Dynamic modeling of fluid-conveying pipes restrained by a retaining clip

IF 4.5 2区 工程技术 Q1 MATHEMATICS, APPLIED Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-22 DOI:10.1007/s10483-023-3016-9
Bo Dou, Hu Ding, Xiaoye Mao, Sha Wei, Liqun Chen
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Abstract

Although most pipes are restrained by retaining clips in aircrafts, the influence of the clip parameters on the vibration of the fluid-conveying pipe has not been revealed. By considering the clip width, a new dynamic model of a fluid-conveying pipe restrained by an intermediate clip is established in this paper. To demonstrate the necessity of the proposed model, a half pipe model is established by modeling the clip as one end. By comparing the two models, it is found that the half pipe model overestimates the critical velocity and may estimate the dynamical behavior of the pipe incorrectly. In addition, with the increase in the clip stiffness, the conversion processes of the first two modes of the pipe are shown. Furthermore, by ignoring the width of the clip, the effect of the flow velocity on the accuracy of a concentrated restraint clip model is presented. When the flow velocity is close to the critical velocity, the accuracy of the concentrated restraint clip model significantly reduces, especially when the width of the clip is large. In general, the contribution of this paper is to establish a dynamic model of the fluid-conveying pipe which can describe the influence of the clip parameters, and to demonstrate the necessity of this model.

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受固定卡箍约束的流体输送管道的动力学建模
虽然飞机上的管道大多采用固定卡箍,但卡箍参数对输送管道振动的影响尚未得到揭示。考虑夹片宽度,建立了受中间夹片约束的输送管道动力学模型。为了证明所提模型的必要性,将夹片建模为一端,建立了半管模型。通过对两种模型的比较,发现半管模型高估了临界速度,并可能错误地估计了管道的动力学行为。此外,随着夹紧刚度的增大,给出了管道前两种模态的转换过程。在忽略夹片宽度的情况下,给出了流速对集中约束夹片模型精度的影响。当流速接近临界流速时,集中约束夹片模型的精度显著降低,特别是当夹片宽度较大时。总的来说,本文的贡献在于建立了一个能够描述卡箍参数影响的流体输送管道动力学模型,并论证了该模型的必要性。
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来源期刊
CiteScore
6.70
自引率
9.10%
发文量
106
审稿时长
2.0 months
期刊介绍: Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.
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