NON-LINEAR DYNAMIC ANALYSIS OF THE TWO-DIMENSIONAL SIMPLIFIED MODEL OF AN ELASTIC CABLE |
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| Authors: | YY ZHAOLH WANG DL CHENLZ JIANG |
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| Institution: | a The Department of Engineering Mechanics, Hunan University, Changsha, Hunan, 410082, People's Republic of Chinaf1yyzhao@mail.hunu.edu.cnf1b School of Civil and Architecture Engineering, Central South University, Changsha, Hunan, 410075, People's Republic of China |
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| Abstract: | 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. |
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