Nonlinear Three-Dimensional Analysis of Composite Laminated Plates

Jiang Xiaoyu; Zhang Xiangzhou; Chen Baipin

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(7): 589-600

Jiang Xiaoyu, Zhang Xiangzhou, Chen Baipin. Nonlinear Three-Dimensional Analysis of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1996, 17(7): 589-600.

Citation:

Jiang Xiaoyu, Zhang Xiangzhou, Chen Baipin. Nonlinear Three-Dimensional Analysis of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1996, 17(7): 589-600.

Citation:

Jiang Xiaoyu, Zhang Xiangzhou, Chen Baipin. Nonlinear Three-Dimensional Analysis of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1996, 17(7): 589-600.

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Nonlinear Three-Dimensional Analysis of Composite Laminated Plates

1. Southwestern Jiaotong University, Chengdu 630031, P. R. China;
2. Northwestern Polytechnical University, Xi'an 710072, P. R. China

Received Date: 1994-07-12
Publish Date: 1996-07-15

Abstract

Abstract

In this paper. an analytic method is. presented. for the research of nonlinear Three-dimensional problems of composite laminated plates. The perturbation method and the variational principle are used to satisfy the basic differential equations and the boundary conditions of the three-dimensional theory of elasticity. The nonlinear three-dimensional problems are studied. for composite anisotropic circular laminas and laminates subjected to transverse loading. The perturbation series solutions of high accuracy are obtained. A large number of results show that transverse normal stress and transverse shear stresses are very important in the nonlinear three-dimensional analysis of laminated plates.
- three-dimensional problem,
- perturbation method,
- variationalprinciple,
- laminated plate,
- nonlinearity

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References(14)

References

[1]	C.I.Wu and J.R.Vinson,Influence of large amplitude transverse shear deformation and rotatory inertia on lateral vibrations of transversely isotropic plates,ASME.J.Appl.Meth.,36(1969),254-260.
[2]	C.I.Wu and J.R.Vinsbn,On the nonlinear oscillations of plates composed of composite materials,J.Composite Materials,3(1969),548-561.
[3]	C.I.Wu and J.R.,Vinson,Nonlinear oscillations of laminated specially orthotropic plates with clamped and simply supported edges,J.Acoust.Soc.Am,49(1971),1561-1567.
[4]	M.Sathyamoorthy,Shear and rotatory inertia effects on large amplitude vibration of skew plates,J.Sound Vih.,52(1977),155-163.
[5]	M.Sathyamoorthy,Vibration of plates considering shear and rotatory inertia,AIAA J.,16(1978).285-286.
[6]	M.Sathyamoorthy,Shear and rotatory inertia effects on the large amplitude vibration of plates,J.Eng.Mech.Dii.,Proc.ASCE,104,5(1978),1288-1293.
[7]	M.Sathyamoorthy,Shear effects on vibration of plates,J.Sornrd Vib.,60(1978),308-311.
[8]	K.N Ahmed and W.S.Burton,Three-dimensional so-lutions Cor antisymmetrically laminated anisotropic plates,ASME J.Appl.llTech.,57(1990),182-188.
[9]	N.J.Pagano and S.J.Hatfield,Elastic behavior of multilayered bidirectional composites,AIAA J.,10(1970),931-933.
[10]	Chia Chuenyuan,Nonlinear Analysis of Plates,McGraw-Hill Inc.,New York(1980).
[11]	A.H.Nayfen,Introduction to Perturbation Teclrnigrres,John Wiley and Sons.,(1981).
[12]	C.W.Lee,Three-dimensional solution for simply-supported thick retangular plates,Nuclear Engineersig and Design,6(1967),155-162.
[13]	徐芝伦,《弹性力学》,高等教育出版社,北京(1987).
[14]	江晓禹.复合材料层合板壳的三维线性及非线性、静力及动力分析,西北工业大学博士学位论文(1992).