... constraint euler parameter tether cable transformation matrix cable real time system vector corresponding constraint equation vector matrix subsea system force vector natural coordinate expression formulation equation rotational parameter Proceedings of the Thirty-first (2021...

... ABSTRACT The purpose of this paper is to provide a general solution of spatial warping curved beams under multiple loads based on the existed theory. The transverse shear deformation and torsion-related warping effects are taken into account. In natural coordinates, equilibrium, geometrical...

.... Their transformations from natural coordinates to global coordinates are biased toward the singular points. To verify the performance of the elements, two examples were demonstrated. The first example is a two-edged long plate with a perpendicular crack on one edge, under uniaxial uniform tension at the far ends...