Free vibration analysis of the axially moving Levy-type viscoelastic plate

被引：73
|
作者：
Marynowski, Krzysztof [1 ]
机构：
[1] Tech Univ Lodz, Dept Machine Dynam, PL-90924 Lodz, Poland
来源：
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2010年 / 29卷 / 05期
关键词：
Axially moving plate; Viscoelasticity; Rheological models; Dynamic stability; STABILITY; ELEMENT;
D O I：
10.1016/j.euromechsol.2010.03.010
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper, the viscoelastic theory is applied to the axially moving Levy-type plate with two simply supported and two free edges. On the basis of the elastic - viscoelastic equivalence, a linear mathematical model in the form of the equilibrium state equation of the moving plate is derived in the complex frequency domain. Numerical calculations of dynamic stability were conducted for a steel plate. The effects of transport speed and relaxation times modeled with two-parameter Kelvin-Voigt and three-parameter Zener theological models on the dynamic behavior of the axially moving viscoelastic plate are analyzed. (C) 2010 Elsevier Masson SAS. All rights reserved.
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页码：879 / 886
页数：8
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