夹层圆板的非线性弯曲

刘人怀

夹层圆板的非线性弯曲

刘人怀

合肥中国科学技术大学近代力学系

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出版历程
- 收稿日期: 1980-04-01
- 刊出日期: 1981-04-15

Nonlinear Bending of Circular Sandwich Plates

Liu Ren-huai

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

摘要

摘要: 本文导出了具有软夹心的夹层圆板的非线性轴对称弯曲理论的基本方程和边界条件,并给出了表板很薄情况下的这些方程和边界条件的简化形式.作为算例,研究了在均布横向载荷作用下具有滑动固定边界条件的夹层圆板,使用修正迭代法,得到了相当精确的解析解.

Abstract: In this paper, fundamental equations and boundary conditions of nonlinear axisymmetrical bending theory for the circular sandwich plates with a soft core are derived by means of the method of calculus of variations. Especially in the case of very thin faces, the preceding fundamental epuations and boundary conditions simplity considerably. For example, a circular sandwich plate with edge clamped but free to slip under the action of uniform lateral load is considered. A more accurate solution of this problem has been obtained by means of the modified iteration method.All results are presented in figures which are ready for direct application.

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参考文献(13)

[1]	Zaid,M.,Symmetrical bending of circular sandwich plates,Proceedings of the Second United States National Congress of Applied Mechanics,ASME,New York,(1954) 413.
[2]	Bruun,E.R.,Thermal deflection of a circular sandwich plate,AIAA J,1,5(1963),1213.
[3]	Huang,J.C.and Ebcioglu,I.K.,Clrcular sandwich plate under radial compression and thermal gradient,AIAA J,3,6(1965),1146.
[4]	Amato,A,J.,Axisymmetric buckling of annular sandwich panels,AIAA J,10,10(1972),1351.
[5]	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,(即将发表)
[6]	叶开沅、刘人怀、平庆元、李思来,在对称线布荷载作用下的圆底扁薄球壳的非线性稳定问题,兰州大学学报(自然科学),第2期10页(1965),科学通报,第2期142页(1965).
[7]	叶开沅、刘入怀、张传智、徐一帆,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,第2期145页(1965).
[8]	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,第3期253页(1965).
[9]	刘人怀,在边缘载荷作用下中心开孔圆底扁薄球壳的轴对称稳定性,力学,第3期206页(1977).
[10]	刘人怀,波纹圆板的特征关系式,力学学报,第1期47页(1978).
[11]	刘人怀,具有光滑中心的波纹圆板的特征关系式,中国科学技术大学学报,第9卷第2期75页(1979).
[12]	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,第42页(1977).
[13]	Reissner,E.,Finite deflection of sandwich plates,J.Aeron.Sci.,15,7(1948),435;17,2(1950)125.