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复合材料层合板的分析

叶开沅 邓梁波

叶开沅, 邓梁波. 复合材料层合板的分析[J]. 应用数学和力学, 1988, 9(4): 287-295.
引用本文: 叶开沅, 邓梁波. 复合材料层合板的分析[J]. 应用数学和力学, 1988, 9(4): 287-295.
Yeh Kai-yuan, Deng Liang-bo. Analysis of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1988, 9(4): 287-295.
Citation: Yeh Kai-yuan, Deng Liang-bo. Analysis of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1988, 9(4): 287-295.

复合材料层合板的分析

Analysis of Composite Laminated Plates

  • 摘要: 在复合材料层合板静力和动力分析方面,本文提出了一个层合板理论.此理论从板的总挠度中分开了由弯曲所产生的挠度Wb与由剪切产生的挠度Ws,因而使得求控制方程的解变得容易了.而且便于讨论和分析横向剪切变形对层合板弯曲,振动和稳定性的影响.
  • [1] Yang,P.C,,C.H.Norris and Y.Stavsky,Elastic wave propagation in heterogeneous plates,Int.J.Solids Struct.,2 (1966),665-684.
    [2] Mindlin,R.D.,Influence of rotary inertia and shear on flexural motions of isotropic,elastic plates,J.Appl.Mech.,18 (1951),31-38.
    [3] Whitney,J.M.and N.J.Pagano,Shear deformation in heterogeneous anisotropic plates,J.Appl.Mech.,37 (1970),1031-1036.
    [4] Whitney,J.M.,and C.T.Sun,A higher order theory for extensional motion of laminated composites,J.Sound Vib.,30 (1973),85-97.
    [5] Nelson,R.B.and D.R.Lorch,A refined theory for laminated orthotropic plates,J.Appl.Mech.,40 (1974),177-183.
    [6] Mindlin,R.D.,et al.,Flexural vibrations of rectangular plates,J.Appl.Mech.,23,3 (1956),430-436.
    [7] Uflyand,Y.S.,The propagation of waves in the transverse vibrations of bars and plates,Akademiga Nauk SSSR,Prikladnaya Matematika i Mekhanika,12 (1948),287-300.
    [8] Reddy,J.N.,A penalty plate-bending element for the analysis of laminated anisotropic composite,Int.J.Num.Meth.Engng.,15 (1980),1187-1206.
    [9] Pagano,N.J.,Exact solutions for rectangular bidirectional composite and sandwich plates,J.Compos.Mater.,4 (1970),20-34.
    [10] Panda,S.C.and R.Natarajan,Finite element analysis of laminated composite plates.,Int.J.Num.Meth.Engng.,14 (1979),69-79.
    [11] Mawenya,A.S.and J.D.Davies,Finite element bending analysis of multilayer plates,Int.J.Num.Meth.Engng.,8 (1974),215-225.
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出版历程
  • 收稿日期:  1987-03-04
  • 刊出日期:  1988-04-15

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