Bending and Vibration of Composite Laminated Plates

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(4): 331-338

Deng Liang-bo. Bending and Vibration of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1989, 10(4): 331-338.

Citation:

Deng Liang-bo. Bending and Vibration of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1989, 10(4): 331-338.

Citation:

Deng Liang-bo. Bending and Vibration of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1989, 10(4): 331-338.

Abstract

Hybrid-stress finite element method is applied for analysis of bending and vibration of composite laminated plates in this paper.Firstly,based on the modified-complementary principle,a reciangular hybrid-stress plate bending element is presented which applies to analysis of laminates.Inside the element,different stress parameters are assumed according to different layers.The boundary displacements are determined by means of theassumption of YNS theory on the boundary of elements.The element formed in this way not only can take effects of transverse shear deformation and local warping into account,but also has less degrees of freedom.Then.problems of bending and vibration of laminates aresolved by using this element.and the numerical results are compared with the exact solutions.This shows that the results obtained in the paper are very close to the exactresults.

[1]	Mau, S, T.,P.Tong and T.H.H.Piav, Finite element solutions for lamsnated thick plate, T, Compos, Mater.,6 (1972), 304.
[2]	Spilker, R.L.,S. C.Chou and O. Orringer,Alternate hybrid stress element for analysis ofmultilayer compesita plates, J, Compos.Mater.,17 (1977), 51.
[3]	Spilker, R, L.,Evaluation of a hybrid-stress formulation for thick amltilayer laminates,Fibrous Composite in Structural Design, New York,Plenum Press (1980),39,9.
[4]	Spilker, R, L., Invariant 8-node hybrid-stress element for thin and moderately thick plates, Int.J.Numer, Meth, Engng., 18 (1982), 1153.
[5]	Pian, T.H.H.and P.Tong, Basis of finite element methods for solid continua, Int.J.Numer, Meth.Engng.,1 (1963), 3.
[6]	Pagano, N.J.,Egadsolutionl for rectangular bidirectional composites and sandwich plates, J, Compos, Mater.,4(1970), 20.
[7]	Bext, C,W.and T, C, C, Chen, Effect of shear deformation on vibration of antisymmetric angle-ply laminated rectangular plates, Int.J.Solid Struct.,14(1978), 465.
[8]	Reddy, J.N.,Frec vibration of antisymmetric angle-ply laminated plates including transverse shear deformation by the finite element method,J.Sound Trib.,66 (1979),565.