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Green's function and finite element formulations for the dynamics of pipeline conveying fluid
Ships and Offshore Structures ( IF 1.7 ) Pub Date : 2021-03-11 , DOI: 10.1080/17445302.2021.1889239
Fong Kah Soon 1 , Tan Phey Hoon 1 , Mohamed Latheef 1 , A. Y. Mohd. Yassin 2
Affiliation  

ABSTRACT

Pipeline damage due to internal flow induced vibration is known to pose challenging problems in oil and gas industry. To reduce these problems, it is necessary to understand the vibration characteristics of the pipeline conveying fluid. The Winkler foundation is reported to have a stabilising effect to the pipeline structure in the literature. Therefore, in this study, dynamic analysis of pipeline conveying fluid mounted on the Winkler foundation is performed to obtain the force response of the pipeline. The partial differential equation of the pipeline conveying fluid subjected to several boundary conditions is solved numerically and analytically by using the finite element and Green's function method. The results of both methods are compared and validated against other numerical schemes and existing reported analytical data. The results indicate that Green's function is more accurate than finite element method in determining the forced response of the pipeline at a higher fluid velocity for simply supported and fixed supported pipeline. The findings in the present study provide the physical insight of the Coriolis force and Winkler foundation stiffness effect to the pipeline conveying fluid.



中文翻译:

管道输送流体动力学的格林函数和有限元公式

摘要

众所周知,由于内部流动引起的振动造成的管道损坏会给石油和天然气行业带来挑战。为了减少这些问题,有必要了解输送流体的管道的振动特性。据报道,Winkler 基础对文献中的管道结构具有稳定作用。因此,在本研究中,对安装在 Winkler 基础上的管道输送流体进行动态分析,以获得管道的受力响应。采用有限元和格林函数法对管道输送流体在多种边界条件下的偏微分方程进行数值解析求解。将两种方法的结果与其他数值方案和现有报告的分析数据进行比较和验证。结果表明,对于简支和固定支座管道,格林函数在确定管道在较高流体速度下的受迫响应方面比有限元法更准确。本研究中的发现提供了科里奥利力和温克勒基础刚度对管道输送流体的影响的物理洞察力。

更新日期:2021-03-11
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