Non-linear dynamic analysis of the two-dimensional simplified model of an elastic cable

作者:Zhao, YY*; Wang, LH; Chen, DL; Jiang, LZ
来源:Journal of Sound and Vibration, 2002, 255(1): 43-59.
DOI:10.1006/jsvi.2001.4151

摘要

The non-linear behavior of an elastic cable subjected to a harmonic excitation is investigated in this paper. Using Garlerkin's method and method of multiple scales, the discrete dynamical equations and a set of first order non-linear differential equations are obtained. A numerical simulation is used to obtain the steady state response and stable solutions. Finally the coupled dynamic features between the out-planar pendulation and the in-planar vibration of an elastic cable are analyzed.