A numerical method for solving large deflections of elasticas and offshore pipelines is described. The method is based on finite element analysis using intrinsic coordinates, namely the nodal rotations and the arc length. The element stiffness is independent of element orientation and the displacement vector is expressed in terms of nodal values of cross-sectional rotation. The generation of the vector of integrating coefficients for numerical integration adopts the quadrature method, which is subsequently assembled into a quadrature matrix. The element lengths are embodied in the vector of integrating coefficients and such lengths are not constrained to be uniform. This feature fits in very well with the intrinsic coordinate elements. The transformations that are required from intrinsic to Cartesian coordinates affect only the load vector in the equilibrium equation. Consequently some computational advantages can be expected from the intrinsic coordinates formulation, particularly for large deflection problems.
Intrinsic coordinate elements for large deflections of offshore pipelines
International Journal of Offshore and Polar Engineering ; 10 , 1 ; 57-63
2000
7 Seiten, 7 Quellen
Article (Journal)
English
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