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Edit this text for your title Planer for MEK 4450 Marine operasjoner Edit this text for your sub-title Presenter name, location, date etc. Kværner ASA, June 2011

Mathematical models Motivation Catenary theory Morisson formula Linear harmonic oscillator

Why hand calculations? To provide input to more complex numerical analyses. To provide quick estimates in an early project phase. To clarify if a complex numerical models gives reasonable results To gain increased physical in the involved phenomenon's

Structural analysis Beams. Welds. Bolts and nuts More complex: FEM

Catenary shape

Typical ”offshore catenaries”

Catenary formulas. Gitt R

Using blackboard Chain lay- an example Towing object with constant speed Towing object, acceleration dominated Morissons law Dynamic model

Torpedo Anchor Installation

Deep Penetrating Anchor Situation before dropping Typical anchor behaviour : anchor chain do not interfere with anchor stability or velocity