In terms of Newton two-state model, by choosing two sets of generalized co-ordinates, this paper develops a uni"ed dynamic model between the separation and collision process for the elastic linkage mechanism. This model incorporates the e!ects of rigidity and elasticity coupling and the angular velo
β¦ LIBER β¦
NON-LINEAR DYNAMIC ANALYSIS OF THE TWO-DIMENSIONAL SIMPLIFIED MODEL OF AN ELASTIC CABLE
β Scribed by Y.Y. ZHAO; L.H. WANG; D.L. CHEN; L.Z. JIANG
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 255 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
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 "rst order non-linear di!erential 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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