Asymptotic Analysis of TLP Tendons and Risers
Publication: Journal of Engineering Mechanics
Volume 118, Issue 1
Abstract
Except for the presence of highly localized bending stresses near the supports, the behavior of a slender tendon or riser under axial tension is essentially similar to that of a stretched string. From the viewpoint of analysis, however, a tendon or riser is neither a string nor a conventional beam, thus suggesting the exploration of more suitable analytical techniques. The relative significance of the flexural stiffness of such a slender member can be expressed conveniently in terms of two perturbation parameters, one for each end of the member. Closed‐form asymptotic formulas are developed to depict, in an explicit and quantitative manner, the extent to which static or dynamic behavior of a tendon or riser may be affected by localized bending stresses near the supports. These formulas include, in particular, closed‐form expressions for distribution of localized bending stresses, effect of rotational springs at the supports, lateral vibration frequencies of tendon or riser, and corresponding mode shapes.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Cole, J. D. (1968). Perturbation methods in applied mathematics. Blaisdell Publishing Co., Waltham, Mass.
2.
Jefferys, E. R., and Patel, M. H. (1981). “Dynamic analysis models of the tension leg platform.” OTC Paper 4075, Offshore Technology Conference, Dallas, Tex.
3.
Kim, Y. C., and Triantafyllou, M. S. (1984). “The nonlinear dynamics of long, slender cylinders.” J. Energy Resour. Tech., 106(2), 250–256.
4.
Morse, P. M., and Feshbach, H. (1953). Methods of theoretical physics. McGraw‐Hill Book Co., Inc., Vol. II, New York, N.Y.
5.
Triantafyllou, M. S., Kim, Y. C., and Bliek, A. (1983). “The dynamics of the mooring legs of a tension leg platform.” 2nd Offshore Mech./Arctic Engrg. Symp., American Society of Mechanical Engineers (ASME), New York, N.Y., 15–21.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: Jan 1, 1992
Published in print: Jan 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.