Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method
Risers are fluid conduits from subsea equipment to surface floating production platforms. The integrity of a riser system plays a very important role in deepwater developments. Riser dynamic analysis is an important part to the system design. This paper investigates riser dynamic analysis using the...
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American Society of Mechanical Engineers
2017
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Online Access: | http://hdl.handle.net/1721.1/109463 https://orcid.org/0000-0002-6144-660X |
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author | Cheng, Yongming Vandiver, John Kim |
author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Cheng, Yongming Vandiver, John Kim |
author_sort | Cheng, Yongming |
collection | MIT |
description | Risers are fluid conduits from subsea equipment to surface floating production platforms. The integrity of a riser system plays a very important role in deepwater developments. Riser dynamic analysis is an important part to the system design. This paper investigates riser dynamic analysis using the WKB-Based dynamic stiffness method. This paper first presents a theoretical formulation of the dynamic stiffness method. It then combines the dynamic stiffness method with the WKB theory, which assumes that the coefficients in the differential equation of motion are slowly varying. The WKB-based dynamic stiffness method is derived and a frequency dependent shape function is expressed implicitly. The Wittrick and Williams (W-W) algorithm is further extended to solve eigen value problem for a general non-uniform marine riser. Examples of non-uniform riser are analyzed and the results show the efficiency of this method. In addition, a pipe-in-pipe riser system is analyzed for natural frequencies and mode shapes using the WKB-based dynamic stiffness method with the W-W algorithm. The characteristic of the mode shapes is described for such a riser system. |
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format | Article |
id | mit-1721.1/109463 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T11:53:29Z |
publishDate | 2017 |
publisher | American Society of Mechanical Engineers |
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spelling | mit-1721.1/1094632022-09-27T22:39:44Z Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method Cheng, Yongming Vandiver, John Kim Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Department of Ocean Engineering Cheng, Yongming Vandiver, John Kim Risers are fluid conduits from subsea equipment to surface floating production platforms. The integrity of a riser system plays a very important role in deepwater developments. Riser dynamic analysis is an important part to the system design. This paper investigates riser dynamic analysis using the WKB-Based dynamic stiffness method. This paper first presents a theoretical formulation of the dynamic stiffness method. It then combines the dynamic stiffness method with the WKB theory, which assumes that the coefficients in the differential equation of motion are slowly varying. The WKB-based dynamic stiffness method is derived and a frequency dependent shape function is expressed implicitly. The Wittrick and Williams (W-W) algorithm is further extended to solve eigen value problem for a general non-uniform marine riser. Examples of non-uniform riser are analyzed and the results show the efficiency of this method. In addition, a pipe-in-pipe riser system is analyzed for natural frequencies and mode shapes using the WKB-based dynamic stiffness method with the W-W algorithm. The characteristic of the mode shapes is described for such a riser system. SHEAR7 JIP 2017-05-31T15:36:47Z 2017-05-31T15:36:47Z 2012-07 Article http://purl.org/eprint/type/ConferencePaper 978-0-7918-4490-8 http://hdl.handle.net/1721.1/109463 Cheng, Yongming, and J. Kim Vandiver. “Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method.” Volume 3: Pipeline and Riser Technology (July 1, 2012). https://orcid.org/0000-0002-6144-660X en_US http://dx.doi.org/10.1115/OMAE2012-84142 Volume 3: Pipeline and Riser Technology Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Society of Mechanical Engineers American Society of Mechanical Engineers (ASME) |
spellingShingle | Cheng, Yongming Vandiver, John Kim Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method |
title | Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method |
title_full | Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method |
title_fullStr | Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method |
title_full_unstemmed | Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method |
title_short | Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method |
title_sort | riser dynamic analysis using wkb based dynamic stiffness method |
url | http://hdl.handle.net/1721.1/109463 https://orcid.org/0000-0002-6144-660X |
work_keys_str_mv | AT chengyongming riserdynamicanalysisusingwkbbaseddynamicstiffnessmethod AT vandiverjohnkim riserdynamicanalysisusingwkbbaseddynamicstiffnessmethod |