Steady‐State Ice‐Structure Interaction Analysis
Publication: Journal of Engineering Mechanics
Volume 112, Issue 10
Abstract
Two‐dimensional elastic wave theory is utilized to investigate the steady‐state dynamic response of a cylindrical structure of elliptic cross section surrounded by an ice sheet of infinite extent. Fixed and frictionless boundary conditions at the ice‐structure interface are considered under both plane stress and plane strain conditions. Numerical results are presented which show the effect of structural geometry, direction and frequency of vibration, and choice of boundary conditions on the dynamic characteristics of the ice‐structure system. The analysis shows that the behavior of the ice‐structure system is primarily controlled by the associated damping effects rather than the added mass. These results provide a measure of ice sheet resistance to the vibrational motion of structures surrounded by floating ice sheets and are applicable to the dynamic and seismic analysis of arctic offshore platforms.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Blanch, G. “Numerical Aspects of Mathieu Eigenvalues,” Rend. Circ. Mat. Palermo (2), Vol. 15, 1966, pp. 51–97.
2.
Blanch, G., and Clemm, D. S., Tables Relating to the Radial Mathieu Functions (2 vol.), U.S. Govt. Printing Office, Washington, D.C., 1965.
3.
Clemm, D. S. “Algorithm 352, Characteristic Values and Associated Solutions of Mathieu's Differential Equation,” Comm. Assoc. Comp. Machinery, Vol. 12, 1969, pp. 399–407.
4.
Gold, L. W., and Krausz, A. S., “Investigation of the Mechanical Properties of St. Lawrence River Ice,” Can. Geotechnical Journal, Vol. 8, 1971.
5.
Luk, C. H., “In‐Plane Structure Vibration Analysis by Two Dimensional Elastic Wave Theory,” Journal of Energy Resources Technology, ASME, Vol. 106, No. 2, 1984, pp. 160–168.
6.
Malvern, L. E., Introduction to the Mechanics of a Continuous Medium, Prentice Hall Inc., Englewood Cliffs, N.J., 1969.
7.
McLachlan, N. W., Theory and Application of Mathieu Functions, Oxford Press, England, 1947.
8.
National Bureau of Standards, “Tables Relating to Mathieu Functions,” Appl. Math. Ser. 59, U.S. Govt. Printing Office, Washington, D.C., 1967.
9.
Reinicke, K., “Analytical Approach for Determination of Ice Forces Using Plasticity Theory,” IUTAM Symposium on Physics and Mechanics of Ice, 1980, pp. 325–341.
10.
Weeks, W. F., and Assur, A. “The Mechanical Properties of Sea Ice,” Conf. on Ice Pressures Against Structures, Laval University, Quebec, Canada, 1966.
11.
Williams, A. N., and Vipulanandan, C. “Dynamic Ice‐Structure Interaction Analysis Using Elastic Wave Theory,” Department of Civil Engineering, University of Houston, Houston, Tex., 1986.
Information & Authors
Information
Published In
Copyright
Copyright © 1986 ASCE.
History
Published online: Oct 1, 1986
Published in print: Oct 1986
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.