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Transverse vibration characteristics of axially moving viscoelastic plate
作者姓名:周银峰  王忠民
作者单位:School of Sciences Xi'an University of Technology,School of Sciences,Xi'an University of Technology,Xi'an 710048,P.R.China,Xi'an 710048,P.R.China
摘    要:The dynamic characteristics and stability of axially moving viscoelastic rect- angular 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 trans- verse vibration and stability of the axially moving viscoelastic plate are analyzed.

关 键 词:粘弹性质  力学性质  弹性力学  二维问题
收稿时间:2006-03-10
修稿时间:2006-12-14

Transverse vibration characteristics of axially moving viscoelastic plate
Zhou?Yin-feng,Wang?Zhong-min.Transverse vibration characteristics of axially moving viscoelastic plate[J].Applied Mathematics and Mechanics(English Edition),2007,28(2):209-218.
Authors:Zhou Yin-feng  Wang Zhong-min
Institution:School of Sciences, Xi'an University of Technology, Xi'an 710048, P. P. China
Abstract:The dynamic characteristics and stability of axially moving viscoelastic rect- angular 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 trans- verse vibration and stability of the axially moving viscoelastic plate are analyzed.
Keywords:axially moving viscoelastic plate  transverse vibration  differential quadrature method
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