Page 181 - Pipelines and Risers
P. 181

154                                                              Chapter IO


           6.  The fatigue is calculated at 51 points along the pipe span. The computer program predicts
              fatigue damages reasonably close to those predicted by Fyrileiv (1998).


           A  general free span may be  described in  terms of  the natural frequencies, modes shapes,
           damping and modal mass.  Beams  with  spring boundary conditions are considered in  this
           chapter. However, the developed formulation may be easily used to post-process the modal
           analysis results from in-place finite element models of  a pipeline which  models the seabed
           and in-service conditions accurately. The FATIGUE program may then be used to validate the
           more detailed models, which  have been  developed as part  of  the DTA  (Design  Through
           Analysis) by JP Kenny A/S (Bai and Damsleth, (1998)).


           10.6  References
           1.  Bai,  Y.  and  Damsleth, P.A.,  (1998)  ”Design  Through  Analysis  Applying  Limit-state
              Concepts and Reliability Methods”, Plenary paper for ISOPE’98.
           2.  Bai,  Y.,  Lauridsen, B.,  Xu,  T.  and  Damsleth  P.A.,  (1998)  “Force Model  and  In-line
              Fatigue of Free-Spanning Pipelines in Waves”, Proc. of  OMAE’98.
           3.  Blevins, R.D.,  (1994) “Flow-Znduced Vibration”, Krieger Publishing Company.
           4.  Det Norske Veritas (1998). Guidelines No.  14, “Free Spanning Pipelines”.
           5.  Fyrileiv, 0. et al., (1998) “Fatigue Calculations Using Frequency Domain Approach”, Fax
              dated 30” Jan. 1998.
           6.  M@rk, K.J.,  Vitali,  L.  and  Verley,  R.,  (1997)  ‘THE  MULTISPAN  Project:  Design
              Guideline for Free Spanning Pipelines”, Proceedings of OMAE’97.
           7.  Sumer,  M.  B.  and  Freds@e  Jergen.  (1997).  “Hydrodynamics  Around  Cylindrical
              Structures”, Advanced  Series  on  Ocean  Engineering - Vol  12,  Published  by  World
              Scientific, Singapore.
           8.  Tura,  F.,  Bryndum,  M.B.  and  Nielsen, N.J.R.,  (1994).  “Guideline for  free  Spanning
              Piplines: Outstanding Items and Technological Innovations”, Proceedings of  Conference
              on Advances in Subsea Pipeline Engineering and Technology, Aberdeen.
           9.  Verley, R.,  (1992)  ”Gudesp - Hydrodynamic Force Model, in-line”, Memo  dated  19”
              June 1992.
           10. Xu, T., Lauridsen, B. and Bai, Y. (1999) “Wave-induced Fatigue of Multi-span Pipelines”
              Journal of Marine Structures, Vol. 12, pp. 83-106.
   176   177   178   179   180   181   182   183   184   185   186