Nonlinear Dynamics and Vibration Suppression of L-Shaped Pipes Conveying 2-Phase Flow

JIA Cheng; XING Haoran; WANG Qiang; YANG Baoshan; MA Yue; LI Mingqiang; LIU Huyang; WANG Leiheng; DAI Huliang

doi:10.21656/1000-0887.460098

Volume 47 Issue 3

Mar. 2026

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Article Navigation > Applied Mathematics and Mechanics > 2026 > 47(3): 263-272

JIA Cheng, XING Haoran, WANG Qiang, YANG Baoshan, MA Yue, LI Mingqiang, LIU Huyang, WANG Leiheng, DAI Huliang. Nonlinear Dynamics and Vibration Suppression of L-Shaped Pipes Conveying 2-Phase Flow[J]. Applied Mathematics and Mechanics, 2026, 47(3): 263-272. doi: 10.21656/1000-0887.460098

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Nonlinear Dynamics and Vibration Suppression of L-Shaped Pipes Conveying 2-Phase Flow

doi: 10.21656/1000-0887.460098

1. School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, P.R.China;
2. Offshore Oil Production Plant of Shengli Oilfield Branch of China Petroleum & Chemical Corporation, Dongying, Shandong 257000, P.R.China

Funds:

The National Science Foundation of China(12272140；12322201)

Received Date: 2025-05-16
Rev Recd Date: 2025-06-17

Available Online: 2026-04-01

Publish Date: 2026-03-01

Abstract

Abstract

Based on the Euler-Lagrange equations, the absolute nodal coordinate formulation (ANCF) was employed to establish a nonlinear dynamic model for cantilevered L-shaped pipes conveying 2-phase flow. The characteristics of uniformly bubbly 2-phase flow were considered. Firstly, the static deformation results from the theoretical model were compared and validated against the finite element method (FEM), and the effects of the gas volume fraction on pipe static deformation and stability were analyzed. Then, the nonlinear dynamic behaviors of the pipe were studied for different void fractions, with a focus on the effects of void fractions on bifurcation characteristics. Finally, an optimal support design is proposed to suppress pipe vibrations, and minimize both the displacement and strain amplitudes of the L-shaped pipe.
- 2-phase flow,
- void fraction,
- L-shaped cantilever pipe,
- optimal support position

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References(18)

References

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