中厚板的弹性屈曲和后屈曲
Buckling and Postbuckling of Moderately Thick Plates
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摘要: 本文采用Reissner假定考虑横向剪切变形的影响,导出弹性矩形板大挠度方程.本文讨论考虑横向剪切变形的矩形板的弹性屈曲和后屈曲.采用文[8]提供的摄动方法,给出了完善和非完善中厚板的后屈曲平衡路径,并与经典薄板理论结果进行了比较.Abstract: This paper gives the basic differential equations for finite deflections of elastic plates according to Reissner's approximate stress distributions. The buckling and postbuckling problems of elastic rectangular plates, including the effect of transverse shear deformation, are solved and discussed, by using perturbation method suggested in ref. [8]. The postbuckling equilibrium paths of perfect and imperfect moderately thick rectangular plates are presented and compared with the results based on thin plate theory.
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[1] Ziegler,H.,The influence of in-plane deformations on the buckling loads of isotropic elastic plates,Ing.-Arch.,53(1983),61-72. [2] Reissner,E.,On the theory of bending of elastic plates,J.Math.Phys.,23(1944),184-191. [3] Reissner,E.,On the effect of transverse shear deformation on the bending of elastic plates.J.Appl.Mech.,12(1945),69-77. [4] Srinivas.S.and A.K.Rao,Buckling of thick rectangular plates,AIAA J..7(1969). 1645-1646. [5] Reddy,J.N.and N.D.Phan,Stability and vibration of isotropic orthotropic and laminated plates according to a high-order shear deformation theory,J.Sound Vibration.98(1985). 157-170. [6] Senthilnathan,N.R.,S.P.Lim,K.H.Lee and S.T.Chow,Buckling of shear-deformable plate,AIAA J.,25(1987),1268-1271. [7] Singh,G.and Y.V.K.Sadasiva Rao,Stability of thick angle-ply composite plates.Computers and Structures,29(1988),317-322. [8] 沈惠申、张建武,单向压缩简支矩形板后屈曲摄动分析,应用数学和力学,9, 8 (1988), 741-762. [9] 沈惠申,矩形板屈曲和后屈曲的弹塑性分析,应用数学和力学.(待发表) -
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