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|Title:||Nonlinear vibrations and stability of an axially moving beam with an intermediate spring support: two-dimensional analysis|
|Citation:||Nonlinear Dynamics, 2012; 70(1):335-354|
|Mergen H. Ghayesh, Marco Amabili, Michael P. Païdoussis|
|Abstract:||The nonlinear coupled longitudinal-transverse vibrations and stability of an axially moving beam, subjected to a distributed harmonic external force, which is supported by an intermediate spring, are investigated. A case of three-to-one internal resonance as well as that of non-resonance is considered. The equations of motion are obtained via Hamilton’s principle and discretized into a set of coupled nonlinear ordinary differential equations using Galerkin’s method. The resulting equations are solved via two different techniques: the pseudo-arclength continuation method and direct time integration. The frequency-response curves of the system and the bifurcation diagrams of Poincaré maps are analyzed.|
|Keywords:||Axially moving beams; non-linear dynamics; two-dimensional analysis; stability|
|Rights:||© Springer Science+Business Media B.V. 2012|
|Appears in Collections:||Mechanical Engineering publications|
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