Lumped, Constrained Cable Modeling With Explicit State-Space Formulation Using An Elastic Version of Baumgarte Stabilization

Abstract This paper presents a modeling approach for efficient simulation of slender structures, such as wires, cables and ropes. Lumped structural elements are connected using constraints. These solved explicitly, an elastic version Baumgarte stabilization. avoids singularities in the matrix inversions. The resulting explicit state-space formulation filters higher order dynamics can be simple numerical integration methods. Constraints demonstrated different aspects: Internal cable forces, one sliding along another contact between seabed. Also, initialization routine is presented rapid building interconnected geometries, ranging from cases offshore crane operations to in-sea equipment seismic cables. Two case studies illustrate effectiveness robustness proposed approach; first being test two connected, sinking cables, last larger demonstrating use library survey case.