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

doi:10.1007/s10483-023-3016-9

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (8): 1225-1240.doi: https://doi.org/10.1007/s10483-023-3016-9

• 论文 • 下一篇

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

Bo DOU^1,2, Hu DING^1,3, Xiaoye MAO^1,3, Sha WEI^1,3, Liqun CHEN^1,3

1. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;
2. State-owned Machinery Factory in Wuhu, Wuhu 241007, Anhui Province, China;
3. Shanghai Institute of Aircraft Mechanics and Control, Shanghai 200092, China

收稿日期:2023-03-15 修回日期:2023-05-22 出版日期:2023-08-01 发布日期:2023-07-27
通讯作者: Hu DING, E-mail: dinghu3@shu.edu.cn
基金资助:
the National Science Funds for Distinguished Young Scholars of China (No. 12025204) and the Shanghai Municipal Education Commission of China (No. 2019-01-07-00-09-E00018)

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

Bo DOU^1,2, Hu DING^1,3, Xiaoye MAO^1,3, Sha WEI^1,3, Liqun CHEN^1,3

1. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;
2. State-owned Machinery Factory in Wuhu, Wuhu 241007, Anhui Province, China;
3. Shanghai Institute of Aircraft Mechanics and Control, Shanghai 200092, China

Received:2023-03-15 Revised:2023-05-22 Online:2023-08-01 Published:2023-07-27
Contact: Hu DING, E-mail: dinghu3@shu.edu.cn
Supported by:
the National Science Funds for Distinguished Young Scholars of China (No. 12025204) and the Shanghai Municipal Education Commission of China (No. 2019-01-07-00-09-E00018)

摘要/Abstract

摘要： Although most pipes are restrained by retaining clips in aircraft, 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.

关键词: fluid-conveying pipe, retaining clip, natural frequency, mode, critical velocity

Abstract: Although most pipes are restrained by retaining clips in aircraft, 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.

Key words: fluid-conveying pipe, retaining clip, natural frequency, mode, critical velocity

中图分类号:

Bo DOU, Hu DING, Xiaoye MAO, Sha WEI, Liqun CHEN. Dynamic modeling of fluid-conveying pipes restrained by a retaining clip[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(8): 1225-1240.

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

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

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