| 夹层扁薄球壳的非线性稳定 |
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| 引用本文： | 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(自然科学与工程技术版),1997,30(4):495-499. |
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| 作者姓名： | 侯朝胜 李忠献 |
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| 作者单位： | 土木工程系 |
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| 摘 要： | 以幂函数为试函数，用配点法计算受轴对称分布荷载的夹层扁薄球壳的非线性稳定。夹层壳采用Ｒｅｉｓｓｎｅｒ模型，当球壳退化为圆板，在均布荷载作用下，本法同幂级数法取得了相同的结果。在相同的精度要求下，本法的审函数所取项数仅为幂级数法为１／１３，计量小得多。
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| 关 键 词： | 夹层球壳 非线性稳定 配点法 球壳 载荷 |
NONLINEAR STABILITY OF A SHALLOW SPHERICAL THIN SHELL OF SANDWICH CONSTRUCTION |
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| Hou Chaosheng,Li Zhongxian.NONLINEAR STABILITY OF A SHALLOW SPHERICAL THIN SHELL OF SANDWICH CONSTRUCTION[J].Journal of Tianjin University(Science and Technology),1997,30(4):495-499. |
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| Authors: | Hou Chaosheng Li Zhongxian |
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| Institution: | Dept. of Civil Eng. |
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| Abstract: | In the paper, with power functions taken as trial functions, the nonlinear stability of a shallow spherical thin shell of sandwich construction under axisymmetrically distributed load has been studied by the Method of Point Collocation. The shell of sandwich construction is assumed to be a Reissner Model . As the shell degenerates into a circular plate, under uniformly distributed load the results obtained by MPC are the same as those obtained by the Power Series Method . In the case of the same accuracy, the number of the term taken by MPC is only one thirteenth of that taken by PSM. The total amount of calculations of MPC is much less than that of PSM. |
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| Keywords: | spherical shell of sandwich construction nonlinear stability method of point collocation |
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