期刊
MECHANICS RESEARCH COMMUNICATIONS
卷 38, 期 1, 页码 52-56出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2010.12.003
关键词
Axially moving beam; Nonlinearity; Supercritical; Equilibrium; Finite difference method
类别
资金
- National Outstanding Young Scientists Fund of China [10725209]
- National Science Foundation of China [10902064]
- Shanghai Subject Chief Scientist Project [09XD1401700]
- Shanghai Leading Academic Discipline Project [S30106]
- program for Changjiang scholars and Innovative Research Team in University [IRT0844]
In this paper supercritical equilibria and critical speeds of axially moving beams constrained by sleeves with torsion springs are deduced. Transverse vibration of the beams is governed by a nonlinear integro-partial-differential equation. In the supercritical regime, the corresponding static equilibrium equation for the hybrid boundary conditions is analytically solved for the equilibria and the critical speeds. In the view of the non-trivial equilibrium, comparisons are made among the integro-partial-differential equation, a nonlinear partial-differential equation for transverse vibration, and coupled equations for planar motion under the hybrid boundary conditions. (C) 2010 Elsevier Ltd. All rights reserved.
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