| 夹层圆板大挠度问题的进一步研究* |
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| 引用本文： | 刘人怀 朱高秋. 夹层圆板大挠度问题的进一步研究*[J]. 应用数学和力学, 1989, 10(12): 1041-1047 |
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| 作者姓名： | 刘人怀 朱高秋 |
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| 作者单位： | 1.上海工业大学; |
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| 基金项目： | 中国科学院科学基金资助的课题 |
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| 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.
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| 关 键 词： | 夹层圆板 大挠度问题 均布载荷 |
| 收稿时间： | 1988-09-21 |
Further Study on Large Deflection of Circular Sandwich Plates |
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| Affiliation: | 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 |
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| 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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