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Shear effects in shakedown analysis of offshore structures

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Abstract

In this paper, a formulation for shakedown analysis of elastic-plastic offshore structures under cyclic wave loading is presented. In this formulation, a fast numerical solution method is used, suitable for the Finite Element Method (FEM) analysis of large offshore structures on which shear effects in addition to bending and axial effects are taken into account. The Morison equation is adopted for converting the velocity and acceleration terms into resultant forces and it is extended to consider arbitrary orientations of the structural members. The theoretical methods of the shakedown analysis are discussed in detail and the formulation is applied to an offshore structure to verify the concept employed and its analytical capabilities.

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References

  • Borino, G., and C. Polizzotto. 1995. Dynamic shakedown of structures under repeated seismic loads. J. Eng. Mech., 1306–1314.

  • Capurso, M., 1974. A displacement bounding principle in shakedown of structures subjected to cyclic loads. Int. J. Solids & Struct., 10: 77–92.

    Article  Google Scholar 

  • Casciaro, R., and G. Garcea, 2002. An iterative method for shakedown analysis. Comput. Methods Appl. Mech. Eng., 191: 5761–5792. DOI: 10.1016/s0045-7825(20)00496-6.

    Article  Google Scholar 

  • Corradi, L., and A. Zavelani, 1974. A linear programming approach to shakedown analysis of structures. Comput. Methods Appl. Mech. Eng., 3: 37–53.

    Article  Google Scholar 

  • Dawson, T. H., 1983. Offshore Structural Engineering. 1st ed., Prentice Hall, Englewood Cliffs. N. J., USA, 205–315.

    Google Scholar 

  • Fadaee, M. J., H. Saffari, and R. Tabatabaei, 2007. Mathematical modeling for shakedown analysis of offshore structures. Amer. J. Appl. Sci., 4(7): 449–455.

    Article  Google Scholar 

  • Garcea, G., G. Armentano, S. Petrolo, and R. Casciaro, 2005. Finite element shakedown analysis of two-dimensional structures. Int. J. Numer. Methods Eng., 1174–1202.

  • Gro-Wedge, J., 1997. On the numerical assessment of the safety factor of elastic-plastic structures under variable loading. Int. J. Mech. Sci., 39(4): 417–433.

    Article  Google Scholar 

  • Koiter, W. T., 1956. A new general theorem on shakedown of elastic-plastic structures. Koninkl. Ned. Akad. Wet., B 59: 24–34.

    Google Scholar 

  • Konig, A., and G. Maier, 1981. Shakedown analysis of elasto plastic structures: a review of recent developments. Nucl. Engrg. Des., 66: 81–95.

    Article  Google Scholar 

  • Konig, A., 1987. Shakedown of elastic-plastic structures. Fundamental Studies in Engineering 7. Elsevier, Warszawa, 127–238.

    Google Scholar 

  • Melan, E., 1938. Zur Plastizitat des raumlichen continuum. Ing. Arch., 9: 116–126.

    Article  Google Scholar 

  • Noorzaei, J., S. Bahrom, and J. M. Saleh, 2005. Simulation of wave and current forces on template offshore platforms. Suranaree J. Sci. Technol., 12(3): 193–210.

    Google Scholar 

  • Pham, D. C., 2001. Shakedown kinematic theorem for elastic-perfectly plastic bodies. Int. J. Plast., 17: 773–780.

    Article  Google Scholar 

  • Ponter, A. R. S., and K. F. Karter, 1997. Shakedown state simulation techniques based on linear elastic solutions. Comput. Meth. Appl. Mech. Engrg., 140: 259–279.

    Article  Google Scholar 

  • Ponter, A. R. S., and M. Engelhradt, 2000. Shakedown limits for a general yield condition: implementation and application for a von Mises yield condition. Eur. J. Mech. Solids, 19: 423–445.

    Article  Google Scholar 

  • Polizzotto, C., 1994. On elastic plastic structures under cyclic loads, Eur. J. Mech. Solids, 149–173.

  • Polizzotto, C., G. Borino, S. Caddemi, and P. Fuschi, 1993. Theorems of restricted dynamic shakedown. Int. J. Mech. Sci., 35(9): 787–801.

    Article  Google Scholar 

  • Report by NSF CMS01, 2000. Cast modular nodes for seismic resistant steel frames. Sep.30. 2–16.

  • Research Report 094, 2003. Technical performance measures for North Sea jacket structures, EQE International Limited, 45–55.

  • Sarpkaya, T., and M. Isaacson, 1981. Mechanics of Wave Forces on Offshore Platforms. 1st ed., Van Nostrand Reinhold Company, New Yolk, 323–331.

    Google Scholar 

  • Stein, E., G. Zhang, and J. A. Konig, 1987. Shakedown with Nonlinear Strain Hardening Including Structural Computation Using Finite Element Methods, PWN-Polish Scientific, Warsaw and Elsevier, Amsterdam, 1–31.

    Google Scholar 

  • Yan, A. M. and D. H. Nguyen, 2001. Kinematical shakedown analysis with temperature-dependent yield stress. Int. J. Num. Methods Eng., 50: 1145–1168.

    Article  Google Scholar 

  • Zhang, Y. G., 1995. An iteration algorithm for kinematic shakedown analysis. Comput. Methods Appl. Mech. Eng., 127: 217–226.

    Article  Google Scholar 

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Fadaee, M.J., Saffari, H. & Tabatabaei, R. Shear effects in shakedown analysis of offshore structures. J. Ocean Univ. China 7, 177–183 (2008). https://doi.org/10.1007/s11802-008-0177-z

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  • DOI: https://doi.org/10.1007/s11802-008-0177-z

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