## 留言板

 引用本文: 刘航, 杜国君, 冯岩. 构造上正交各向异性半球形凸起凹凸板等效刚度研究[J]. 应用数学和力学, 2020, 41(1): 70-80.
LIU Hang, DU Guojun, FENG Yan. Study on Equivalent Stiffnesses of Orthotropic Hemi-Spherical Convex Plates[J]. Applied Mathematics and Mechanics, 2020, 41(1): 70-80. doi: 10.21656/1000-0887.400181
 Citation: LIU Hang, DU Guojun, FENG Yan. Study on Equivalent Stiffnesses of Orthotropic Hemi-Spherical Convex Plates[J]. Applied Mathematics and Mechanics, 2020, 41(1): 70-80.

• 中图分类号: O34

## Study on Equivalent Stiffnesses of Orthotropic Hemi-Spherical Convex Plates

• 摘要: 根据半球形凹凸板周期性将其划分得到代表性体元结构.首先研究代表性体元的刚度特性，利用变形等效原理、均质化和刚度组合法得到半球形凹凸板的等效刚度.然后将得到的三个主向刚度代入四边简支板Navier解中求解板中心挠度.通过有限元数值模拟解和Navier解进行对比分析，从而验证该文得到的主向刚度的准确性.然后讨论了代表性体元的材料尺寸对所得等效刚度的影响.随着代表性体元边长与凸起半径的比值逐渐增大，所得结果精度越来越高，且等效刚度公式适用于不同厚度的半球形凹凸板.最后给出了较为简洁的工程应用公式，并给出了凸起半径的近似取值范围和工程应用算例.
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##### 出版历程
• 收稿日期:  2019-06-04
• 修回日期:  2019-07-01
• 刊出日期:  2020-01-01

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