Nonlinear vibrations and stability of an axially moving beam with an intermediate spring support: two-dimensional analysis |
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Authors: | Mergen H Ghayesh Marco Amabili Michael P Pa?doussis |
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Institution: | 1. Department of Mechanical Engineering, McGill University, Montreal, Quebec, H3A 0C3, Canada
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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. |
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