简支夹层矩形板的非线性弯曲

刘人怀; 成振强

简支夹层矩形板的非线性弯曲

刘人怀¹,
成振强²

1.
上海工业大学;
2.
中国科学技术大学上海市应用数学和力学研究所

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出版历程
- 收稿日期: 1991-11-22
- 刊出日期: 1993-03-15

Nonlinear Bending of Simply Supported Rectangular Sandwich Plates

Liu Ren-huai¹,
Cheng Zhen-qiang²

1.
Shanghai University of Technology., Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
2.
Department of Modern Mechanics, University of Science and Technology of China, Hefei

摘要

摘要: 本文应用变分法导出了具有软夹心的夹层矩形板的非线性弯曲理论的基本方程和边界条件.然后,使用摄动法研究了均布横向载荷作作用下简支夹层矩形板的非线性弯曲问题,得到了相当精确的解析解.
- 夹层矩形板 /
- 非线性弯曲
Abstract: In this paper,fundamental equations and boundary conditions of the nonlinear bending theory for a rectangular sandwicl slate with a soft core are derived by means of the method of calculus of variations.Then the nonlinear bending for a simply supported rectangular sandwich plate under the uniform lateral load is investigated by use of the perturbation method and a quite accurate analytic solution is obtained.
- rectangular sandwich plate /
- nonlinear bending

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参考文献(14)

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[2]	刘人怀.夹层圆板的非线性弯曲.应用数学和力学,2(2)(1981),173.
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[4]	刘人怀、施云方,夹层圆板大挠度问题的精确解,应用数学和力学,3(1)(1982),11.
[5]	Liu Ren-huai,Nonlinear bending of circular sandwich plates under the action of axisymmetric uniformly distributed line loads,Progress in Applied Mechanics(edited by Yeh Kai-yuan),Martinus Nijhoff Publishers,Dordrecht(1987),293.
[6]	刘人怀、朱高秋,夹层圆板大挠度问题的进一步研究,应用数学和力学,10(12)(1989),1041.
[7]	刘人怀、吴建成,夹层矩形板的非线性振动,中国科学,A辑,(9)(1991).
[8]	Kan,H.P.and J.C.Huang,Large deflection of rectangular sandwich plates,AIAA Journal,5,9(1967),1706.
[9]	Alwan,A.M.,Bending of sandwich plates with large deflection,Journal of the Engineering Mechanics Division,Proceedings of the American Society of Civil Engineers,93,EM3(1967),83.
[10]	Kamiya,N.,Governing equations for large deflection of sandwich plates,AIAA Journal,5,9(1967),1706.
[11]	中国科学院北京力学研究所固体力学研究室板壳组,《夹层板壳的弯曲、稳定和振动》,科学出版社,北京(1977).
[12]	胡海昌,各向同性夹层板反对称小挠度的若千问题,力学学报,6(1)(1983),53.
[13]	Iyengar,Sundara Raja,K.T.and M.M.Naqvi,Large deflection of rectangular plates,Int.J.Non-Linear Mech.,1,2(1966),109.
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