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.

# Nonlinear Three-Dimensional Analysis of Composite Laminated Plates

• Publish Date: 1996-07-15
• 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.
•  [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).

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