:哈尔滨工程大学,2013.
[17]袁梦,范菊,缪国平,等.非线弹性系泊缆系泊性能[J].上海交通大学学报,2010,44(06):820-827.
[18] CHEN X H.Studies on Dynamic Interaction Between Deep-Water Floating Structures and Their Mooring/Tendon Systems[D].Texas,College Station:Texas A&M University,2002.
[19]范盛金.一元三次方程的新求根公式与新判别法[J].海南师范学院学报(自然科学版),1989,2(02):91-98.