Stability analysis of a vertical cantilever pipe with lumped masses conveying two-phase flow

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2024-10-11 DOI:10.1016/j.tws.2024.112537

Xiao Wang , Guangming Fu , Huilin Jiao , Boying Wang , Baojiang Sun , Jian Su

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引用次数: 0

Abstract

This study investigates the vibration behavior of a vertical cantilever pipe conveying gas–liquid two-phase flow, focusing on the influence of lumped masses attached to the vertical cantilevered pipe. The governing motion equation based on small deflection Euler–Bernoulli beam theory is solved by using the generalized integral transforms technique. The proposed solution approach was first validated against available numerical and experimental results in the literature. The effects of the mass ratios, number and position of lumped masses on the stability of the pipe are investigated. Numerical results show that the parameters of the lumped masses affect significantly the stability of the pipe conveying two-phase flow, by altering the fluid–structure interaction dynamics and impacting natural frequencies and vibration modes of the pipe. Specifically, as the position of a single lumped mass moves downward from the fixed end to the free end, the critical flow velocity initially increases and subsequently decreases, thereby reducing the stability of pipe. Moreover, increasing the number of lumped masses significantly impacts the critical flow velocity due to the mass ratios and locations. Notably, modal “jumping” phenomena are observed, which demonstrate continuous shifts between equilibrium and non-equilibrium states in the cantilever pipes. These findings are crucial for ensuring the safe operation of pipes with discrete masses across various engineering applications.

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带有块状质量的垂直悬臂管道输送两相流的稳定性分析

本研究探讨了输送气液两相流的垂直悬臂管的振动行为，重点是附着在垂直悬臂管上的块状质量的影响。基于小挠度欧拉-伯努利梁理论的支配运动方程采用广义积分变换技术求解。首先根据文献中的数值和实验结果对所提出的求解方法进行了验证。研究了质量比、块状质量的数量和位置对管道稳定性的影响。数值结果表明，通过改变流体与结构的相互作用动力学并影响管道的固有频率和振动模式，质量块的参数对输送两相流管道的稳定性有很大影响。具体来说，当单个块状质量的位置从固定端向下移动到自由端时，临界流速最初会增大，随后会减小，从而降低管道的稳定性。此外，由于质量比和位置的不同，增加叠加质量的数量也会对临界流速产生显著影响。值得注意的是，还观察到了模态 "跳跃 "现象，表明悬臂管道在平衡和非平衡状态之间不断转换。这些发现对于确保各种工程应用中具有离散质量的管道的安全运行至关重要。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.