Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates

HU Ming-yong; WANG An-wen

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(1): 101-108

HU Ming-yong, WANG An-wen. Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates[J]. Applied Mathematics and Mechanics, 2009, 30(1): 101-108.

Citation:

HU Ming-yong, WANG An-wen. Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates[J]. Applied Mathematics and Mechanics, 2009, 30(1): 101-108.

Citation:

HU Ming-yong, WANG An-wen. Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates[J]. Applied Mathematics and Mechanics, 2009, 30(1): 101-108.

PDF( 2352 KB)

Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates

College of Science, Naval University of Engineering, Wuhan 430033, P. R. China

Received Date: 2007-11-21
Rev Recd Date: 2008-10-31
Publish Date: 2009-01-15

Abstract

Abstract

Based on Reddy.s layerwise theory, the governing equations for dynamic response of viscoelastic laminated plate were derived by using the quadratic inter polation function for displacement in the direction of plate thickness. And the vibration frequencies and loss factors were calculated for free vibration of simply supported viscoelastic sandwich plate, which shows a good agreement with the data in the reference. And harmonio us transverse stresses can be obtained. The transverse shear stresses are the main factor that leads to the delamination of viscoelastic laminated plate in lower-frequency free vibration and the transverse normal stress in higher-frequency free vibration. The relationship of the modulus of viscoelastic materials to transverse stress was analyzed. The ratio of transverse stress max-value to in-plane stress max-value was obtained. The results show that the method, equations and programs are reliable.
- viscoelastic,
- layerwise theory,
- transverse stress,
- laminated plate

FullText(HTML)

References(14)

References

[1]	Bose P,Reddy J N.Analysis of composite plate using various plate theories, Part 1-Formulation and analytical solution[J].Structural Engineering and Mechanics,1998,6(6):583-612.
[2]	Reissner E.The effect of transverse shear deformations on the bending of elastic plates[J].Journal of Applied Mechanics,1945,12(2):69-77.
[3]	Mindlin R D.Influence of rotatory inertia and shear on flexural motion of isotropic elastic plates[J].Journal of Applied Mechanics，1951，18(1):31-38.
[4]	Awrejcewicz J,Krysko V A.3-D theory versus 2-D approximate theory of free orthotropic (isotropic) plate and shell vibrations,part1:derivation of governing equations[J].Journal of Sound and Vibration，1999，226(5):807-829. doi: 10.1006/jsvi.1999.2321
[5]	Reddy J N.Theories and computational models for composite laminate[J].Applied Mechanics Reviews,1994,47(6):147-169. doi: 10.1115/1.3111076
[6]	Reddy J N.A simple higher-order theory for laminated composite shells[J].Journal of Applied Mechanics,1984,51(12):745-752. doi: 10.1115/1.3167719
[7]	Reddy J N.A refined nonlinear theory of plates with transverse shear deformation[J].International Journal of Solids and Structures,1984,20(9):881-896. doi: 10.1016/0020-7683(84)90056-8
[8]	Reddy J N.A general non-linear third-order theory of plates with moderate thickness[J].International Journal of Non-Linear Mechanics,1990,25(4):677-686. doi: 10.1016/0020-7462(90)90006-U
[9]	Reddy J N.Mechanices of Laminated Composite Plates[M].New York:CRC-Press,1997.
[10]	Yand H T Y,Saigal S,Masud A,et al.A survey of recent shell finite elements[J].International Journal of Numerical Method in Engineering,2000,47(1):101-127. doi: 10.1002/(SICI)1097-0207(20000110/30)47:1/3<101::AID-NME763>3.0.CO;2-C
[11]	Hughes T J R,Tezduyar T E.Finite elements based upon mindlin plate theory with particular reference to the four node bilinear isoparametric element[J].Journal of Applied Mechanics,1981,48(10):587-596. doi: 10.1115/1.3157679
[12]	Xiao C Z,Lin D X,Ju F.Finite element analysis of modal parameters on anisotropic laminated plates[J].Journal of Vibration, Acoustics Stress and Reliability in Design,1988,110(4):473-477. doi: 10.1115/1.3269553
[13]	Reddy J N.Theories and computational models for composite laminate[J].Applied Mechanics Reviews，1994,47(6):147-169. doi: 10.1115/1.3111076
[14]	Cupial P,Niziol J.Vibration and damping analysis of a three-layered composite plate with a viscoelastic mid-layer[J].Journal of Sound and Vibration,1995,183(1):99-114. doi: 10.1006/jsvi.1995.0241