caa a22 4500 44581134X CHVBK 20180317145212.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00419-009-0394-y doi (NATIONALLICENCE)springer-10.1007/s00419-009-0394-y Equilibria of axially moving beams in the supercritical regime [Elektronische Daten] [Hu Ding, Li-Qun Chen] Equilibria of axially moving beams are computationally investigated in the supercritical transport speed ranges. In the supercritical regime, the pattern of equilibria consists of the straight configuration and of non-trivial solutions that bifurcate with transport speed. The governing equations of coupled planar is reduced to a partial-differential equation and an integro-partial-differential equation of transverse vibration. The numerical schemes are respectively presented for the governing equations and the corresponding static equilibrium equation of coupled planar and the two governing equations of transverse motion for non-trivial equilibrium solutions via the finite difference method and differential quadrature method under the simple support boundary. A steel beam is treated as example to demonstrate the non-trivial equilibrium solutions of three nonlinear equations. Numerical results indicate that the three models predict qualitatively the same tendencies of the equilibrium with the changing parameters and the integro-partial-differential equation yields results quantitatively closer to those of the coupled equations. Springer-Verlag, 2009 Axially moving beam nationallicence Nonlinearity nationallicence Supercritical nationallicence Transverse vibration nationallicence Finite difference method nationallicence Differential quadrature method nationallicence Ding Hu Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 149 Yan Chang Road, 200072, Shanghai, China aut Chen Li-Qun Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 149 Yan Chang Road, 200072, Shanghai, China aut Archive of Applied Mechanics Springer-Verlag 81/1(2011-01-01), 51-64 0939-1533 81:1<51 2011 81 419 https://doi.org/10.1007/s00419-009-0394-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-009-0394-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ding Hu Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 149 Yan Chang Road, 200072, Shanghai, China aut NATIONALLICENCE 700 1- Chen Li-Qun Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 149 Yan Chang Road, 200072, Shanghai, China aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/1(2011-01-01), 51-64 0939-1533 81:1<51 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer