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Precise integration method for natural frequencies and mode shapes of ocean risers with elastic boundary conditions

机译：具有弹性边界条件的海洋立管固有频率和振型的精确积分方法

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摘要

The effects of the elastic constraints simulating damaged and undamaged boundaries on the natural frequencies and mode shapes of ocean risers with a variable axial tension are investigated using the precise integration method (PIM). The classical high-order variable-coefficient partial-differential governing equation of the free vibration of ocean risers is reduced to a set of first-order ordinary differential equations and efficiently solved by the PIM. The main advantages of the PIM are that the numerical results can be calculated with high accuracy even when total element numbern, number of iterationsNand Taylor expansion termsrare small. Moreover, the computing time is quite short. Various boundary conditions are modeled as linear elastic constraints using a pair of translational and torsional springs, and four types of boundary damage coefficients are proposed to investigate the effects of a damaged boundary on the natural frequencies. The results for specific boundary conditions show agreement with those reported in the literature, and the calculation errors are very small in comparison with the analytical solution. Overall, the methodology of PIM is applicable for the investigation of the natural frequencies and mode shapes of ocean risers with a variable axial tension and cross-section and various boundary conditions.
机译：使用精确积分法（PIM）研究了模拟约束的模拟约束和未破坏边界对具有可变轴向张力的海洋立管的固有频率和振型的影响。海洋立管自由振动的经典高阶变系数偏微分控制方程简化为一组一阶常微分方程，并由PIM有效求解。 PIM的主要优点是，即使总元素数n，迭代次数N和泰勒展开项很少，也可以高精度地计算数值结果。而且，计算时间很短。使用一对平移和扭转弹簧将各种边界条件建模为线性弹性约束，并提出了四种类型的边界损伤系数以研究损伤边界对固有频率的影响。特定边界条件的结果与文献报道的结果一致，并且与解析解相比，计算误差非常小。总体而言，PIM的方法适用于研究具有可变轴向张力和横截面以及各种边界条件的海洋立管的固有频率和振型。

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  • 来源
    《Applied Mathematical Modelling》 |2018年第9期|709-725|共17页
  • 作者

    Xingkun Zhou; Menglan Duan; Joel Jurado Granados;

  • 作者单位

    Research Center of Ocean Engineering, Hangzhou Dianzi University,Institute for Ocean Engineering, China University of Petroleum-Beijing,International Center for Numerical Methods in Engineering, Technical University of Catalonia;

    Institute for Ocean Engineering, China University of Petroleum-Beijing;

    International Center for Numerical Methods in Engineering, Technical University of Catalonia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Ocean riser; Precise integration method; Elastic boundary; Natural frequencies; Boundary damage;

    机译：海洋立管;精细积分法;弹性边界;自然频率;边界破坏;

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