Two-dimensional rheological element in modelling of axially moving viscoelastic web

被引：34

作者：

Marynowski, K. ^{[1
]}

机构：

[1] Tech Univ Lodz, Dept Dynam Machines, PL-90924 Lodz, Poland

来源：

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2006年 / 25卷 / 05期

关键词：

rheological models; axially moving web; dynamic stability;

D O I：

10.1016/j.euromechsol.2005.10.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

To model the axially moving viscoelastic web material a two-dimensional rheological element is used in this paper. This model is formed by elastic region and viscoelastic region. Using two-dimensional rheological model and the plate theory the differential equation of motion in the form of the eighth-order linear partial differential equation that governs the transverse vibrations of the system is derived. The Galerkin method is applied to simplify the governing equation into two-order truncated system defined by the set of ordinary differential equations. Numerical investigations of dynamic stability of the paper web were carried out. The effects of the transport speed and the internal damping on the dynamic behaviour of the axially moving web are presented in this paper. (C) 2005 Elsevier SAS. All rights reserved.

引用

页码：729 / 744

页数：16

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