海洋电缆弯曲加强器参数化设计与分析
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摘要
为建立海洋电缆弯曲加强器参数化设计方法,使用有限元模型进行了弯曲加强器设计参数研究。基于海缆及其弯曲加强器的几何结构及受力特点,建立了基于多相耦合梁单元的平面有限元模型,可以计算并分析海缆及其弯曲加强器在一定角度的张力作用下的形变与等效应力分布。通过多个案例系统性地分析了弯曲加强器的主要设计参数,即根部直径、锥体段长度及材料弹性模量,对海缆弯曲挠度、曲率及等效应力分布的影响。文中原创性地提出了弯曲加强器组合设计参数φ(t, L, E)。通过定量分析确定了其与海缆最大曲率之间的近似线性关系,并由此设计了参数化的弯曲加强器设计流程。通过设计实例验证了组合参数与海缆最大曲率之间关系的准确性和参数化设计流程的有效性。
In order to establish a parametric design methodology for marine cable bend stiffeners, a study on their design parameters is carried out using a finite element method. A planar finite element model based on coupled multi-profile beam elements is developed based on the geometric symmetry and load cases. The model can be used to solve for the deflection and equivalent stress distributions of the cable and its bend stiffener under the effect of a tension-angle combination. Multiple cases are analyzed to systematically study the effects of the design parameters, such as root diameter, cone length and elastic modulus of the bend stiffener on the deflection,curvature and stress distributions of the cable. A complex parameter φ(t, L, E) is defined. And its approximate linear relationship with the maximum curvature in the cable is determined through quantitative analysis, based on which a parametric design method of the bend stiffener is developed. A design case study is carried out to verify the parameter-curvature relationship, and to demonstrate the effectiveness of the parametric design process.
In order to establish a parametric design methodology for marine cable bend stiffeners, a study on their design parameters is carried out using a finite element method. A planar finite element model based on coupled multi-profile beam elements is developed based on the geometric symmetry and load cases. The model can be used to solve for the deflection and equivalent stress distributions of the cable and its bend stiffener under the effect of a tension-angle combination. Multiple cases are analyzed to systematically study the effects of the design parameters, such as root diameter, cone length and elastic modulus of the bend stiffener on the deflection,curvature and stress distributions of the cable. A complex parameter φ(t, L, E) is defined. And its approximate linear relationship with the maximum curvature in the cable is determined through quantitative analysis, based on which a parametric design method of the bend stiffener is developed. A design case study is carried out to verify the parameter-curvature relationship, and to demonstrate the effectiveness of the parametric design process.
引文
[1]Vaz M A,Lemos C A D.Non-linear analysis of bend stiffeners[J].Marine Systems&Ocean Technology,2004,1(1):25-31.
[2]Caire M,Vaz M A,Lemos C A D.Viscoelastic analysis of bend stiffeners[C]//Offshore Mechanics and Arctic Engineering,2005:OMAE 67321.
[3]Vaz M A,Lemos C A D,Caire M.A non-linear analysis formulation for bend stiffeners[J].Journal of Ship Research,2007,51(3):250-258.
[4]Tong D J,Low Y M,Sheehan J M.Nonlinear bend stiffener analysis using a simple formulation and finite element method[J].China Ocean Engineering,2011,25(4):577-590.
[5]席勇辉,阎军.基于异形梁模型的海洋柔性管缆防弯器数值模拟[J].计算机辅助工程,2014,23(3):60-64.XI Y,YAN J.Numerical simulation on bending stiffener of flexible marine pipe/cable based on special shape beam model[J].Computer Aided Engineering,2014,23(3):60-64.
[6]TANG M,YAN J.Nonlinear analysis and multi-objective optimization for bend stiffeners of flexible riser[J].J Mar Sci Technol,2015,20:591-603.
[7]荆彪,朱克强,杨然哲.海洋柔性立管弯曲加强器参数敏感性分析[J].海洋工程,2016,34(3):99-104.Jing B,Zhu K,Yang R.Parametric sensitivity analysis for bending stiffener of marine flexible riser[J].Ocean Engineering,2016,34(3):99-104.
[2]Caire M,Vaz M A,Lemos C A D.Viscoelastic analysis of bend stiffeners[C]//Offshore Mechanics and Arctic Engineering,2005:OMAE 67321.
[3]Vaz M A,Lemos C A D,Caire M.A non-linear analysis formulation for bend stiffeners[J].Journal of Ship Research,2007,51(3):250-258.
[4]Tong D J,Low Y M,Sheehan J M.Nonlinear bend stiffener analysis using a simple formulation and finite element method[J].China Ocean Engineering,2011,25(4):577-590.
[5]席勇辉,阎军.基于异形梁模型的海洋柔性管缆防弯器数值模拟[J].计算机辅助工程,2014,23(3):60-64.XI Y,YAN J.Numerical simulation on bending stiffener of flexible marine pipe/cable based on special shape beam model[J].Computer Aided Engineering,2014,23(3):60-64.
[6]TANG M,YAN J.Nonlinear analysis and multi-objective optimization for bend stiffeners of flexible riser[J].J Mar Sci Technol,2015,20:591-603.
[7]荆彪,朱克强,杨然哲.海洋柔性立管弯曲加强器参数敏感性分析[J].海洋工程,2016,34(3):99-104.Jing B,Zhu K,Yang R.Parametric sensitivity analysis for bending stiffener of marine flexible riser[J].Ocean Engineering,2016,34(3):99-104.