Nonlinear Dynamics of Cables with Low Initial Tension

Publisher Website
Google Scholar
Abstract
A method of solution for the three-dimensional nonlinear deployment problem associated with single, lightly-stressed cables is presented. Based on the theory of incremental deformations the governing nonlinear equations are reduced to a system of quasilinear equations dependent on the prior history of deployment. The solution to the resulting system of equations is obtained by means of a finite element representation valid during some time interval in which the incremental equations approximate the response of the nonlinear system to a stated order of accuracy. The solution is extended to later time intervals by referring additional incremental deformations to a coordinate system based on the new configuration of the cable at the end of the previous time interval. Numerical planar problems are considered for verification and demonstration purposes.

This publication has 0 references indexed in Scilit: