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[1]侯朝胜,周伟毅.夹层圆板和夹层扁球壳非线性弯曲的进一步研究[J].天津大学学报(自然科学版),2009,(12):1072-1077.
 HOU Chao-sheng,ZHOU Wei-yi.Further Study on Nonlinear Bending of Circular Sandwich Plates and Shallow Spherical Sandwich Shells[J].Journal of Tianjin University,2009,(12):1072-1077.
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夹层圆板和夹层扁球壳非线性弯曲的进一步研究()
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《天津大学学报(自然科学版)》[ISSN:0493-2137/CN:12-1127/N]

卷:
期数:
2009年12
页码:
1072-1077
栏目:
建筑工程
出版日期:
2009-12-15

文章信息/Info

Title:
Further Study on Nonlinear Bending of Circular Sandwich Plates and Shallow Spherical Sandwich Shells
文章编号:
0493-2137(2009)12-1072-06
作者:
侯朝胜周伟毅
天津大学建筑工程学院,天津 300072
Author(s):
HOU Chao-shengZHOU Wei-yi
School of Civil Engineering,Tianjin University,Tianjin 300072,China
关键词:
夹层圆板夹层扁球壳大挠度非线性稳定配点法抛物线法
Keywords:
circular sandwich plateshallow spherical sandwich shelllarge deflectionnonlinear stabilitymethod of point collocationparabolic method
分类号:
TU33
文献标志码:
A
摘要:
以幂函数为试函数,用配点法计算了夹层圆板和夹层扁球壳的非线性弯曲.夹层板壳采用较精确的刘人怀模型(考虑表板弯曲刚度),求得了夹层圆板的挠度、内力,首次求出了夹层扁球壳的上、下临界荷载.所得的结果同 Reissner 模型(不考虑表板弯曲刚度)的结果做了比较.提出并使用了效率较高的抛物线法计算临界荷载.
Abstract:
Taken power function as a trial function,nonlinear bending of circular sandwich plates and shallow spherical sandwich shells was discussed by means of point collocation. A sandwich plate or shell was assumed to be the more accurate model (Liu’s model where the flexure rigidity of the face layers of shells was taken into account). The deflection and internal forces of circular sandwich plates were computed. Upper and lower critical loads of spherical sandwich shells were obtained for the first time. Results were compared with those obtained by use of Reissner′s model, not taking the flexure rigidity of the face layers of shells into account. Efficient parabolic method was put forward and applied to calculate the critical load.

参考文献/References:

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[5] 侯朝胜,李忠献. 夹层扁薄球壳的非线性稳定[J]. 天津大学学报,1997,30(4):495-499. Hou Chaosheng,Li Zhongxian. Nonlinear stability of a shallow spherical thin shell of sandwich construction [J]. Journal of Tianjin University,1997,30(4):495-499(in Chinese).
[6] 徐加初,王 乘,黄玉盈,等.夹层扁球壳的非线性稳定性[J].固体力学学报,2000,21(4):366-370. Xu Jiachu,Wang Cheng,Huang Yuying,et al. Nonlinear stability of shallow spherical sandwich shells [J]. ACTA Mechanica Solida Sinica,2000,21(4):366-370(in Chinese).
[7] 刘人怀.夹层板壳非线性理论分析[M].广州:暨南大学出版社, 2007. Liu Renhuai. Nonlinear Theory and Analysis of Sandwich Plates and Shells[M].Guangzhou:Jinan University Press,2007(in Chinese).
[8] 侯朝胜. 用配点法计算受轴对称分布荷载的球面扁薄圆壳的非线性稳定[J]. 上海力学,1989,10(1):43-50. Hou Chaosheng. Calculation for nonlinear stability of a shallow spherical thin shell under axisymmetrically distributed load by the method of point collocation [J]. Shanghai Journal of Mechanics,1989,10(1):43-50(in Chinese).
[9] 侯朝胜. 用矩法计算受轴对称分布荷载的扁圆壳薄壳的非线性稳定[J]. 工程力学,1987,4 (1):1-10. Hou Chaosheng. Nonlinear stability of conical shallow shells subjected to axisymmetric distributed load by using the moments method [J]. Engineering Mechanics,1987, 4(1):1-10(in Chinese).
[10] Reissner E. Finite deflection of sandwich plates [J]. J Aero Sci,1948,15(7):435-440.
[11] Reissner E. Errata-finite deflection of sandwich plates [J]. J Aero Sci,1950,17(2):125-130.
[12] Liu Renhuai,Shi Yunfang. Exact solution for circular sandwich plates with large deflection [J]. Applied Mathematics and Mechanics,1982,3 (1):11-28.

相似文献/References:

[1]侯朝胜,周伟毅.轴对称线荷载作用下夹层扁球壳的非线性弯曲[J].天津大学学报(自然科学版),2009,(03):227.
 HOU Chao-sheng,ZHOU Wei-yi.Nonlinear Bending of Shallow Spherical Sandwich Shells Subjected to Axisymmetric Line Load[J].Journal of Tianjin University,2009,(12):227.

备注/Memo

备注/Memo:
收稿日期:2008-10-20;修回日期:2009-05-27.
作者简介:侯朝胜(1945— ),男,副教授.
通讯作者:侯朝胜,lghcs@yahoo.com.cn.
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