首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Natural Frequencies and Mode Shapes of Drill Pipe in Subsea Xmas Tree Installation
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Natural Frequencies and Mode Shapes of Drill Pipe in Subsea Xmas Tree Installation

机译:海底圣诞树安装钻杆固有频率和振型

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摘要

In this study, experimental and numerical investigations on the vibration characteristics of a drill pipe during the lowering of a subsea Xmas tree were presented. A fourth-order partial differential equation with variable coefficients was established based on Euler-Bernoulli beam theory. The natural frequencies and mode shapes are obtained by using the differential transformation method. Four drill pipe models of different sizes were used in the experiments which were measured using piezoelectric acceleration sensors and fiber Bragg grating sensors, respectively. The factors that affect the natural frequencies and mode shapes, such as length, diameter, lumped mass, and boundary conditions, were analyzed. The results show that all factors have remarkable effects on the natural frequency, but changes in the length and diameter of the pipe have little effect on the mode shapes; the main factors affecting the mode shape are the boundary conditions and lumped mass. The results of the numerical calculation were validated by a comparison with the experimental results and showed good agreement.
机译:本研究对钻杆在海底圣诞树下降过程中的振动特性进行了实验和数值研究。基于欧拉-伯努利梁理论建立了具有可变系数的四阶偏微分方程。采用差分变换方法得到固有频率和振型。实验中使用了4个不同尺寸的钻杆模型,分别使用压电加速度传感器和光纤布拉格光栅传感器进行测量。分析了影响固有频率和振型的因素,如长度、直径、集总质量和边界条件。结果表明:各因素均对固有频率有显著影响,但管长和管径的变化对振型影响不大;影响振型的主要因素是边界条件和集总质量。数值计算结果与实验结果进行了对比验证,结果吻合较好。

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