轴向运动粘弹性板的横向振动特性

周银锋; 王忠民

轴向运动粘弹性板的横向振动特性

西安理工大学理学院,西安 710048

基金项目: 国家自然科学基金资助项目(50575180)

详细信息

作者简介:
周银锋(1975- ),女,咸阳人,博士研究生(E-mail:yinfengzhou@163.com);王忠民(1957- ),男,陕西华县人,教授,博士生导师,博士(联系人.Tel:+86-29-83292773;E-mail:wangzhongm@xaut.edu.cn).

中图分类号: O343
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出版历程
- 收稿日期: 2006-03-04
- 修回日期: 2006-12-14
- 刊出日期: 2007-02-15

Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate

School of Sciences, Xi'an University of Technology, Xi'an 710048, P. R. China

摘要

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．
- 轴向运动粘弹性板 /
- 横向振动 /
- 微分求积法
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.
- axially moving viscoelastic plate /
- transverse vibration /
- differential quadrature method

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参考文献(13)

[1]	Fung R-f, Huang J-S, Chen Y-C. The transient amplitude of the viscoelastic traveling string: an integral constitutive law[J].Journal of Sound and Vibration,1997,201(2):153-167. doi: 10.1006/jsvi.1996.0776
[2]	CHEN Li-qun, ZHAO Wei-jia, Jean W Zu. Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law[J].Journal of Sound and Vibration,2004,278(4/5):861-871. doi: 10.1016/j.jsv.2003.10.012
[3]	CHEN Li-qun. Analysis and control of transverse vibrations of axially moving strings[J].ASME Applied Mechanics Reviews,2005,58(2): 91-116. doi: 10.1115/1.1849169
[4]	CHEN Li-qun, YANG Xiao-dong. Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models[J].Internat J Solids and Structures,2005,42(1):37-50. doi: 10.1016/j.ijsolstr.2004.07.003
[5]	CHEN Li-qun, YANG Xiao-dong. Transverse nonlinear dynamics of axially accelerating viscoelastic beams based on 4-term Galerkin truncation[J].Chaos, Solitons and Fractals,2006,27(3):748-757. doi: 10.1016/j.chaos.2005.04.045
[6]	Ulsoy A G, Mote Jr C D. Vibration of wide band saw blades[J].ASME Journal of Engineering for Industry,1982,104(1):71-78. doi: 10.1115/1.3185801
[7]	Lin C C. Stability and vibration characteristics of axially moving plates[J].Internat J Solids and Structures,1997,34(24):3179-3190. doi: 10.1016/S0020-7683(96)00181-3
[8]	Kim Joohong,Cho Jooyong,Lee Usik,et al.Modal spectral element formulation for axially moving plates subjected to in-plane axial tension[J].Computers and Structures,2003,81(20):2011-2020. doi: 10.1016/S0045-7949(03)00229-3
[9]	杨挺青.黏弹性理论与应用[M].北京: 科学出版社, 2004.
[10]	Flügge W.Viscoelasticity[M].Berlin:Springer-Verlag, 1975.
[11]	王鑫伟. 微分求积法在结构力学中的应用[J].力学进展,1995,25(2):232-240.
[12]	阿尔赛夫A S J,朱正佑. 求解粘性流体和热迁移联立方程的迎风局部微分求积法[J]. 应用数学和力学,2004,25(10):1034-1041.
[13]	Goman D J.Free Vibration Analysis of Rectangular Plates[M].New York:Elsevier North Holland, Inc, 1982.

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文章访问数: 2368
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轴向运动粘弹性板的横向振动特性

作者简介:
周银锋(1975- ),女,咸阳人,博士研究生(E-mail:yinfengzhou@163.com);王忠民(1957- ),男,陕西华县人,教授,博士生导师,博士(联系人.Tel:+86-29-83292773;E-mail:wangzhongm@xaut.edu.cn).

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Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate

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轴向运动粘弹性板的横向振动特性

作者简介: 周银锋(1975- ),女,咸阳人,博士研究生(E-mail:yinfengzhou@163.com);王忠民(1957- ),男,陕西华县人,教授,博士生导师,博士(联系人.Tel:+86-29-83292773;E-mail:wangzhongm@xaut.edu.cn).

计量

出版历程

Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate

计量

出版历程

目录

作者简介:
周银锋(1975- ),女,咸阳人,博士研究生(E-mail:yinfengzhou@163.com);王忠民(1957- ),男,陕西华县人,教授,博士生导师,博士(联系人.Tel:+86-29-83292773;E-mail:wangzhongm@xaut.edu.cn).