| 圆底扁球壳非线性稳定问题的自由参数摄动法解 |
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| 引用本文： | 陈山林,李其中.圆底扁球壳非线性稳定问题的自由参数摄动法解[J].应用数学和力学,2004,25(9):881-888. |
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| 作者姓名： | 陈山林 李其中 |
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| 作者单位： | 重庆大学 土木工程学院,重庆 400045 |
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| 摘 要： | 用自由参数摄动法求解了圆底扁球壳在均布载荷作用下的非线性稳定问题．作为一种改进的正则摄动方法，使研究者可以不确定摄动参数具体意义而直接求得问题的全部特征方程．通过算例研究了扁球壳在失稳过程中变形和应力的变化特点，并与其他研究者的结果进行了比较．
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| 关 键 词： | 圆底扁球壳 自由参数摄动法 非线性稳定 |
| 文章编号： | 1000-0887(2004)09-0881-08 |
| 收稿时间： | 2003-01-16 |
| 修稿时间： | 2003年1月16日 |
Free-Parameter Perturbation-Method Solutions of the Nonlinear Stability of Shallow Spherical Shells |
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| CHEN Shan-lin,LI Qi-zhong.Free-Parameter Perturbation-Method Solutions of the Nonlinear Stability of Shallow Spherical Shells[J].Applied Mathematics and Mechanics,2004,25(9):881-888. |
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| Authors: | CHEN Shan-lin LI Qi-zhong |
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| Institution: | Faculty of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China |
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| Abstract: | The free-parameter perturbation method is applied to solve the problems of nonlinear stability of spherical shallow shells under uniform load. As a modified perturbation method, the free-parameter perturbation method enables researchers to obtain all characteristic relations without choosing the certain perturbation parameter. Some examples were discussed to study the variety regulations of deflections and stress of shells in the process of buckling, and the results were compared with those of other researchers. |
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| Keywords: | spherical shallow shell free-parameter perturbation method nonlinear stability |
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