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Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory / Anthony E. Muoka

DOI (Published version): 10.23889/Suthesis.48136

Abstract

The study of dynamics of pipes conveying fluid has been the subject of research for many decades now, and various formulations, solution methodologies and applica-tions have been developed. The topic is well understood but research in this area is ongoing as the study of the subject is far from trivi...

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Published: 2018
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa48136
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first_indexed 2019-01-10T14:00:58Z
last_indexed 2019-10-21T16:52:56Z
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spelling 2019-01-11T08:36:10.1814752 v2 48136 2019-01-10 Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory 2019-01-10 The study of dynamics of pipes conveying fluid has been the subject of research for many decades now, and various formulations, solution methodologies and applica-tions have been developed. The topic is well understood but research in this area is ongoing as the study of the subject is far from trivial. This is a classical model problem in the study of dynamics and stability of structures mainly because it is a physically simple system capable of displaying a wide array of interesting behaviour in both the linear and nonlinear regime. In this thesis, a geometrically exact fully implicit version of the 3D beam element, which employs the Rodrigues formula for the update of large rotations is used in the solution of the equations of motion. The nonlinear model for the flexible beam conveying fluid has been formulated and implemented to recover the interesting dynamic behaviour of the system in 3D. The advantage of this approach stems mainly from the fact that approach to engineer-ing problems depends upon the intended application, cost from a computational perspective, among other factors which may be taken into consideration, and this provides an alternative to existing approaches. Benchmark problems are presented in 2D and 3D, and confirm robustness and accuracy of the formulation. E-Thesis 31 12 2018 2018-12-31 10.23889/Suthesis.48136 A selection of third party content is redacted or is partially redacted from this thesis. COLLEGE NANME COLLEGE CODE Swansea University Doctoral Ph.D 2019-01-11T08:36:10.1814752 2019-01-10T11:12:26.6217244 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Anthony E. Muoka 1 48136__16346__3e6a9fc4c2744943a3e202ec668f1d19.pdf Muoka_Anthony_E_ PhD_Thesis_ Final_Redacted.pdf 2020-01-17T11:52:36.5892811 Output 5250310 application/pdf Redacted version - open access true true eng
title Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory
spellingShingle Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory
,
title_short Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory
title_full Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory
title_fullStr Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory
title_full_unstemmed Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory
title_sort Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory
author ,
author2 Anthony E. Muoka
format E-Thesis
publishDate 2018
institution Swansea University
doi_str_mv 10.23889/Suthesis.48136
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description The study of dynamics of pipes conveying fluid has been the subject of research for many decades now, and various formulations, solution methodologies and applica-tions have been developed. The topic is well understood but research in this area is ongoing as the study of the subject is far from trivial. This is a classical model problem in the study of dynamics and stability of structures mainly because it is a physically simple system capable of displaying a wide array of interesting behaviour in both the linear and nonlinear regime. In this thesis, a geometrically exact fully implicit version of the 3D beam element, which employs the Rodrigues formula for the update of large rotations is used in the solution of the equations of motion. The nonlinear model for the flexible beam conveying fluid has been formulated and implemented to recover the interesting dynamic behaviour of the system in 3D. The advantage of this approach stems mainly from the fact that approach to engineer-ing problems depends upon the intended application, cost from a computational perspective, among other factors which may be taken into consideration, and this provides an alternative to existing approaches. Benchmark problems are presented in 2D and 3D, and confirm robustness and accuracy of the formulation.
published_date 2018-12-31T03:58:26Z
_version_ 1763752967963410432
score 11.01353

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