 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| Yanhong Wang, Feng Xu, and Changqing Guo, "Stability of Fluid-Conveying Pipe in Mining Transportation System with Elastic Supports under Distributed Follower Force," Mech. Solids. 60 (1), 737-748 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
737-748 |
| DOI |
10.1134/S0025654424607092 |
| Title |
Stability of Fluid-Conveying Pipe in Mining Transportation System with Elastic Supports under Distributed Follower Force |
| Author(s) |
Yanhong Wang (School of Civil Engineering, University of South China, Hengyang, Hunan, 421001 China, 1716506151@qq.com)
Feng Xu (School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001 China, hsubong@usc.edu.cn)
Changqing Guo (School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001 China, GuoCQ@hotmail.com) |
| Abstract |
Stability analysis of a fluid-conveying pipe under coaction of distributed follower force and
elastic supports is conducted to work out problems like fluid-conveying pipe instability induced by
pipe-flow coupling vibration in the petrochemical, aerospace, deep sea and other important engineering fields. The elastic support and the differential equation of fluid-conveying pipe motion under the
coaction of flowing ore-water mixture and distributed follower force are established based on the
Dirac function and Bernoulli-Euler beam model. The Galerkin method is used to discretize the differential equation by taking the mode shape function of the beam as the trail function. The results show
that only flutter vibration instability occurs in the system when the elasticity coefficient is smaller than
a critical value, while both divergence instability and flutter vibration instability occur in the system
when the elasticity coefficient is larger than the critical value. With the increase of the distributed follower force, the critical velocity of instability decreases; the critical velocity of divergence instability is
independent of the mass ratio, but the critical velocity of flutter vibration instability increases with the
increase of the mass ratio. The research results provide a theoretical basis for the determination of critical flow velocity and cross-sectional dimensions within the fluid-conveying pipe, as well as the treatment of constraints at both ends. |
| Keywords |
fluid-conveying pipe, distributed follower force, elastic support, critical velocity, stability |
| Received |
17 December 2024 | Revised |
22 January 2025 | Accepted |
22 January 2025 |
| Link to Fulltext |
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