Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method
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Riser dynamic analysis.pdf
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Author(s) •
Cheng, Yongming
Vandiver, John Kim
Date Issued
July 2012
Journal
Volume 3: Pipeline and Riser Technology
Publisher
American Society of Mechanical Engineers
Citation
Cheng, Yongming, and J. Kim Vandiver. “Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method.” Volume 3: Pipeline and Riser Technology (July 1, 2012).
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Department of Ocean Engineering
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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.
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DOI of Published Version
https://doi.org/10.1115/OMAE2012-84142