The invention relates to a non-linear
static analysis method for deep-sea slow-wave umbilical cables, which includes the following steps: (Step 1) theoretical assumption; (Step 2) creation of a mechanical analysis model: Because of the thin and long characteristic of an
umbilical cable, the configuration of the
umbilical cable is described with the position of the central axis of an
umbilical cable pipeline according to a
classical theory, divided into a spanning section and a touchdown section; (Step 3) setting of boundary conditions: The umbilical cable is connected to surface floating devices through bend limiters, the connection is simplified as articulated connection, and thereby the boundary condition of a
layout point (LOP) is determined; and taking the
diameter influence of the umbilical cable into account, the boundary condition of a touchdown point (TDP) is determined; (Step 4) numerical
solvent: Once top tension T0 is determined, the configuration of each differentiation element is worked out sequentially from the top by the recurrence method, and thereby the overall slow-wave configuration of the umbilical cable is obtained. The non-linear
static analysis method can effectively implement analysis on deep-sea slow-wave umbilical cables. In the process of
solvent, the top tension T0, spanning section length and touchdown
point location of the umbilical cable are unknown, only the top
layout angle Theta 0 is a known parameter, and numerical
solvent needs to be carried out by iterative operation; once the top tension T0 is determined, the configuration of each differentiation element is worked out sequentially from the top by the recurrence method, and thereby the overall slow-wave configuration of the umbilical cable is obtained.