About this Journal Submit a Manuscript Table of Contents
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 760939, 17 pages
http://dx.doi.org/10.1155/2013/760939
Research Article

Vibrations due to Flow-Driven Repeated Impacts

Department of Mechanical Engineering, University of Ottawa, 161 Louis Pasteur, Ottawa, ON, Canada K1N 6N5

Received 15 March 2013; Accepted 21 May 2013

Academic Editor: Jia-Jang Wu

Copyright © 2013 Sumin Jeong and Natalie Baddour. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. P. Dempsey, “Research trends in ice mechanics,” International Journal of Solids and Structures, vol. 37, no. 1-2, pp. 131–153, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. K. A. Blenkarn, “Measurement and analysis of ice forces on cook inlet structures,” in Proceedings of the Offshore Technology Conference (OTC '70), pp. 365–378, 1970.
  3. Y. Toyama, T. Sensu, M. Minami, and N. Yashima, “Model tests on ice-induced self-excited vibration of cylindrical structures,” in Proceedings of the 7th International Conference on Port and Ocean Engineering under Arctic Conditions, vol. 2, pp. 834–844, 1983.
  4. M. Ranta and R. Räty, “On the analytic solution of ice-induced vibrations in a marine pile structure,” in Proceedings of the 7th International Conference on Port and Ocean Engineering under Arctic Conditions, vol. 2, pp. 901–908, 1983.
  5. A. Barker, G. Timco, H. Gravesen, and P. Vølund, “Ice loading on Danish wind turbines—part 1: dynamic model tests,” Cold Regions Science and Technology, vol. 41, no. 1, pp. 1–23, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. D. S. Sodhi, “Ice-induced vibrations of structures,” Special Report 89-5, International Association for Hydraulic Research Working Group on Ice Forces, 1989.
  7. D. S. Sodhi and C. E. Morris, “Characteristic frequency of force variations in continuous crushing of sheet ice against rigid cylindrical structures,” Cold Regions Science and Technology, vol. 12, no. 1, pp. 1–12, 1986. View at Scopus
  8. D. S. Sodhi, C. E. Morris, and G. F. N. Cox, “Dynamic analysis of failure modes on ice sheets encountering sloping structures,” in Proceedings of the 6th International Conference on Offshore Mechanics and Arctic Engineering, vol. 4, pp. 281–284, 1987.
  9. H. R. Peyton, “Sea ice forces,” in Proceedings of the Conference on Ice Pressure against Structures, 1966.
  10. C. R. Neill, “Dynamic ice forces on piers and piles. an assessment of design guidelines in the light of recent research,” Canadian Journal of Civil Engineering, vol. 3, no. 2, pp. 305–341, 1976. View at Scopus
  11. G. Matlock, W. Dawkins, and J. Panak, “Analytical model for ice-structure interaction,” Journal of the Engineering Mechanics Division, pp. 1083–11092, 1971.
  12. M. M. Määttänen, “Ice-induced vibrations of structures self-excitation,” Special Report 89-5, International Association for Hydraulic Research Working Group on Ice Forces, 1989.
  13. M. M. Määttänen, “Numerical simulation of ice-induced vibrations in offshore structures,” in Proceedings of the 14th Nordic Seminar on Computational Mechanics, 2001, Keynote lecture.
  14. J. Xu and L. Wang, “Ice force oscillator model and its numerical solutions,” in Proceedings of the 7th International Conference on Offshore Machanics and Arctic Engineering, pp. 171–176, 1988.
  15. G. Tsinker, Marine Structures Engineering, Chapman-Hall, New York, NY, USA, 1st edition, 1995.
  16. G. Huang and P. Liu, “A dynamic model for ice-induced vibration of structures,” Journal of Offshore Mechanics and Arctic Engineering, vol. 131, no. 1, Article ID 011501, 6 pages, 2009. View at Publisher · View at Google Scholar · View at Scopus
  17. R. Frederking and J. Schwarz, “Model tests of ice forces on fixed and oscillating cones,” Cold Regions Science and Technology, vol. 6, no. 1, pp. 61–72, 1982. View at Scopus
  18. K. Hirayama and I. Obara, “Ice forces on inclined structures,” in Proceedings of the 5th International Offshore Mechanics and Arctic Engineering, pp. 515–520, 1986.
  19. Q. Yue and X. Bi, “Full-scale test and analysis of dynamic interaction between ice sheet and conical structure,” in Proceedings of the 14th International Association for Hydraulic Research (IAHR) Symposium on Ice, vol. 2, 1998.
  20. Q. Yue and X. Bi, “Ice-induced jacket structure vibrations in Bohai Sea,” Journal of Cold Regions Engineering, vol. 14, no. 2, pp. 81–92, 2000. View at Publisher · View at Google Scholar · View at Scopus
  21. Y. Qu, Q. Yue, X. Bi, and T. Kärnä, “A random ice force model for narrow conical structures,” Cold Regions Science and Technology, vol. 45, no. 3, pp. 148–157, 2006. View at Publisher · View at Google Scholar · View at Scopus
  22. X. Liu, G. Li, R. Oberlies, and Q. Yue, “Research on short-term dynamic ice cases for dynamic analysis of ice-resistant jacket platform in the Bohai Gulf,” Marine Structures, vol. 22, no. 3, pp. 457–479, 2009. View at Publisher · View at Google Scholar · View at Scopus
  23. X. Liu, G. Li, Q. Yue, and R. Oberlies, “Acceleration-oriented design optimization of ice-resistant jacket platforms in the Bohai Gulf,” Ocean Engineering, vol. 36, no. 17-18, pp. 1295–1302, 2009. View at Publisher · View at Google Scholar · View at Scopus
  24. B. Munson, D. Young, and T. Okiishi, Fundamentals of Fluid Mechanics, John Wiley & Sons, Ames, Iowa, USA, 4th edition, 2002.
  25. S. Salapaka, M. V. Salapaka, M. Dahleh, and I. Mezic, “Complex dynamics in repeated impact oscillators,” in Proceedings of the 37th IEEE Conference on Decision and Control (CDC '98), pp. 2053–2058, December 1998. View at Scopus
  26. A. Bedford and W. Fowler, Engineering Mechanics: Dynamics, Addison Wesley Longman, Inc., Menlo Park, Calif, USA, 2nd edition, 1999.
  27. T. Kärnä and R. Turunen, “Dynamic response of narrow structures to ice crushing,” Cold Regions Science and Technology, vol. 17, no. 2, pp. 173–187, 1989. View at Scopus
  28. E. Eranti, F. D. Hayes, M. M. Määttänen, and T. T. Soong, “Dynamic ice-structure interaction analysis for narrow vertical structures,” in Proceedings of the 6th International Conference on Port and Ocean Engineering under Arctic Conditions, vol. 1, pp. 472–479, 1981.
  29. L. Y. Shih, “Analysis of ice-induced vibrations on a flexible structure,” Applied Mathematical Modelling, vol. 15, no. 11-12, pp. 632–638, 1991. View at Scopus
  30. T. K. Kärnä, “Steady-state vibrations of offshore structures,” Hydrotechnical Construction, vol. 28, no. 9, pp. 446–453, 1994.
  31. C. W. de Silva, Vibration: Fundamentals and Practice, CRC Press LLC, Boca Raton, Fla, USA, 1st edition, 1999.
  32. H. J. Weaver, Applications of Discrete and Continuous Fourier Analysis, John Wiley & Sons, New York, NY, USA, 1st edition, 1983.