矩形中厚板和夹层板的后屈曲

Postbuckling Behavior of Rectangular Moderately Thick Plates and Sandwich Plates

Department of Modern Mechanics, University of Science and Technologg of China, Hefei

摘要: 本文研究了矩形Reissner中厚板和夹层板的后屈曲特性。首先将矩形中厚板和夹层板的基本方程和边界条件表述成统一的无量纲形式。对不同的边界条件,特别是不对称边界条件,文中发展了一种应用于非线性分析的混合Fourier级数求解新方法,获得了级数形式的精确解。非线性偏微分方程化为无穷元非线性代数方程组,数值计算中截取有限项进行迭代求解。
- 后屈曲 /
- 中厚板 /
- 夹层板
Abstract: Postbuckling behavior is investigated for Reciangular Reissner's moderately thickplates and sandwich plates. The fundamental equations and boundary conditions areevpressed in unified dimensionless form for reciangular moderaiely thick plaies and sanduich plaies. Exact solutions of series form with a number of different boundary conditions, especially with unsmmetrical boundary conditions, are oblained bydeveloping a new technique of mixed Fourier series in nonlinear analisis. The nonlinear parlial differenlial equalions are reduced to an infinite set of simultaneous nonlinear algebraic equations, which are truncated by iteration in numerical compulations.
- postbuckling /
- moderately thick plates /
- sandwich plates

[1]	Reissner, E,,The effect of transverse shear deform ations on the bending of elastic plates, ASME Journal of Applied Mechanics, 12(1945), A69-A77.
[2]	Mindlin, R.D,,Influence of rotatory inertia and shcar on flexural motions of isotropic elastic plates, A SME Journal of Applied M echanics, 18(1951),31-38.
[3]	Reissner, E, Finite, deflections of sandwich plates, Journal of the Aeronautical Sciences, 15(7)(1948), 435-440; 17(2)(1950), 125-135.
[4]	Pica, A, and R.D, wood, Postbucking behavior of plates and shells using a Mindlin shallow shell formulation, Computers&Structures, 12(5)(1980).759-788.
[5]	Chen, L,W.and J. L, Doong, Postbuckling behavior of a thick plate, AIAA Journal, 21 (8)(1983), 1157-1161.
[6]	Ssein, M,,Nonlinear theory for plates and shells including the effects of transverse shearing, AIAA Journal, 24(9)(1986),1537-1544.
[7]	Stein, M,,Effects of transverse shearing flexibility on postbuckling of plates in shear, AIAA Journal, 27(5)(1989).652-655.
[8]	He, L, W, and C, J.Cheng, Nonlinear buckled states of rectangular sandwich plates and their stabilities, International Joural of Non-Linear Mechanics, 27(3)(1992), 423-435.
[9]	Cheng, Z.Q.,Nonlinear bending, stability and vibration of rectangular mode-rately thick plates and sandwich plates, Ph.D Thesis, University of Science and Technology of China(May, 1991).