dorsal/arxiv
View SchemaWrithing Dynamics of Cables with Self-contact
| Authors | Sachin Goyal, Noel C. Perkins, Christopher L. Lee |
|---|---|
| Categories | |
| ArXiv ID | physics/0702198 |
| URL | https://arxiv.org/abs/physics/0702198 |
| Journal | Proceedings of Fifth International Symposium on Cable Dynamics, Santa Margherita Ligure, Italy, Sept 15-18, 2003, pp. 27-36. |
Abstract
Marine cables under low tension and torsion on the sea floor can form highly contorted three-dimensional geometries that include loops (e.g. hockles) and tangles. These geometries arise from the conversion of torsional strain energy to bending strain energy or, kinematically, a conversion of twist to writhe. A dynamic form of Kirchhoff rod theory is reviewed herein that captures these nonlinear dynamic processes. The resulting theory is discretized using the generalized-alpha method for finite differencing in both space and time. Numerical solutions are presented for an example system of a cable subjected to increasing twist at one end. The solutions show the dynamic evolution of the cable from an initially straight element, through a buckled element in the approximate form of a helix, through the dynamic collapse of this helix into a loop, and subsequent intertwining of the loop with multiple sites of self-contact.
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"abstract": "Marine cables under low tension and torsion on the sea floor can form highly\ncontorted three-dimensional geometries that include loops (e.g. hockles) and\ntangles. These geometries arise from the conversion of torsional strain energy\nto bending strain energy or, kinematically, a conversion of twist to writhe. A\ndynamic form of Kirchhoff rod theory is reviewed herein that captures these\nnonlinear dynamic processes. The resulting theory is discretized using the\ngeneralized-alpha method for finite differencing in both space and time.\nNumerical solutions are presented for an example system of a cable subjected to\nincreasing twist at one end. The solutions show the dynamic evolution of the\ncable from an initially straight element, through a buckled element in the\napproximate form of a helix, through the dynamic collapse of this helix into a\nloop, and subsequent intertwining of the loop with multiple sites of\nself-contact.",
"arxiv_id": "physics/0702198",
"authors": [
"Sachin Goyal",
"Noel C. Perkins",
"Christopher L. Lee"
],
"categories": [
"physics.comp-ph",
"physics.ao-ph"
],
"journal_ref": "Proceedings of Fifth International Symposium on Cable Dynamics,\n Santa Margherita Ligure, Italy, Sept 15-18, 2003, pp. 27-36.",
"title": "Writhing Dynamics of Cables with Self-contact",
"url": "https://arxiv.org/abs/physics/0702198"
},
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