考虑预应力分布的立管涡激振动特性分析

摘要/Abstract

摘要：

针对立管结构中存在着复杂预应力分布的现象，提出了考虑复杂预应力的立管涡激振动问题.基于梁结构理论，从应力应变方程出发，建立了含复杂预应力的立管结构运动控制微分方程.对剪切流作用下典型顶张立管的涡激振动问题进行了数值计算，对比了复杂预应力对立管结构的自然频率、振型及典型节点振动特性的影响.计算结果表明，复杂预应力的存在对立管结构的动力特性有着重要的影响，特别是结构自然频率.文中所提出的方法可为复杂载荷作用下的立管结构动力特性问题的研究提供新思路.

关键词: , 立管；预应力；涡激振动；动力特性

Abstract:

In present research, the problem of vortexinduced vibration (VIV) of marine riser structure with complex prestress force distribution is considered. Based on the EulerBernoulli beam theory, according to the stressstrain formula, differential equations of the influence with complex prestress force distribution on riser structure are established. At the end, a toptensioned riser (TTR) which is under shear flow loading is taken as an example, the influence of natural frequency, mode shape, and VIV response characteristic by complex prestress force distribution are investigated. The result shows that the distribution of complex prestress force has a significant influence on the riser structural dynamic characteristics, especially on the natural frequency. It is shown that the method proposed in this research provides a new approach to analyze the VIV problem of riser structure with complex loading.

Key words: riser structure, prestress, vortexinduced vibration (VIV), dynamic characteristics

中图分类号:

O 323
U 674

陈炉云1，李磊鑫1,2，杨念1. 考虑预应力分布的立管涡激振动特性分析[J]. 上海交通大学学报（自然版）, 2017, 51(4): 476-.

CHEN Luyun1,LI Leixin1, 2,YANG Nian1. Analysis of VortexInduced Vibration of Marine Riser Under#br# the Consideration of Prestress Force Distribution[J]. Journal of Shanghai Jiaotong University, 2017, 51(4): 476-.

参考文献

［1］HSU C S. The response of a parametrically excited hanging string in fluid ［J］.Journal of Sound and Vibration, 1975, 39(3): 305316.
［2］VIOLETTE R, LANGRE E D, SZYDLOWSKI J. Computation of vortexinduced vibrations of long structures using a wake oscillator model: Comparison with DNS and experiments ［J］. Computers and Structures, 2007, 85(11/12/13/14): 11341141.
［3］DAHL J M, HOVER F S, TRIANTAFYLLOU M S. Two degree of freedom vortexinduced vibrations using a force assisted apparatus ［J］.Journal of Fluids and Structures, 2006, 22(6/7): 807818.
［4］WILLDEN R H J, GRAHAM J M R. Multimodal vortexinduced vibrations if a vertical riser pipe subject to a uniform current profile ［J］.European Journal of Mechanics B/Fluids, 2004, 23(1): 209218.
［5］张杰，唐友刚.深海立管固有振动特性的进一步分析［J］.船舶力学，2014,18(1/2): 165171.
ZHANG Jie, TANG Yougang. Further analysis on natural vibration of deepwater risers ［J］. Journal of Ship Mechanics, 2014, 18(1/2): 165171.
［6］唐友刚，邵卫东，张杰, 等.深海顶张力立管参激涡激耦合振动响应分析［J］.工程力学,2013，30(5)：282286.
TANG Tougang, SHAO Weidong, ZHANG Jie, et al. Dynamic response analysis for coupled parametric vibration and vortexinduced vibration of toptensioned riser in deepsea ［J］.Engineering Mechanics, 2013, 30(5):282286.
［7］雷松，张文首，赵岩，等.FDPSO 立管涡激振动响应分析［J］.工程力学,2010，27(Sup I)：294298.
LEI Song, ZHANG Wenshou, ZHAO Yan, et al. Influence of heave motion on vortexinduced vibration of FDPSO risers ［J］.Engineering Mechanics, 2010, 27(Sup I):294298.
［8］高云，付世晓，熊友明，等.表面粗糙度对立管涡激振动响应影响的试验研究［J］.船舶力学，2015,19(1/2): 115.
GAO Yun, FU Shixiao, XIONG Youming, et al. Experimental study of the effects of surface roughness on the vortexinduced vibration response of a riser ［J］. Journal of Ship Mechanics, 2015, 19(1/2): 115.
［9］HAMED E, FROSTIG Y. Natural frequencies of bonded and unbonded prestressed beamsprestress force effects ［J］. Journal of Sound and Vibration, 2006, 295(1):2839.
［10］NAGULESWARAN S. Transverse vibration of an uniform EulerBernoulli beam under linearly varying axial force ［J］. Journal of Sound and Vibration, 2004, 275(1/2): 4757.
［11］ZHANG Y L, GORMAN D G, REESE J M. A finite element method for modelling the vibration of initially tensioned thinwalled orthotropic cylindrical tubes conveying fluid ［J］. Journal of Sound and Vibration, 2001, 245(1): 93112.
［12］ZHANG Y L, DANIEL G G, JASON M R. Vibration of prestressed thin cylindrical shells conveying fluid ［J］. ThinWalled Structures, 2003, 41(3): 11031127.
［13］CHEN C S, CHENG W S, TAN A H. Nonlinear vibration of initially stressed plates with initial imperfections ［J］. ThinWalled Structures, 2005, 43 (1): 3345.
［14］MATSUNAGA H. Free vibration of thick circular cylindrieal shells subjected to axial stresses ［J］.Journal of Sound and Vibration, 1998, 221(l): l17.
［15］ZEINODDINI M, HARDING J E, PARKE G A R. Dynamic behaviour of axially preloaded tubular steel members of offshore structures subjected to impact damage ［J］. Ocean Engineering, 1999, 26 (10): 963978.
［16］陈炉云，李磊鑫，张裕芳.含局部预应力的圆柱壳结构声辐射特性分析［J］.上海交通大学学报,2014,48(8): 772777.
CHEN Luyun, LI Leixin, ZHANG Yufang. Characteristics analysis of structuralacoustic of cylindrical shell with prestress in local areas ［J］.Journal of Shanghai Jiao Tong University, 2014, 48(8): 772777.

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