MATHIEU STABILITY IN THE DYNAMICS OF TLP's TETHERS CONSIDERING VARIABLE TENSION ALONG THE LENGTH
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Simos, A.M. & Pesce, C.P.
— The trend in applying TLPs (Tension Leg Platforms) in deep waters and the necessity of reduction of the usually high values of pretension make the effect of variable tension in tethers dynamics more significant. This work presents a dynamic modeling of TLP's tethers considering the tension variation along the length due to the submerged weigh. The modal analysis considers a linear cable equation for tether modeling submitted to tension which varies linearly along its length. The standard Sturm-Liouville problem is solved by transforming it into a modified Bessel equation form. A Mathieu stability analysis is then performed so one can obtain the amplitudes of tethers vibrations and verify possibly