caa a22 4500 445811390 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00419-010-0446-3 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0446-3 Nonlinear dynamic response of axially moving, stretched viscoelastic strings [Elektronische Daten] [Mergen Ghayesh, Niloofar Moradian] The dynamical response of axially moving, partially supported, stretched viscoelastic belts is investigated analytically in this paper. The Kelvin-Voigt viscoelastic material model is considered and material, not partial, time derivative is employed in the viscoelastic constitutive relation. The string is considered as a three part system: one part resting on a nonlinear foundation and two that are free to vibrate. The tension in the belt span is assumed to vary periodically over a mean value (as it occurs in real mechanisms), and the corresponding equation of motion is derived by applying Newton's second law of motion for an infinitesimal element of the string. The method of multiple scales is applied to the governing equation of motion, and nonlinear natural frequencies and complex eigenfunctions of the system are obtained analytically. Regarding the resonance case, the limit-cycle of response is formulated analytically. Finally, the effects of system parameters such as axial speed, excitation characteristics, viscousity and foundation modulus on the dynamical response, natural frequencies and bifurcation points of system are presented. Springer-Verlag, 2010 Nonlinear systems nationallicence Dynamics nationallicence Method of multiple scales nationallicence Viscoelastic material nationallicence Ghayesh Mergen Department of Mechanical Engineering, McGill University, 817 Sherbrooke St. West, H3A 2K6, Montreal, Quebec, Canada aut Moradian Niloofar Department of Mechanical Engineering, McGill University, 817 Sherbrooke St. West, H3A 2K6, Montreal, Quebec, Canada aut Archive of Applied Mechanics Springer-Verlag 81/6(2011-06-01), 781-799 0939-1533 81:6<781 2011 81 419 https://doi.org/10.1007/s00419-010-0446-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0446-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ghayesh Mergen Department of Mechanical Engineering, McGill University, 817 Sherbrooke St. West, H3A 2K6, Montreal, Quebec, Canada aut NATIONALLICENCE 700 1- Moradian Niloofar Department of Mechanical Engineering, McGill University, 817 Sherbrooke St. West, H3A 2K6, Montreal, Quebec, Canada aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/6(2011-06-01), 781-799 0939-1533 81:6<781 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer