Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate

ZHOU Yin-feng; WANG Zhong-min

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(2): 191-199

ZHOU Yin-feng, WANG Zhong-min. Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(2): 191-199.

Citation:

ZHOU Yin-feng, WANG Zhong-min. Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(2): 191-199.

Citation:

ZHOU Yin-feng, WANG Zhong-min. Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(2): 191-199.

PDF( 740 KB)

Transverse Vibration Characteristics of Axially Moving Viscoelastic Plate

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

Received Date: 2006-03-04
Rev Recd Date: 2006-12-14
Publish Date: 2007-02-15

Abstract

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

FullText(HTML)

References(13)

References

[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.