考虑摩擦的脐带缆静强度参数敏感性分析
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摘要
脐带缆的静强度解析模型不考虑其内部构件间的摩擦,因此无法准确分析脐带缆变形及受力情况,局限性较大。鉴于此,基于螺旋缠绕圆柱分析方法,采用ANSYS软件建立脐带缆多层滑移接触摩擦有限元模型,分别采用梁单元和实体单元模拟铠装钢丝和直构件,设置线线接触、线面接触模拟构件之间的接触摩擦,对脐带缆进行了静强度分析,计算其截面拉伸刚度和弯曲刚度,通过对比有限元计算结果与解析计算结果,验证了数值模拟方法的正确性。在此基础上,从钢丝缠绕角度、钢丝直径、摩擦因数及外压等因素入手,对其截面力学性能进行参数敏感性分析。分析结果表明:考虑接触摩擦的有限元模拟能够更加准确地展现脐带缆的变形及应力分布情况,且其截面性能受钢丝缠绕角度、钢丝直径、摩擦因数及外压等因素影响明显。研究结果可为脐带缆的截面设计及优化提供技术支持。
The static strength analytical model of umbilical cable,which does not consider the friction between its internal components,cannot accurately analyze the deformation and stress of the umbilical cable,presenting a large limitation. To address the problem,based on the helix winding cylindrical analysis method,the finite element model of umbilical cable with multi-layer sliding contact friction was established using ANSYS. The static strength analysis of the umbilical cable was carried out to calculate the tensile stiffness and bending stiffness of its cross section. The numerical simulation method was verified by the comparison of finite element calculation and the analytical calculation. On this basis,parameter sensitivity analyses of the mechanical properties of the umbilical cable cross-section were carried out from the helix angle,wire diameter,friction factor and external pressure. The analysis results showed that the finite element simulation considering contact friction can more accurately show the deformation and stress distribution of the umbilical cable. The umbilical cable cross-section performance was obviously affected by the helix angle,wire diameter,friction factor and external pressure. The study results can provide technical support for the cross-section design and optimization of the umbilical cable.
The static strength analytical model of umbilical cable,which does not consider the friction between its internal components,cannot accurately analyze the deformation and stress of the umbilical cable,presenting a large limitation. To address the problem,based on the helix winding cylindrical analysis method,the finite element model of umbilical cable with multi-layer sliding contact friction was established using ANSYS. The static strength analysis of the umbilical cable was carried out to calculate the tensile stiffness and bending stiffness of its cross section. The numerical simulation method was verified by the comparison of finite element calculation and the analytical calculation. On this basis,parameter sensitivity analyses of the mechanical properties of the umbilical cable cross-section were carried out from the helix angle,wire diameter,friction factor and external pressure. The analysis results showed that the finite element simulation considering contact friction can more accurately show the deformation and stress distribution of the umbilical cable. The umbilical cable cross-section performance was obviously affected by the helix angle,wire diameter,friction factor and external pressure. The study results can provide technical support for the cross-section design and optimization of the umbilical cable.
引文
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[8]杨志勋.脐带缆结构设计与分析方法研究[D].大连:大连理工大学,2012.YANG Z X.Investigation of structural design and analysis method for umbilical cable[D].Dalian:Dalian U-niversity of Technology,2012.
[9]卢青针,肖能,阎军.钢管脐带缆弯曲刚度有限元分析[J].计算机辅助工程,2011,20(2):16-19.LU Q Z,XIAO N,YAN J.Finite element analysis on bending stiffness of steel tube umbilical cable[J].Computer Aided Engineering,2011,20(2):16-19.
[10]肖能,阎军,卢青针,等.钢管脐带缆拉伸行为的有限元分析[J].油气储运,2012,31(3):199-202.XIAO N,YAN J,LU Q Z,et al.Finite element analysis for steel tube umbilical cable under axial tension[J].Oil&Gas Storage and Transportation,2012,31(3):199-202.
[11]李伟民,郭海燕,牛建杰,等.海洋动态缆的截面布局及数值模拟研究[J].中国海洋大学学报(自然科学版),2016,46(8):131-136.LI W M,GUO H Y,NIU J J,et al.The sectional layout and numerical simulation study of marine dynamic cables[J].Periodical of Ocean University of China,2016,46(8):131-136.
[12]KNAPP R H.Derivation of a new stiffness matrix for helically armoured cables considering tension and torsion[J].International Journal for Numerical Methods in Engineering,1979,14(4):515-529.
[13]WITZ J A,TAN Z.On the flexural structural behaviour of flexible pipes,umbilicals and marine cables[J].Marine Structures,1992,5(2):229-249.
[2]KNAPP R H,DAS S.Finite element stress analysis of cables[C]∥Oceans’99.MTS/IEEE.Riding the Crest into the 21st Century,[S.l.]:IEEE,1999:1026-1033.
[3]KNAPP R H.Structural analysis of composite umbilical cables[C]∥International Society of Offshore and Polar Engineers.Lisbon:[s.n.],2007:3487-3491.
[4]DIXON M A J,ZHAO T.3D modeling improves deepwater umbilical design dependability[C]∥Offshore Technology Conference,[S.l.]:OTC,2008.
[5]LECORRE V,PROBYN I.Validation of a 3-dimensional finite element analysis model of a deep water steel tube umbilical in combined tension and cyclic bending[C]∥Proceedings of the 28th International Conference on Offshore Mechanics and Artic Engineering,Honolulu:[s.n.],2009:120-128.
[6]MERINO H,SOUSA J R,MAGLUTA C,et al.Numerical and experimental study of a flexible pipe under torsion[C]∥ASME 29th International Conference on O-cean,Offshore and Arctic Engineering,Shanghai:[s.n.],2010:911-922.
[7]SVIK S,GJSTEEN J K.Strength analysis modelling of flexible umbilical members for marine structures[J].Journal of Applied Mathematics,2012(2):50-68.
[8]杨志勋.脐带缆结构设计与分析方法研究[D].大连:大连理工大学,2012.YANG Z X.Investigation of structural design and analysis method for umbilical cable[D].Dalian:Dalian U-niversity of Technology,2012.
[9]卢青针,肖能,阎军.钢管脐带缆弯曲刚度有限元分析[J].计算机辅助工程,2011,20(2):16-19.LU Q Z,XIAO N,YAN J.Finite element analysis on bending stiffness of steel tube umbilical cable[J].Computer Aided Engineering,2011,20(2):16-19.
[10]肖能,阎军,卢青针,等.钢管脐带缆拉伸行为的有限元分析[J].油气储运,2012,31(3):199-202.XIAO N,YAN J,LU Q Z,et al.Finite element analysis for steel tube umbilical cable under axial tension[J].Oil&Gas Storage and Transportation,2012,31(3):199-202.
[11]李伟民,郭海燕,牛建杰,等.海洋动态缆的截面布局及数值模拟研究[J].中国海洋大学学报(自然科学版),2016,46(8):131-136.LI W M,GUO H Y,NIU J J,et al.The sectional layout and numerical simulation study of marine dynamic cables[J].Periodical of Ocean University of China,2016,46(8):131-136.
[12]KNAPP R H.Derivation of a new stiffness matrix for helically armoured cables considering tension and torsion[J].International Journal for Numerical Methods in Engineering,1979,14(4):515-529.
[13]WITZ J A,TAN Z.On the flexural structural behaviour of flexible pipes,umbilicals and marine cables[J].Marine Structures,1992,5(2):229-249.