考虑几何非线性海底悬跨管道随机振动分析方法
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摘要
考虑海底悬跨管道的几何非线性特征,建立了悬跨管道非线性随机振动响应分析方法。该方法结合模态分析,首先把系统隐式的非线性项转化为由模态坐标高次组合表示的显式非线性项,在此基础上引入虚拟激励法,建立结构在随机流力作用下的等效线性化系统,从而确定结构非线性随机响应。通过对某一海底管道的分析结果,表明该方法能够有效的考虑几何非线性的影响且具有很高的计算效率。同时分析了悬跨长度、管道外径和残余应力因素对计算结果的敏感性。结果表明:当悬跨长度达到较大跨度后,忽略结构几何非线性的影响,将会导致较大的误差;在较大的跨距、较浅的水深、较小的外径、初始压应力这些因素下,管道响应幅值较大。因此在这些因素存在时,要引起高度的关注。
By considering the geometrical nonlinearity, a new method for the nonlinear random vibration of a free spanning submarine pipeline is presented. Firstly, using modal analysis, the implicit system is represented as an explicit nonlinear system whose nonlinear terms are based on the combination of modal coordinates. Secondly, using the pseudo-excitation method, the stochastic equivalent linear system is established. Based on the equivalent linear system, the nonlinear response of the pipeline can be gained conveniently. The proposed method is used in the analysis of a suspended pipeline. The results show that the method can consider geometric nonlinearity and has high efficiency. The influences of the spans, water-depths, diameters and residual stresses are analyzed. The results show that the geometrical nonlinearity has a significant influence when the span was long. And the responses are remarkable when the span is long, the water-depth is shallow, the diameter is small and the initial compression stress is high. It implies that the considerable attention should be paid when these conditions exist in free spanning submarine pipelines.
By considering the geometrical nonlinearity, a new method for the nonlinear random vibration of a free spanning submarine pipeline is presented. Firstly, using modal analysis, the implicit system is represented as an explicit nonlinear system whose nonlinear terms are based on the combination of modal coordinates. Secondly, using the pseudo-excitation method, the stochastic equivalent linear system is established. Based on the equivalent linear system, the nonlinear response of the pipeline can be gained conveniently. The proposed method is used in the analysis of a suspended pipeline. The results show that the method can consider geometric nonlinearity and has high efficiency. The influences of the spans, water-depths, diameters and residual stresses are analyzed. The results show that the geometrical nonlinearity has a significant influence when the span was long. And the responses are remarkable when the span is long, the water-depth is shallow, the diameter is small and the initial compression stress is high. It implies that the considerable attention should be paid when these conditions exist in free spanning submarine pipelines.
引文
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[3]Xu T,Lauridsen B,Bai Y.Wave-induced fatigue of multi-span pipelines[J].Marine Structures,1999,12(2):83―106.
[4]Nguyen P,Kocabiyik S.On a translating and transversely oscillating cylinder.Part1-The effect of the strouhal number on the hydrodynamic forces and the near-wake structure[J].Ocean Engineering,1997,24(8):677―693.
[5]署恒木,黄小光.三维海底悬空管道的随机振动分析[J].中国海洋平台,2006,21(1):30―34.Shu Hengmu,Huang Xiaoguang.Analysis of random vibration of three-dimension submarine suspended pipeline[J].China Offshore Platform,2006,21(1):30―34.(in Chinese)
[6]余建星,罗延生,方华灿.海底管线管跨段涡激振动响应的实验研究[J].地震工程与工程振动,2001,21(4):93―97.Yu Jianxing,Luo Yansheng,Fang Huacan.A test study on dynamic response of submarine pipeline spans[J].Earthquake Engineering and Engineering Vibration,2001,21(4):93―97.(in Chinese)
[7]黄维平,王爱群,李华军.海底管道悬跨段流致振动实验研究及涡激力模型修正[J].工程力学,2007,24(12):153―157.Huang Weiping,Wang Aiqun,Li Huajun.Experimental study on VIV of span of subsea pipeline and improved model of lift force[J].Engineering Mechanics,2007,24(12):153―157.(in Chinese)
[8]吴钰骅,金伟良,毛根海.海底输油管道底砂床冲刷机理研究[J].海洋工程,2006,24(4):43―48.Wu Yuhua,Jin Weiliang,Mao Genhai.Study on the scour mechanism of sandy seabed below submarine pipelines[J].The Ocean Engineering,2006,24(4):43―48.(in Chinese)
[9]Yang B,Gao F P,Jeng D S,Wu Y X.Experimental study of vortex-induced vibrations of a pipeline near an erodible sandy seabed[J].Ocean Engineering,2008,35(3-4):301―309.
[10]何勇.随机荷载作用下海洋柔性结构非线性振动响应分析方法[D].杭州:浙江大学,2007.He Yong.Study on the non-linear response of flexible offshore structures under stochastic loading[D].Hangzhou:Zhejiang University,2007.(in Chinese)
[11]Yong B.Pipelines and risers[M].Oxford:Elsevier Science Ltd,2004.
[12]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.Lin Jiahao,Zhang Yahui.Pseudo-excitation method for random vibration[M].Beijing:Science Press,2004.(in Chinese)
[13]Hallam M G,Heaf N J,Wootton L R.海洋建筑物动力学[M].北京:海洋出版社,1981.Hallam M G,Heaf N J,Wootton L R.Dynamics of marine structures[M].Beijing:Ocean Press,1981.(in Chinese)
[14]Blevins R D.流体诱发振动[M].北京:机械工业出版,1983.Blevins R D.Flow-induced vibration[M].Beijing:China Machine Press,1983.(in Chinese)
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