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

Swansea University Author:

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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 Swansea University Doctoral Ph.D Peric, Djordje. ; Dettmer, Wulf G. https://cronfa.swan.ac.uk/Record/cronfa48136 No Tags, Be the first to tag this record!
first_indexed 2019-01-10T14:00:58Z 2019-01-10T14:00:58Z cronfa48136 RisThesis 2019-01-10T11:30:06Zv2481362019-01-10Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam TheoryAnthony E. MuokaAnthony E.Muokatruetruebf28fee0542417fa9e6bd1d7d6acc9a73a0a8bccba1598917f09b8337b9e1c5bNRv8R4ZWZJ6xFLXyJf+nIBbHhpNGhK+ZEf+BVPcHSeI=2019-01-10EENThe 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-Thesis0020182018-01-0110.23889/Suthesis.48136A selection of third party content is redacted or is partially redacted from this thesis.College of EngineeringEngineeringCENGEENSwansea UniversityPeric, Djordje. ; Dettmer, Wulf G.DoctoralPh.D2019-01-11T08:36:10Z2019-01-10T11:12:26ZCollege of EngineeringEngineeringAnthony E.Muoka10048136-10012019113006.pdfMuoka_Anthony_E___PhD_Thesis___Final_Redacted.pdf2019-01-10T11:30:06ZOutput5250310application/pdfETRVOAtruePublished to Cronfa10/01/20192019-01-09T00:00:00true 2019-01-10T11:30:06Z v2 48136 2019-01-10 Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory Anthony E. Muoka Anthony E. Muoka true true bf28fee0542417fa9e6bd1d7d6acc9a7 3a0a8bccba1598917f09b8337b9e1c5b NRv8R4ZWZJ6xFLXyJf+nIBbHhpNGhK+ZEf+BVPcHSeI= 2019-01-10 EEN 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 0 0 2018 2018-01-01 10.23889/Suthesis.48136 A selection of third party content is redacted or is partially redacted from this thesis. College of Engineering Engineering CENG EEN Swansea University Peric, Djordje. ; Dettmer, Wulf G. Doctoral Ph.D 2019-01-11T08:36:10Z 2019-01-10T11:12:26Z College of Engineering Engineering Anthony E. Muoka 1 0048136-10012019113006.pdf Muoka_Anthony_E___PhD_Thesis___Final_Redacted.pdf 2019-01-10T11:30:06Z Output 5250310 application/pdf ETRVOA true Published to Cronfa 10/01/2019 2019-01-09T00:00:00 true Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory Muoka, Anthony E. Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory Dynamics of Three-Dimensional Pipes Conveying Fluid Using the Reissner Beam Theory bf28fee0542417fa9e6bd1d7d6acc9a7 bf28fee0542417fa9e6bd1d7d6acc9a7_***_Muoka, Anthony E. Muoka, Anthony E. Anthony E. Muoka E-Thesis 2018 Swansea University 10.23889/Suthesis.48136 College of Engineering collegeofengineering College of Engineering collegeofengineering College of Engineering Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering 1 1 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. 2018-01-01T22:19:05Z 1642784668089581568 10.837508