| 基于均匀化理论的多孔板弯曲问题新解 |
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| 引用本文： | 刘书田,程耿东,顾元宪,张金海,闫颂.基于均匀化理论的多孔板弯曲问题新解[J].固体力学学报,1999,20(3):195-200. |
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| 作者姓名： | 刘书田 程耿东 顾元宪 张金海 闫颂 |
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| 作者单位： | 1. 大连理工大学工程力学研究所,工业装备结构分析,国家重点实验室,大连,116024
2. 航空工业总公司二院二十三研究所,北京,100854 |
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| 摘 要： | 由于订型分布孔的存在，通常的有限元法不能有效地分析多孔板的弯曲问题。该文基于均匀化理论建立了该类问题的新解法。对含密集型分布的阶梯型圆孔板的分析结果，说明了该文方法是有效的。
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| 关 键 词： | 多孔板 弯曲分析 均匀化方法 |
HOMOGENIZATION-BASED METHOD FOR BENDING ANALYSIS OF PERFORATED PLATE |
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| Liu Shutian,Cheng Gengdong,Gu Yuanxian,Zhang Jinhai,Yan Song.HOMOGENIZATION-BASED METHOD FOR BENDING ANALYSIS OF PERFORATED PLATE[J].Acta Mechnica Solida Sinica,1999,20(3):195-200. |
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| Authors: | Liu Shutian Cheng Gengdong Gu Yuanxian Zhang Jinhai Yan Song |
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| Abstract: | Due to the existence of distributed holes, it is difficult to solve the bending problem of perforated plates by conventional finite element method. A homogenization-based method for this problem is presented. This method can obtain the details of stress distribution in the neighborhood of holes. As an example, the static and dynamic bending analysis of a circular perforated plate with distributed step-wise cylindrical holes is made. The deflection and frequency obtained by present method are in good agreement with experimental data, which implies that the method is effective. |
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| Keywords: | perforated plate bending analysis homogenization method |
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