Application of Nonlinear Stochastic Mechanics in Offshore Engineering

  • Peter Bjerager
  • Ivar Langen
  • Steven R. Winterstein
  • Tom Marthinsen
  • Daniel Karunakaran
Conference paper
Part of the IUTAM Symposia book series (IUTAM)


Nonlinear stochastic mechanics are widely used in the field of offshore engineering. In this paper we survey four applications: nonlinear collapse and fatigue analysis of jacket structures, dynamic analysis of jack-up structures, springing and slow-drift response of a tension leg platform, and hysteretic foundation behavior of a concrete gravity platform.


Significant Wave Height Offshore Structure Extreme Response Inspection Planning Collapse Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Almar-Næss, A., Editor, (1985): “Fatigue Handbook for Offshore Steel Structures”, Tapir Publishers, Trondheim, Norway, 520 pages.Google Scholar
  2. Bjerager, P., A. Karamchandani and C.A. Cornell (1987): “Failure Tree Analysis in Structural System Reliability”, Proc. of 5th International Conference on Applications of Statistics and Probability in Soil and Structural Engineering, ICASP5, May 25–29, 1987, Vancouver, Canada.Google Scholar
  3. Bjerager, P., Loseth, R., Winterstein, S., and Cornell, C.A. (1988): Reliability Method for Marine Structures under Multiple Environmental Load Processes, Proceedings of 5th International Conference on the Behaviour of Offshore Structures, Vol. 3, Trondheim, Norway, pp. 1239–1253.Google Scholar
  4. Bysveen, S., A.G. Kjelås, J. Lereim and T. Marthinsen (1990): “Experience from Application of Probabilistic Methods in Offshore, Field Activities”, Proc. of OMAE’90, Houston, Texas, pp. 143–149.Google Scholar
  5. Carr, P., Clayton, M., Busby, P.L., and Dobson, J. (1986): “A Probabilistic Strategy for Subsea Inspection of Steel Structures”, Society of Petroleum Engineers, European Petroleum Conference, Paper No. SPE 15868, London, October, 1986.Google Scholar
  6. Curtis, L.B. (1984): “How Conoco Developed the Tension Leg Platform”, Ocean Industry, Vol. 19, No. 9, pp.35–46.Google Scholar
  7. De, R.S. and C.A. Cornell (1990): “Offshore Structural System Reliability: Wave-load Modeling, System Behaviour and Analysis”, PhD-Thesis, Report No. RMS-6, Department of Civil Engineering, Stanford University, California.Google Scholar
  8. Guenard, Y.F. (1984): “Application of System Reliability Analysis to Offshore Structures”, Report No. 71, John A. Blume Earthquake Engineering Center, Department of Civil Engineering, Stanford University, California.Google Scholar
  9. Holm, C.A., P. Bjerager and H.O. Madsen (1989): “Long Term System Reliability of Offshore Jacket Structures”, Proceedings of 2nd IFIP Working Conference on Reliability and Optimization of Structural Systems, London. September 26–28, 1989, ed. by P. Thoft-Christensen, Lecture Notes in Civil Engineering, Springer Verlag.Google Scholar
  10. Fames, K.-A. (1990): “Long Term Statistics of Response in Nonlinear Marine Structures”, Dr. ing. thesis, Norwegian Institute of Technology, No. 1990:60, Trondheim, Norway.Google Scholar
  11. Haver, S. and K.A. Nyhus (1986): “A Wave Climate Description for Long Term Response Calculations”, Proc, 5th Intl. Offshore Mech. Arctic Eng. Symp., ASME, Vol. IV, pp. 27–34.Google Scholar
  12. Hellan, Ø. (1990): “USFOS: A Computer Program for Progressive Collapse Analysis of Steel Offshore Structures”, SINTEF Report No. STF71 A90001, Trondheim, Norway.Google Scholar
  13. Kac, M. and A.J.F. Siegelt (1947): “On the Theory of Noise in Radio Receivers with Square Law Detectors” Journal Appl. Phys., Vol. 18, pp. 383–400.CrossRefADSGoogle Scholar
  14. Karamchandani, A., Dalane, J.I., and Bjerager, P. (1991a): “A Systems Approach to Fatigue of Structures”. To appear in Journal of Structural Engineering, ASCE.Google Scholar
  15. Karamchandani, A.K., Dalane, J.I., and Bjerager, P. (1991b): “Systems Reliability of Offshore Structures including Fatigue and Extreme Wave Loading”. To appear in Journal of Marine Structures.Google Scholar
  16. Karsan, D.I., and Kumar, A. (1990): “Fatigue Failure Paths for Offshore Platform inspection”. Journal of Structural Engineering, ASCE, Vol. 116, No. 6, pp. 1679–1695.CrossRefGoogle Scholar
  17. Karunakaran, D. (1990): “Long Term Response Analysis of Dynamically Sensitive Jack-up Platforms”, SINTEF Report STF71 A90028, Trondheim, Norway.Google Scholar
  18. Karunakaran, D. (1991): “Procedure for Nonlinear Dynamic Response Analysis of Offshore Structures-Both for Extreme and Fatigue Response”, SINTEF Report STF71 A91016, Trondheim, Norway.Google Scholar
  19. Karunakaran, D., N. Spidsøe and O.T. Gudmestad (1991a): “Selection of Design Sea States for Jack-up Platforms with Dynamic Behaviour”, Proc. of ISOPE, Edinburgh, Scotland.Google Scholar
  20. Karunakaran, D., B.J. Leira, N. Spidsøe, and T. Moan (1991b): “Fatigue Life Estimation for Dynamically Sensitive Slender Offshore Structures Exposed to Non-Gaussian Wave Loading”, To appear in Int. Conf. on Fatigue and Fracture in Steel and Concrete Structures, Madras, India.Google Scholar
  21. Kirkemo, F. (1988): “Applications of Probabilistic Fracture Mechanics to Offshore Structures”, Proceedings of the Seventh Offshore Mechanics and Arctic Engineering Conference, Houston, Texas, and also in Applied Mechanics Review, Vol. 41, No. 2, February 1988.Google Scholar
  22. Leira, B.J. (1987): “Multi-dimensional Stochastic Linearization of Drag Forces”, Applied Ocean Research, July 1987.Google Scholar
  23. Leira, B.J., D. Karunakaran, G. Svanø and E. Skomedal (1992): “Linear and Nonlinear Dynamis of the Troll Gravity Platform”, submitted to the ISOPE Conference, San Francisco, USA, June 1992.Google Scholar
  24. Lloyd, J.R. and W.C. Clawson (1983): “Reserve and Residual Strength of Pile Founded Offshore Platforms”, Proc. of Symp. on the Role of Design, Inspection and Redundancy in Marine Structural Reliability, November 1983, National Research Council, pp. 157–196.Google Scholar
  25. Lotsberg, I. and F. Kirkemo (1989): “A Systematic Method for Planning In-Service Inspection of Steel Offshore Structures”, Proc. of OMAE’89, March 18–23, 1989, The Hague, The Netherlands.Google Scholar
  26. Madsen, H.O. (1987): “Model Updating in Reliability Theory”. Reliability and Risk Analysis in Civil Engineering 1. ICASP5, ed. by N.C. Lind, University of Waterloo, Ontario, Canada, 564–577.Google Scholar
  27. Madsen, H.O., and J.D. Sørensen (1990): “Probability-Based Optimization of Fatigue Design, Inspection and Maintenance”, Proc. of Conference on Integrity of Offshore Structures, Glasgow, June, 1990.Google Scholar
  28. Marthinsen, T. (1989): “Hydrodynamics in TLP Design”, Proc, 8th Intl. Offshore Mech. Arctic Eng. Symp., ASME, Vol. I, pp. 127–133.Google Scholar
  29. Marthinsen, T. (1991): “Second-Order Hydrodynamic Load and Response Statistics”, Proc, 1st Intl. Workshop on Very Large Floating Structures, Honolulu, pp. 209–220.Google Scholar
  30. Moan, T., J. Amdahl, A.G. Engseth, and T. Granli (1985): “Collapse Behaviour of Trusswork Steel Platforms”, Proceedings of BOSS’85, Elsevier Publishers, Amsterdam, The Netherlands.Google Scholar
  31. Molin, B. and X.B. Chen (1990): Calculation of Second-Order Sum-Frequency Loads on TLP Hulls. Institute Français du Petrole Report, Paris, France.Google Scholar
  32. Naess, A. (1985): “Statistical Analysis of Second-Order Response of Marine Structures”, Journal of Ship Research, Vol. 29, pp. 270–284.Google Scholar
  33. Naess, A. (1986): “The Statistical Distribution of Second-Order Slowly-Varying Forces and Motions”, Applied Ocean Research. Vol. 8, No. 2, pp. 110–118.CrossRefGoogle Scholar
  34. Neal, E. (1972): “Second-Order Hydrodynamic Forces Due to Stochastic Excitation”, Proc., 10th ONR Sump. Cambridge, MA, pp. 517 539.Google Scholar
  35. Prevost, J-H. (1978): “Anisotropic Undrained Stress-Strain Behaviour of Clays”, Journal of Geotechnical Engineering. ASCE. Vol 104, No 8, pp. 1075–1090.Google Scholar
  36. Proban (1989): The PROBabilistic ANalysis Program, Version 2. Theory Manual: VR Report 89–2022. Users Manual: VR Report. 89–2024, Example Manual: VR Report 89–2025, Distribution Manual: VR Report 89–2026, and Command Reference: VR Report 89–2027, A.S Veritas Research, Norway.Google Scholar
  37. Skjong, R., and R. Torhaug (1991): “Rational Methods for Fatigue Design and Inspection Planning of Offshore Structures”, To appear in Journal of Marine Structures.Google Scholar
  38. Stewart, G., M. Efthymiou and J.H. Vugts (1988): “Ultimate Strength and Integrity Assessment of Fixed Offshore Platforms”, Proceedings of the 5th International Conference on the Behaviour of Offshore Structures, Vol. 3, Trondheim, Norway, pp. 1205–1221.Google Scholar
  39. Svanø, G., D. Karunakaran, B.J. Leira and O. Skjåstad (1991): “TROLL PHASE I. Design Basis for Soil Dynamics—Nonlinear Dynamic Analysis”, SINTEF Report STF69 F91005, Trondheim, Norway.Google Scholar
  40. Torsethaugen, K. (1987): “Range of Validity of the JONSWAP-Spectrum” (in Norwegian), Report No. 85.115, Oceanographics Centre, Trondheim, Norway.Google Scholar
  41. Ueda, Y. and S.M.H. Rashed (1974): “An Ultimate Transverse Strength Analysis of Ship Structures”, Journal of the Society of Naval Arch. of Japan, Vol. 139.Google Scholar
  42. Vinje, T. (1984): “On the Statistical Distribution of Second-Order Forces and Motions”, Int. Shipbuilding Prog., Vol. 30, pp. 58–68.Google Scholar
  43. Wheeler, J.D. (1970): “Methods for Calculating Forces Produced on Piles in Irregular Waves”, Journal of Petroleum Technology, March 1970.Google Scholar
  44. Winterstein, S.R. (1988): “Nonlinear Vibration Models for Extremes and Fatigue”, Journal of Engineering Mechanics, ASCE, 114(10), 1772–1790.CrossRefGoogle Scholar
  45. Winterstein, S.R. and T. Marthinsen (1991a): “Nonlinear Effects on TLP Springing Response and Reliability”, Compulational Stochastic Mechanics (Proc, 1st Int. Conf., Corfu), Elsevier, pp. 765–776.Google Scholar
  46. Winterstein, S.R. and T. Marthinsen (1991b): Springing Response of a Tension Leg Platform: Reliability against Extremes and Fatigue, Report No. RMS-9, Reliability of Marine Struc. Prog., Civ. Eng. Dept., Stanford Univ.Google Scholar
  47. Wirsching, P. (1984): “Fatigue Reliability of Offshore Structures”, Journal of Structural Engineering, ASCE, Vol. 110, pp. 2340–2356.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Peter Bjerager
    • 1
  • Ivar Langen
    • 2
  • Steven R. Winterstein
    • 3
  • Tom Marthinsen
    • 4
  • Daniel Karunakaran
    • 5
  1. 1.Veritas Sesam Systems A.SHøvikNorway
  2. 2.StatoilStavangerNorway
  3. 3.Department of Civil EngineeringStanford UniversityStanfordUSA
  4. 4.Saga Petroleum a.s.SandvikaNorway
  5. 5.SINTEFTrondheimNorway

Personalised recommendations