Pre-elimination approach to the modelling of segmented representations of cable shape with application to the positioning of a towed sensor
type: Item
instance of: scholarly article
title: Pre-elimination approach to the modelling of segmented representations of cable shape with application to the positioning of a towed sensor
zbMATH Open document ID: 0589.65006
DOI: 10.1016/0307-904X(85)90002-2
author: B. George
published in: Applied Mathematical Modelling
publication date: 1985-01-01T00:00:00Z
review text: The authors consider a three dimensional cable. They indicate that it can be approximated by segments in two ways, namely by point masses at the joins of massless segments, and by segments consisting of massive rigid rods, freely jointed. A discussion is given of conditions under which the two models are equivalent, that is the discrete cable shapes are the same, the force vectors at corresponding end points are the same and the tensions in both sets of cable elements are the same. A graph is given for results obtained for a towed underwater sensor.
Mathematics Subject Classification ID: 65C20
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 70E99
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 3947496
zbMATH Keywords: underwater sensor
zbMATH Keywords: oceanographic recordings
zbMATH Keywords: lumped mass model
zbMATH Keywords: rod
zbMATH Keywords: model
zbMATH Keywords: cable shape
zbMATH Keywords: segmented cables
MaRDI profile type: Publication
cites work: Numerical determination of the configurations of heavy rotating chains
cites work: The comparison of modelling approaches and numerical solution procedures for segmented representations of cable shape
cites work: The numerical solution of the pre-elimination models of cable configurations
cites work: A representation of fluid forces in finite segment cable models
description: scientific article; zbMATH DE number 3947496