| 基于高阶剪切理论的复合材料格栅夹层板弯曲特性 |
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| 引用本文： | 李华东,周振龙,陈国涛. 基于高阶剪切理论的复合材料格栅夹层板弯曲特性[J]. 复合材料学报, 2019, 36(12): 2745-2755. DOI: 10.13801/j.cnki.fhclxb.20190304.002 |
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| 作者姓名： | 李华东 周振龙 陈国涛 |
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| 作者单位： | 海军工程大学 舰船与海洋学院, 武汉 430033 |
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| 基金项目： | 国家自然科学基金（51609252） |
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| 摘 要： | 基于高阶剪切弯曲理论，对含有软质芯材的复合材料格栅夹层板的弯曲特性进行了理论研究。基于能量法，推导了含有软质芯材的复合材料格栅的等效弹性参数计算式；基于高阶剪切弯曲理论，推导了夹层板的弯曲平衡微分方程，并采用Navier方法，给出了分布载荷作用下四边简支、上下表层为对称正交铺层的夹层板弯曲问题的理论解；用算例对典型格栅夹层板的理论解和有限元仿真解进行了对比，两者误差为7.1%，验证了本文理论方法的正确性；并分析了夹层板跨厚比、格栅厚度、格栅复合材料铺层角度、格栅间距等参量对含有软质芯材的典型复合材料格栅夹层板弯曲挠度的影响规律。
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| 关 键 词： | 复合材料 格栅结构 格栅夹层板 高阶剪切理论 弯曲 |
| 收稿时间： | 2018-11-22 |
Bending characteristic of composite grid sandwich plate based on high-order shear theory |
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| Affiliation: | College of Naval Architecture and Ocean, Naval University of Engineering, Wuhan 430033, China |
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| Abstract: | Based on the high-order shear theory, the theoretical study on the bending characteristic of composite grid sandwich panels with soft core materials was carried out. Based on the energy method, the calculation formula of the equivalent elastic parameters of composite grid with soft core material was derived. Based on the high-order shear bending theory, the bending differential equilibrium equation of the sandwich plate was derived, and the Navier method was used to give the theoretical solution of the bending of sandwich plate under distributed load with symmetrically laid upper and lower layers and four simple-supported sides. In the example, the theoretical solution of the typical grid sandwich plate was compared with the finite element simulation with the error of 7.1%, which verified the correctness of the theoretical method. The influence of the parameters such as span ratio of the sandwich panel, thickness of the grid, angle of the laminate composite layer and grid spacing on the bending deflection of a typical composite grid sandwich panel containing a soft core material was also analyzed. |
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