复合材料层合板的三维非线性分析

江晓禹; 张相周; 陈百屏

复合材料层合板的三维非线性分析

1. 西南交通大学成都 610031;
2. 西北工业大学西安 710072

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出版历程
- 收稿日期: 1994-07-12
- 刊出日期: 1996-07-15

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

摘要

摘要: 本文提出了一种研究复合材料层合板壳三维问题的解析方法。该方法采用摄动方法和变分原理来满足三维弹性理论基本微分方程及限制条件,分析了受横向载荷作用的复合材料各向异性单层圆板及层合圆板的三维非线性问题。得到了高精确度的摄动级数解答。大量结果表明横向剪应力和横向正应力在层合板的三维非线性分析中是很重要的。
- 三维问题 /
- 摄动方法 /
- 变分原理 /
- 层合板壳 /
- 非线性
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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参考文献(14)

[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).