A static analysis procedure is formulated and implemented for the numerical determination of nonlinear static equilibrium configurations of deep ocean risers or mining pipes. This implementation involves selection of a finite element model, modeling of structure, surface and subsurface environment and external forces, and solution of nonlinear equilibrium equations. The riser is modeled by three-dimensional beam finite elements which include axial, bending, and torsional deformations. These deformations are coupled through geometrically nonlinear effects. The resulting tangent-stiffness matrix includes three contributions identified as linear, geometric (initial-stress) and initial-displacment stiffness matrices. For the solution, a combination of load-parameter incrementation, state updating of fluid properties, and corrective Newton-Raphson iteration is used. The resulting riser configuration reflects the realistic modeling of environments and external forces. The static equilibrium solution can be used as initial condition for vibration or transient analysis. Numerical studies are presented in Part II of this paper.
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March 1981
Research Papers
Nonlinear Static Analysis of Deep Ocean Mining Pipe—Part I: Modeling and Formulation
C. A. Felippa,
C. A. Felippa
Ocean Resources Engineering Program, Colorado School of Mines, Golden, Colo. 80401
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J. S. Chung
J. S. Chung
Ocean Resources Engineering Program, Colorado School of Mines, Golden, Colo. 80401
Search for other works by this author on:
C. A. Felippa
Ocean Resources Engineering Program, Colorado School of Mines, Golden, Colo. 80401
J. S. Chung
Ocean Resources Engineering Program, Colorado School of Mines, Golden, Colo. 80401
J. Energy Resour. Technol. Mar 1981, 103(1): 11-15 (5 pages)
Published Online: March 1, 1981
Article history
Received:
November 13, 1979
Revised:
December 1, 1980
Online:
October 22, 2009
Citation
Felippa, C. A., and Chung, J. S. (March 1, 1981). "Nonlinear Static Analysis of Deep Ocean Mining Pipe—Part I: Modeling and Formulation." ASME. J. Energy Resour. Technol. March 1981; 103(1): 11–15. https://doi.org/10.1115/1.3230807
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