Transverse vibration characteristics of axially moving viscoelastic plate

Transverse vibration characteristics of axially moving viscoelastic plate
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DOI:
10.1007/s10483-007-0209-1
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发表时间:
2007-02
影响因子:
--
通讯作者:
Yin-feng Zhou;Zhong-min Wang
Yin-feng Zhou;Zhong-min Wang
中科院分区:
--
文献类型:
--
作者:
Yin-feng Zhou;Zhong-min Wang

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研究了轴向运动粘弹性矩形薄板的动力特性和稳定性。基于二维粘弹性微分本构关系,建立了轴向运动粘弹性板的运动微分方程。用微分求积法计算了四边简支、两边简支、两边固支的轴向运动粘弹性板的无量纲复频率。分析了材料的纵横比、移动速度和无量纲延迟时间对轴向运动粘弹性板横向振动和稳定性的影响。
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.