Equilibria of axially moving beams in the supercritical regime |
| |
Authors: | Hu Ding Li-Qun Chen |
| |
Institution: | 1.Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai,China;2.Department of Mechanics,Shanghai University,Shanghai,China |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|