Abstract
In this study, the dynamic behaviour of a submarine cable constrained by a frictionless rigid sea profile is studied. After a suitable local and time discretization, the arising unilateral contact-impact problem is formulated as a sequence of variational inequality problems which lead equivalently to a sequence of quadratic programming problems. The solution method is based on some propositions which constitute the mechanical “interpretation” of some theorems of quadratic programming and combines the advantages of the optimization algorithms with the advantages of the “trial and error” methods. Finally the applicability of the proposed method is illustrated by means of a numerical example.
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