Semi-analytical solution for dynamic behavior of a fluid-conveying pipe with different boundary conditions
Liang, Xu and Zha, Xing and Jiang, Xue and Wang, Lizhong and Leng, Jianxing and Cao, Zeng (2018) Semi-analytical solution for dynamic behavior of a fluid-conveying pipe with different boundary conditions. Ocean Engineering, 163. pp. 183-190. ISSN 0029-8018 (https://doi.org/10.1016/j.oceaneng.2018.05.060)
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Abstract
This paper analyzes the dynamic behavior of a fluid-conveying pipe with different pipe end boundary conditions. The pipe is considered to be an Euler-Bernoulli beam, and a motion equation for the pipe is derived using Hamilton's principle. A semi-analytical method, which includes the differential quadrature method (DQM) and the Laplace transform and its inverse, is used to obtain a model for the dynamic behavior of the pipe. The use of DQM provides a solution in terms of pipe length whereas use of the Laplace transform and its inverse produce a solution in terms of time. An examination of the results of sampling pipe displacement at different numbers of sample points along the pipe length shows that the method we developed has a fast convergence rate. The frequency and critical velocity of the fluid-conveying pipe derived by DQM are exactly the same as the exact solution. The numerical results given by the model match well with the result obtained using the Galerkin method. The effect on pipe displacement of the pipe end boundary conditions is investigated, and it increases with an increase in the edge degrees of freedom. The results obtained in this paper can serve as benchmark data in further research.
ORCID iDs
Liang, Xu, Zha, Xing, Jiang, Xue ORCID: https://orcid.org/0000-0001-9860-8580, Wang, Lizhong, Leng, Jianxing and Cao, Zeng;-
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Item type: Article ID code: 69183 Dates: DateEvent1 September 2018Published15 June 2018Published Online28 May 2018AcceptedSubjects: Naval Science > Naval architecture. Shipbuilding. Marine engineering Department: Faculty of Engineering > Naval Architecture, Ocean & Marine Engineering Depositing user: Pure Administrator Date deposited: 01 Aug 2019 13:31 Last modified: 29 Oct 2024 04:53 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/69183