Dynamic Stability Analysis with Additional Masses and Springs Stiffness in Vertical Cantilevered Pipes Conveying Fluid

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作者
Ma, Yongqi [1 ,3 ]
Shen, Yijun [3 ]
You, Yunxiang [1 ,2 ]
Feng, Aichun [1 ,2 ]
Chen, Ke [1 ,2 ]
机构
[1] State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai,200030, China
[2] Yazhou Bay Institute of Deepsea Technology, Shanghai Jiao Tong University, Sanya,572000, China
[3] State Key Laboratory of Marine Resource Utilization in South China Sea, Hainan University, Haikou,570228, China
关键词
Differentiation; (calculus); -; Stiffness;
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摘要
Based on Hamilton's principle a dynamics model of vertical cantilevered pipe conveying fluid containing lumped mass and spring stiffness are established, and its dynamic stability is investigated. The differential quadrature method is applied to solve the governing vibration equation subject to a lump of mass and spring. The numerical results are conducted to study the pipe instability performance with respect to various lumped masses, stiffness of the spring, mass-fluid ratio, gravity parameters, and the additional lump of massspring combined with gravity parameters. The results show that the additional lumped mass and the spring have significant effects on the critical velocity of the cantilevered pipe system, which is also related to the fluid mass ratio of the system. In addition, the critical velocity of the pipe is significantly increased when lumped mass and spring are attached to the free end of the vertical cantilever pipe within a certain range of fluid mass ratio. © 2023 Editorial office of Ship Building of China. All rights reserved.
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页码:212 / 222
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