Transverse vibration characteristics of axially moving viscoelastic plate

被引：34
|
作者：
Zhou Yin-feng [1 ]
Wang Zhong-min [1 ]
机构：
[1] Xian Univ Technol, Sch Sci, Xian 710048, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2007年 / 28卷 / 02期
基金：
中国国家自然科学基金;
关键词：
axially moving viscoelastic plate; transverse vibration; differential quadrature method;
D O I：
10.1007/s10483-007-0209-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamic characteristics and stability of axially moving viscoelastic rectangular thin plate are investigated. Based on the two dimensional viscoelastic differential constitutive relation, the differential equations of motion of the axially moving viscoelastic plate are established. Dimensionless complex frequencies of an axially moving viscoelastic plate with four edges simply supported, two opposite edges simply supported and other two edges clamped are calculated by the differential quadrature method. The effects of the aspect ratio, moving speed and dimensionless delay time of the material on the transverse vibration and stability of the axially moving viscoelastic plate are analyzed.
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页码：209 / 218
页数：10
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