| 轴向运动粘弹性板的横向振动特性 |
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| 引用本文： | 周银锋,王忠民. 轴向运动粘弹性板的横向振动特性[J]. 应用数学和力学, 2007, 28(2): 191-199 |
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| 作者姓名： | 周银锋 王忠民 |
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| 作者单位： | 西安理工大学 理学院,西安 710048 |
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| 摘 要： | 研究了轴向运动粘弹性矩形薄板的动力特性和稳定性问题．从二维粘弹性微分型本构关系出发，建立了轴向运动粘弹性板的运动微分方程．采用微分求积法，对四边简支、一对边简支一对边固支两种边界条件下粘弹性板的无量纲复频率进行了数值计算．分析了薄板的长宽比、无量纲运动速度及材料的无量纲延滞时间对其横向振动及稳定性的影响．
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| 关 键 词： | 轴向运动粘弹性板 横向振动 微分求积法 |
| 文章编号： | 1000-0887（2007）02-0191-09 |
| 收稿时间： | 2006-03-04 |
| 修稿时间： | 2006-03-04 |
Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate |
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| ZHOU Yin-feng,WANG Zhong-min. Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(2): 191-199 |
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| Authors: | ZHOU Yin-feng WANG Zhong-min |
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| Affiliation: | School of Sciences, Xi'an University of Technology, Xi'an 710048, P. R. China |
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| Abstract: | 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 were 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 were 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 were analyzed. |
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| Keywords: | axially moving viscoelastic plate transverse vibration differential quadrature method |
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