夹层圆板大挠度问题的进一步研究<sup>*</sup>

刘人怀; 朱高秋

夹层圆板大挠度问题的进一步研究^*

刘人怀¹,
朱高秋²

1.
上海工业大学;
2.
中国科学技术大学近代力学系

基金项目: * 中国科学院科学基金资助的课题

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出版历程
- 收稿日期: 1988-09-21
- 刊出日期: 1989-12-15

Further Study on Large Deflection of Circular Sandwich Plates

Liu Rea-huai¹,
Zhu Gao-qiu²

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: 本文首次给出了在均布载荷作用下、具有滑动固定边界条件并计及表板抗弯刚度的夹层圆板的非线性问题的解.在求解非线性弯曲方程时,我们提出了修正幂级数方法.然后,把本文结果与刘人怀和施云方的结果作了比较.本文解在工程应用中可用作更精确的基础.

Abstract: In this paper, a nonlinear solution is first presented for a circular sandwich plate with the flexure rigidity of the face layers taken into account. In solving the nonlinear bending equations, a modified power series method is proposed. The uniformly distributed loading and the clamped but sliding boundary condition are also assumed. Then our results are compared with those from Liu Ren-huai and Shi-Yun-fang^[15]. The present solution can be used ax a more accurate basis in engineering applications.

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参考文献(17)

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[2]	Hoff,N.J.,Bending and buckling of sandwich plates,NACA TN 2225(1950).
[3]	Libove,C.and S.B.Batdorf,A general small-deflection theory for flat sandwich plates,NACA TN 1526(1948).
[4]	Kan,H.and J.Huang,Large deflection of rectangular sandwich plates,AIAA J.,5,9(1967),1706.
[5]	Bhimaraddi,A.and K.Chandrashekhara,Comparison of elasticity and sandwich theories for a rectangular sandwich plates,Aero.J.,88,876(1984),229.
[6]	Zaid,M.,Symmetrical bending of circular sandwich plates,Proc.2nd U.S.N.Cong.Appl.Mech.,ASME,New York(1954),413.
[7]	Bruun,E.R.,Thermal deflection of a circular sandwich plate AIAA J.,1,5(1963),1213.
[8]	Huang,J.C.and I.K.Ebciogu,Circular sandwich plate under radial compression and thermal gradient,AIAA J.,3,6(1965),1146.
[9]	Amato,A.J.,Axisymmetric buckling of annular sandwich panels,AIAA J.,10,10(1972),1351.
[10]	刘人怀,在边缘力矩作用下夹层圆板的非线性轴对称弯曲问题,中国科学技术大学学报,10, 2(1980), 56.
[11]	刘人怀,夹层圆板的非线性弯曲,应用数学和力学,2, 2 (1980), 173.
[12]	叶开沉、刘人怀等,在对称线布载荷作用下的圆底扁薄球壳的非线性稳定问题,科学通报,2(1965), 142;兰州大学学报,2(1965), 10.
[13]	叶开沉、刘人怀等,圆底扁薄球壳在边缘力矩作用下的非线性稳定问题,科学通报,2 (1966),145.
[14]	刘人怀.在内边缘均布力矩作用下中心开孔圆底扁球壳的非线性稳定问题,科学通报,3 (1965),263.
[15]	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.
[16]	Liu Ren-huai,Nonlinear bending of circular sandwich plates under the action of axisymmetric uniformly distributed line loads,Progress in Applied Mechanics,Ed.Yeh Kai-yuan,Martinus Nijhoff Publishers,Dordrecht(1987),293.
[17]	Nayfeh,A.H.,Perturbation Methods,John Wiley&Sons,New York(1973).