A Stability Analysis of Risers Subjected to Dynamic Compression Coupled With Twisting

[+] Author and Article Information
Roberto Ramos, Celso Pupo Pesce

Department of Mechanical Engineering, Escola Politécnica, University of São Paulo, Av. Prof. Mello Moraes, 2231, Cidade Universitária, São Paulo, SP, 05508-900, Brazil

J. Offshore Mech. Arct. Eng 125(3), 183-189 (Jul 11, 2003) (7 pages) doi:10.1115/1.1576819 History: Received September 01, 2001; Revised October 01, 2002; Online July 11, 2003
Copyright © 2003 by ASME
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Aranha,  J. A. P., Pinto,  M. O., and Silva,  R. M. C., 2001, “On the Dynamic Compression of Risers: an Analytic Expression for the Critical Load,” Appl. Ocean Res., 23, pp. 83–91.
Atanackovic, T. M., 1997, Stability Theory of Elastic Rods, World Scientific Publishing Co., Singapore.
Stump,  D. M., Fraser,  W. B., and Gates,  K. E., 1998, “The Writhing of Circular Cross-Section Rods: Undersea Cables to DNA Supercoils,” Proc. R. Soc. London, Ser. A, A454, pp. 2123–2156.
Love, A. E. H., 1959, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge University Press.
Rosenthal, F., 1976, “The Application of Greenhill’s Formula to Cable Hockling,” ASME J. Appl. Mech., pp. 681–683.
Coyne,  J., 1990, “Analysis of the Formation and Elimination of Loops in Twisted Cable,” IEEE J. Ocean. Eng., 15(2), pp. 72–83.
Lu,  C. L., and Perkins,  N. C., 1994, “Nonlinear Spatial Equilibria and Stability of Cables under Uni-axial Torque and Thrust,” ASME J. Appl. Mech., 61, pp. 879–886.
Ramos Jr., R., 2001, “Analytical Models for the Structural Behavior Study of Flexible Pipes and Umbilical Cables” (in Portuguese), Ph.D. thesis, University of São Paulo, São Paulo.
Gottlieb,  O., and Perkins,  N. C., 1999, “Local and Global Bifurcation Analyses of a Spatial Cable Elastica,” ASME J. Appl. Mech., 66, pp. 352–360.
Féret,  J. J., and Bournazel,  C. L., 1987, “Calculation of Stresses and Slip in Structural Layers of Unbonded Flexible Pipes,” ASME J. Offshore Mech. Arct. Eng., 109, pp. 263–269.
Witz,  J. A., 1996, “A Case Study in the Cross-Section Analysis of Flexible Risers,” Mar. Struct., 9, pp. 885–904.
Pesce, C. P., 1997, “Mechanics of Submerged Cables and Pipes in Catenary Configuration: an Analytical and Experimental Approach” (in Portuguese), “Livre Doce⁁ncia” Thesis, University of São Paulo, São Paulo.
Pesce,  C. P., Aranha,  J. A. P., Martins,  C. A., Ricardo,  O. G. S., and Silva,  S., 1998, “Dynamic Curvature in Catenary Risers at the Touch Down Point: an Experimental Study and the Analytical Boundary Layer Solution,” Int. J. Offshore Polar Eng., 8(4), pp. 302–310.


Grahic Jump Location
Curves p×log(χ.l) for three different periods (κ̃t=0)
Grahic Jump Location
Curves p×log(χ.l) for different values of κ̃tl
Grahic Jump Location
“Buckling Mode” for κ̃tl=0.0 (no twisting) and χ.l=0.6055 (taking a SCR as given in Table 1, and choosing Period=8s, such that l=60.55 m, we obtain p=2.9836 and Pcr=221.5 kN)
Grahic Jump Location
“Buckling Mode” for κ̃tl=0.0605 and χ.l=0.6055 (taking a SCR as given in Table 1, and choosing Period=8s, such that l=60.55 m, we obtain p=1.99995 and Pcr=99.5 kN)




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