MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS
Dynamic stability of a fluid-immersed, cracked pipe conveying fluid and resting on a Winkler elastic foundation
- 1 University of Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria
Abstract
The dynamic stability of a cracked pipeline resting on a Winkler elastic foundation and immersed in fluid that is moving with a particular velocity is investigated. The Galerkin method is employed to approach numerically the problem. Conclusions are drawn on the influence of the rigidity of the Winkler elastic foundation on the critical flow velocity of the pipe.
Keywords
References
- Q. Deng, Z. Yang, Wave propagation in Submerged Pipe Conveying Fluid, Acta Mechanica Solida Sinica, Volume 32, No.4, pp. 483 – 498 (2019)
- A. Hellum, R. Mukherjee, A. Hull, Flutter instability of a fluid-conveying fluid-immersed pipe affixed to a rigid body, Journal of Fluids and Structures, Volume 27 , pp. 1086-1096 (2011)
- O. Sadettin, Analysis of free and forced vibration of a cracked cantilever beam, NDT&E International, Volume 40, pp.443-450, (2007)
- C. Brennan, A review of added mass and fluid internal forces, Technical Report, Naval Civil Engineering Laboratory, (1982)
- J. Wu, P. Shih, The dynamic analysis of a multispan fluid-conveying pipe subjected to external load, Journal of sound and vibration, Volume 239(2), pp. 201-215, (2001)
- G. Eslami, et al., Effect of open crack on vibration behaviour of a fluid-conveying pipe embedded in a visco-elastic medium, Latin American Journal of Solids and Structures, Volume 13, pp. 136-154, (2016)
- S. In-Soo, et al., Dynamic behaviour of forced vibration of elastically restrained pipe conveying fluid with crack and concentrated mass, 9-th international Conference on Fracture & Strenght of Solids, Jeju, Korea, (2013)