Ghayesh, M.Amabili, M.Païdoussis, M.2018-05-102018-05-102012Nonlinear Dynamics, 2012; 70(1):335-3540924-090X1573-269Xhttp://hdl.handle.net/2440/111971The 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.en© Springer Science+Business Media B.V. 2012Axially moving beams; non-linear dynamics; two-dimensional analysis; stabilityJournal article003006612010.1007/s11071-012-0458-30003099400000282-s2.0-84867897151293132