多夹层板壳的非线性理论及应用(Ⅲ)──扁壳的弯曲和稳定

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Nonlinear Theory of Multilayer Sandwich Shells and lts Application(Ⅲ)-Large Deflection and Postbuckling of Shallow Shells

1.
Institute of Engineering Mechanics, Tongji University, Shanghai 200092, P. R. China;
2.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

摘要: 本文根据文[1]获得的多夹层扁壳非线性基本方程,求解了各种载荷及边界条件下矩形底面多夹层扁壳的非线性弯曲问题,多夹层板、扁柱亮在轴向压力作用下的稳定问题,以及一般形状的扁壳在边界作用力下的变形.
- 多夹层扁壳 /
- 非线性 /
- 弯曲 /
- 稳定
Abstract: In this paper, exact solutions of large deflection of multilayer sandwich shallow shellsunder transverse forces and different boundary conditions are presented. Exact results ofpostbuckling of multilayer sandwich plates, shallow cylindrical shells and nonlineardeflection of general shallow shells such as spherical shells under inplane edge forcesare also obtained by the same procedure.
- multilayer sandwich shallow shells /
- nonlinear /
- deflection /
- postbuckling

[1]	吴建成、潘立宙,多夹层板壳的非线性理论及应用(I)—正交异性材料扁壳的基本方程,应用数学和力学,1s(2)(lss7),lls-lzs.
[2]	C.Y, Chia, Nonlinear Analbsis of Plates, McGraw Hill,New York(1980).
[3]	刘人怀、成振强,简支夹层矩形板的非线性弯曲,应用数学和力学,14(3)(1993),203-218.
[4]	成振强、王秀喜、黄茂光,矩形中厚板和夹层板的后屈曲,应用数学和力学.15(7)(1994),577-582.
[5]	C.Y.Chia, Non-linear free vibration and postbuckling of symmetrically laminated orthotropic imperfect shallow cylindrical panels with two adjacent edges simply supported and the other edges, Int.J.Solids Structures, 23(1987),1123-1132.
[6]	S.V.Rajagopal, et al.,Large deflection and nonlinear vibration of multilayer sandwich plates, AIAA Journal, 25(1987),130-133.