Reliability Analysis of Offshore Structures

Chapter
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)

Abstract

This chapter is devoted to the reliability analysis of offshore structures. It contains seven sections. The first section describes uncertainties in general and gives information about the reliability methods. The second section presents basic definitions and structural reliability methods in more detail. Calculation of the reliability index β by the FORM and SORM methods are explained for nonlinear failure functions of non-Normal correlated design variables in general. The calculation algorithms and flow diagrams are presented. Then, the numerical integration (NI) and Monte Carlo simulation (MCS) techniques of the Level-III (exact) reliability methods are summarized. The third section presents the inverse reliability method and its calculation algorithm. The fourth section describes uncertainties in the spectral stresses and fatigue damages of offshore structures, which arise from different origins. The fifth section formulates stress spectrum and spectral moments in a reduced uncertainty space. The sixth section explains the fatigue reliability calculation of offshore structures and provides calculation algorithms. The seventh section demonstrates the reliability calculations.

References

  1. 1.
    Melchers RE (1999) Structural reliability analysis and prediction, 2nd edn. Wiley, New YorkGoogle Scholar
  2. 2.
    Ditlevsen O, Madsen HO (1996) Structural reliability methods. Wiley, ChichesterGoogle Scholar
  3. 3.
    Chabrolin B (2001) Partial safety factors for resistance of steel elements to EC3& EC4, calibration for various steel products and failure Criteria. Final Report, CTICM, Saint-AubinGoogle Scholar
  4. 4.
    Burdekin FM (2007) General principles of the use of safety factors in design and assessment. Eng Fail Anal 14:420–433CrossRefGoogle Scholar
  5. 5.
    Sedlacek G, Kraus O (2007) Use of safety factors for the design of steel structures according to the Eurocodes. Eng Fail Anal 14:434–441CrossRefGoogle Scholar
  6. 6.
    Jonas Clausen J, Hansson SO, Nilsson F (2006) Generalizing the safety factor approach. Reliab Eng Syst Saf 91:964–973CrossRefGoogle Scholar
  7. 7.
    Darlaston J, Wintle J (2007) Safety factors in the design and use of pressure equipment. Eng Fail Anal 14:471–480CrossRefGoogle Scholar
  8. 8.
    Stacey A, Sharp JV (2007) Safety factor requirements for the offshore industry. Eng Fail Anal 14:442–458CrossRefGoogle Scholar
  9. 9.
    Shama MA (2009) Basic concept of the factor of safety in marine structures. Ships Offshore Struct 4(4):307–314CrossRefGoogle Scholar
  10. 10.
    Tarp-Johansen NJ (2005) Partial safety factors and characteristic values for combined extreme wind and wave load effects. Trans ASME 127:242–252CrossRefGoogle Scholar
  11. 11.
    Wilson R (2007) A comparison of the simplified probabilistic method in R6 with the partial safety factor approach. Eng Fail Anal 14:450–489CrossRefGoogle Scholar
  12. 12.
    Kala Z (2007) Influence of partial safety factors on design reliability of steel structures—probability and fuzzy assessment. J Civ Eng Manag 8(4):291–296MathSciNetGoogle Scholar
  13. 13.
    Wang SS, Hong HP (2004) Partial safety factors for designing and assessing flexible pavement performance. Can J Civ Eng 31:397–406CrossRefGoogle Scholar
  14. 14.
    Mohamed A, Soares R, Venturini WS (2001) Partial safety factors for homogeneous reliability of nonlinear reinforced concrete columns. Struct Saf 23:137–156CrossRefGoogle Scholar
  15. 15.
    Roos E, Wackenhut G, Lammert R, Schuler X (2011) Probabilistic safety assessment of components. Int J Press Vessels Pip 88:19–25CrossRefGoogle Scholar
  16. 16.
    Val DV, Stewart MG (2002) Safety factors for assessment of existing structures. J Struct Eng ASCE 128(2):258–265CrossRefGoogle Scholar
  17. 17.
    Mrazik A, Krizma M (1997) Probability-based design standards of structures. Struct Saf 19(2):219–234CrossRefGoogle Scholar
  18. 18.
    Muhammed A (2007) Background to the derivation of partial safety factors for BS 7910 and API 579. Eng Fail Anal 14:481–488CrossRefGoogle Scholar
  19. 19.
    Goh ATC, Phoon KK, Kulhawy FH (2009) Reliability analysis of partial safety factor design method for cantilever retaining walls in granular soils. J Geotech Geoenviron Eng 135(5) ASCE, 616–622Google Scholar
  20. 20.
    Nikolaidis E, Ghiocel DM, Singhal S (2005) Engineering design reliability handbook. CRC Press LLC, Boca RatonMATHGoogle Scholar
  21. 21.
    ISO 2394 (1998) General principles on reliability for structures. ISO, GenevaGoogle Scholar
  22. 22.
    EN, 1990 Eurocode (2002) Basis of structural design. CEN, BrusselsGoogle Scholar
  23. 23.
    JCSS (2001) Probabilistic model code. Joint Committee on Structure SafetyGoogle Scholar
  24. 24.
    Sadovsky Z, Pales D (2008) Probabilistic optimization of partial safety factors for the design of industrial buildinghs. Int J Reliab Qual Saf Eng 15(5):411–424CrossRefGoogle Scholar
  25. 25.
    Faber MH, Sorensen JD (2002) Reliability based code calibration. JCSS Workshop on Reliability Based Code Calibration, Zurich Google Scholar
  26. 26.
    Hansen PF, Sorensen JD (2002) Reliability-based code calibration of partial safety factors. JCSS Workshop on Reliability Based Code Calibration, Zurich Google Scholar
  27. 27.
    Swiler LP, Paez TM, Mayes RL (2009) Epistemic uncertainty quantification tutorial. In: Proceeding of the IMAC-XXVII, OrlandoGoogle Scholar
  28. 28.
    Swiler LP, Giunta A (2007 Aleatory and epistemic uncertainty quantification for engineering applications. Technical Report, SAND2007-2670C, Sandia National Laboratories, AlbuquerqueGoogle Scholar
  29. 29.
    Madsen HO, Krenk S, Lind NC (1986) Methods of structural safety. Prentice-Hall, Englewood CliffsGoogle Scholar
  30. 30.
    Thoft-Christensen P, Murotsu Y (1986) Application of structural system reliability theory. Springer, BerlinCrossRefGoogle Scholar
  31. 31.
    AH-S, Tang WH (1984) Probability concepts in engineering planning and design. Volume II—decision, risk and reliability. Wiley, New YorkGoogle Scholar
  32. 32.
    Thoft-Christensen P, Baker MJ (1982) Structural reliability theory and its applications. Springer, BerlinMATHCrossRefGoogle Scholar
  33. 33.
    Ditlevsen O (1981) Uncertainty modeling with application to multidimensional civil engineering system. McGraw-Hill, New YorkGoogle Scholar
  34. 34.
    Thoft-Christensen P (1987) Recent advances in the application of structural system reliability methods. In: Proceeding 5th International Conference on Applications of Statistics and Probability in Soil and Structural Engineering, ICASP5, University of British Columbia, VancouverGoogle Scholar
  35. 35.
    Karamchandani A (1987) Structural system reliability analysis methods. Report No.83, The John A. Blume Earthquake Engineering Center, StanfordGoogle Scholar
  36. 36.
    Shinozuka M (1983) Basic analysis of structural safety. J Struct Eng, ASCE, 109(3):721–740Google Scholar
  37. 37.
    Karadeniz H, Vrouwenvelder T (2006) Overview reliability methods. report: SAF-R5-1-TUD-01(10). Task 5.1.SAFERELNETGoogle Scholar
  38. 38.
    Vrouwenvelder T, Karadeniz H (2011) Overview of structural reliability methods. safety and reliability of industrial products, systems and structures, Edited by Soares CG, CRC Press, Boca RatonGoogle Scholar
  39. 39.
    Sun HH, Bai Y (2003) Time-variant reliability assessment of FPSO hull girders. Mar struct 16:219–253CrossRefGoogle Scholar
  40. 40.
    Cornell CA (1969) A probability based structural code. J Am Concr Inst 66(12):974–985Google Scholar
  41. 41.
    Hasofer AM, Lind LC (1974) An exact and invariant first-order reliability format. J Eng Mech ASCE 100:111–121Google Scholar
  42. 42.
    Rackwitz R, Fiessler B (1978) Structural reliability under combined random load sequences. Comput Struct 9:489–494MATHCrossRefGoogle Scholar
  43. 43.
    Rosenblatt M (1952) Remarks on a multivariate transformation. Ann Math Stat 23:470–472MathSciNetMATHCrossRefGoogle Scholar
  44. 44.
    Nataf A (1962) Determination des distribution dont les marges sont données. C.R. Acad Sci 225:42–43MathSciNetGoogle Scholar
  45. 45.
    Der Kiureghian A, Liu PL (1986) Structural reliability under incomplete probability information. J. Eng. Mech., ASCE, 112(1):85–104Google Scholar
  46. 46.
    Liu PL, Der Kiureghian A (1986) Multivariate distribution models with prescribed marginals and covariances. Probab Eng Mech 1(2):105–112CrossRefGoogle Scholar
  47. 47.
    Fiessler B, Neumann H-J, Rackwitz R (1979) Quadratic limit states in structural reliability. J Eng Mech, ASCE, 105(4):661–676Google Scholar
  48. 48.
    Breitung, K (1984) Asymptotic approximations for multi-normal integrals. J. Eng. Mech., ASCE, 110(3):357-366Google Scholar
  49. 49.
    Der Kiureghian A, Lin, H-Z, Hwang S-J (1987) Second-order reliability approximations. J Eng Mech, ASCE, 113(8):1208–1225Google Scholar
  50. 50.
    Tvedt, L (1990) Distribution of quadratic forms in normal space—Approximation to structural reliability. J Eng Mech, ASCE, 116(6):1183–1197Google Scholar
  51. 51.
    Rackwitz R (2001) Reliability analysis-a review and some perspectives. Struct Saf 23:365–395CrossRefGoogle Scholar
  52. 52.
    Koyluoglu HU, Nielsen SRK (1994) New approximations for SORM integrals. Struct Saf 13:235–246CrossRefGoogle Scholar
  53. 53.
    Cai GQ, Elishakoff I (1994) Refined second-order reliability analysis. Struct Saf 14:267–276CrossRefGoogle Scholar
  54. 54.
    Zhao Y-G, Ono T (1999) A general procedure for first/second-order reliability method (FORM/SORM). Struct Saf 21:95–112CrossRefGoogle Scholar
  55. 55.
    Zhao Y-G, Ono T (1999) New approximation for SORM: Part 1. J Eng Mech, ASCE, 125(1):79–85Google Scholar
  56. 56.
    Adhikari S (2005) Asymptotic distribution method for structural reliability analysis in high dimensions. Proc. R. Soc. A 461, 3141–3158Google Scholar
  57. 57.
    Golub GH, Van Loan CF (1996) Matrix computations. 3rd (edn) Johns Hopkins, MarylandGoogle Scholar
  58. 58.
    Ouypornprasert W (1988) Adaptive numerical integration for reliability analysis. Inst Eng Mech, Univ Innsbruck, Int. Rep. No. 12-87, InnsbruckGoogle Scholar
  59. 59.
    Waarts P (2000) Structural reliability using finite element analysis, Ph.D. thesis, Delft University Press, DelftGoogle Scholar
  60. 60.
    Hines WW, Montgomery DC (1980) Probability and statistics in engineering and management science. Wiley, New YorkGoogle Scholar
  61. 61.
    Ayyub BM, Haldar A. (1985) Improved simulation techniques as structural reliability models. 4th International Conference on Structure Saf. and Rel.,ICOSSAR’85, Vol. 1, 17–26Google Scholar
  62. 62.
    Karamchandani A (1987) Structural system reliability analysis methods. Report No.83, John A. Blume Earthquake Eng. Center, Stanford University, StanfordGoogle Scholar
  63. 63.
    Bucher CG (1988) Adaptive sampling: an iterative fast monte carlo procedure. Struct Saf 5(2):119–126CrossRefGoogle Scholar
  64. 64.
    Bjerager P (1988) Probability integration by directional simulation. J Eng Mech, ASCE, 114 (8):1285–1302Google Scholar
  65. 65.
    Bjerager P (1989) Probability computation methods in structural and mechanical reliability. Computational Mechanics of Probabilistic and Reliability Analysis, eds. by Liu WK, Belytschko T, Elme Press Int., LausanneGoogle Scholar
  66. 66.
    Hohenbichler M, Rackwitz R (1988) Improvement of second-order reliability estimates by importance sampling. J Eng Mech, ASCE, 114(12): 2195–2199Google Scholar
  67. 67.
    Der Kiureghian A, Zhang Y, Li CC (1994) Inverse reliability problem. J Eng Mech, ASCE, 120(5):1154–1159Google Scholar
  68. 68.
    Li H, Foschi RO (1998) An inverse reliability measure and its application. Struct Saf 20:257–270CrossRefGoogle Scholar
  69. 69.
    Sadovsky Z (2000) Discussion on: An inverse reliability method and its application. Struct Saf 22:97–102CrossRefGoogle Scholar
  70. 70.
    Li H, Foschi RO (200) Response: an inverse reliability method and its application. Struct Saf, 22:103–106Google Scholar
  71. 71.
    Nakamura Y, Nakamura T (2000) Inverse reliability-based design of shear buildings supported by springs with stochastic stiffnesses. Probab Eng Mech 15:295–303CrossRefGoogle Scholar
  72. 72.
    Ramu P, Qu X, Youn BD, Haftka RT, Choi KK (2004) Safety factor and inverse reliability measures. 45th AIAA/ASME/ASCE/AHS/ASC Struct., Struct Dyn & Mater Conf, 1–11Google Scholar
  73. 73.
    Du X, Sudjianto A, Chen W (2004) An integrated framework for optimization under uncertainty using inverse reliability strategy. Trans ASME 126:562–570CrossRefGoogle Scholar
  74. 74.
    Minguez R, Castillo E, Hadi AS (2005) Solving the inverse reliability problem using decomposition techniques. Struct Saf 27:1–23CrossRefGoogle Scholar
  75. 75.
    Saha S, Manohar CS (2005) Inverse reliability based structural design for system dependent critical earthquake loads. Probab Eng Mech 20:19–31CrossRefGoogle Scholar
  76. 76.
    Cheng J, Zhang J, Cai CS, Xiao R-C (2007) A new approach for solving inverse reliability problems with implicit response functions. Eng Struct 29:71–79CrossRefGoogle Scholar
  77. 77.
    Bitner-Gregersen EM, Hagen O (1990) Uncertainties in data fort he offshore environment. Struct Saf 7:11–34CrossRefGoogle Scholar
  78. 78.
    Olufsen A, Bea RG (1990) Loading uncertainties in extreme waves. Mar struct 3:237–260CrossRefGoogle Scholar
  79. 79.
    Olufsen A, Leira BJ, Moan T (1992) uncertainty and reliability analysis of jacket platform. J Struct Eng 118(10):2699–2715CrossRefGoogle Scholar
  80. 80.
    Golafshani AA, Ebrahimian H, Bagheri V, Holmas T (2011) Assessment of offshore platforms under extreme waves by probabilistic incremental wave analysis. J Constr Steel Res 67:759–769CrossRefGoogle Scholar
  81. 81.
    Nikolaidis E, Kaplan P (1991) Uncertainties in stress analyses on marine structures. Report No. SSC-363, Ship Structure Committee, WashingtonGoogle Scholar
  82. 82.
    Karadeniz H (2001) Uncertainty modeling in the fatigue reliability calculation of offshore structures. Reliab Eng Syst Saf 74:323–335CrossRefGoogle Scholar
  83. 83.
    Kareem A, Gurley K (1996) Damping in structures: its evaluation and treatment of uncertainty. J Wind Eng Ind Aerodyn 59:131–157CrossRefGoogle Scholar
  84. 84.
    Pittaluga A, Cazzulo R, Romeo P (1991) Uncertainties in the fatigue design of offshore steel structures. Mar struct 4:317–332CrossRefGoogle Scholar
  85. 85.
    Pillaia TMM, Prasad AM (2000) Fatigue reliability analysis in time domain for inspection strategy of fixed offshore structures. Ocean Eng 27:167–186CrossRefGoogle Scholar
  86. 86.
    Skjong R, Gregersen EB, Cramer E, Croker A, Hagen O, Korneliussen G, Lacasse S, Lotsberg I, Nadim F, Ronold KO (1995) Guideline for offshore structural reliability analysis-general. DNV Report No.95-2018Google Scholar
  87. 87.
    Sigurdsson G, Cramer E, Lotsberg I, Berge B (1996) Guideline for offshore structural reliability: application to jacket platforms. DNV Report No. 95-3203, HovikGoogle Scholar
  88. 88.
    Sigurdsson G, Cramer E (1996) Guideline for offshore structural reliability-examples for jacket platforms. DNV Report No. 95-3204, HovikGoogle Scholar
  89. 89.
    Barltrop NDP, Adams AJ (1991) Dynamics of fixed marine structures, 3rd edn. Butterworth-Heinemann, OxfordGoogle Scholar
  90. 90.
    Karadeniz H (2001) A method for including ovalization effects of tubular member on cross-section properties. Proceeding 11th International Offshore and Polar Engineering Conference, ISOPE, 4:426–432Google Scholar
  91. 91.
    Karadeniz H (1994) An algorithm for member releases and partly connected members in offshore structural analysis. Proc. 13th.international Conference Offshore Mechanical and Arctic Engineering OMAE, 1, 471–476, HoustonGoogle Scholar
  92. 92.
    Karadeniz H (1992) Stochastic analysis of offshore structures under wave-current and fluid-structure interactions. In:Proceeding 11th Internaztional Conference Offshore Mechanical and Arctic Engineering OMAE, 1-A, 241–248, CalgaryGoogle Scholar
  93. 93.
    Karadeniz H, Vrouwenvelder A, Bouma AL (1983) Stochastic fatigue reliability analysis of jacked type offshore structures. In: Proceeding NATO Advanced Study Institute on Reliability Theory and Its Application in Structural and Soil Mechanics, Edited by Thoft-Christensen P, Martinus Nijhoff, The HagueGoogle Scholar
  94. 94.
    Schutz W (1981) Procedures for the prediction of fatigue life of tubular joints. In: Proceeding International Conference on Steel in Marine Structures, 254–308, ParisGoogle Scholar
  95. 95.
    Karadeniz H (2009) SAPOS, spectral analysis program of structures. Report, Structure Mechanical Div., Faculty of Civ. Eng. and Geosci., TUDelft, Delft, the NetherlandsGoogle Scholar

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Halil Karadeniz
    • 1
  • Mehmet Polat Saka
    • 2
  • Vedat Togan
    • 3
  1. 1.Faculty of Civil Engineering and GeosciencesDelft University of TechnologyDelftThe Netherlands
  2. 2.Department of Engineering SciencesMiddle East Technical UniversityAnkaraTurkey
  3. 3.Department of Civil EngineeringKaradeniz Technical UniversityTrabzonTurkey

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