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宋玉旺, 杨昌昊, 石晓飞, 席平. 六边形蜂窝夹层板的参数化有限元建模方法[J]. 计算机辅助设计与图形学学报, 2015, 27(1): 175-183.
引用本文: 宋玉旺, 杨昌昊, 石晓飞, 席平. 六边形蜂窝夹层板的参数化有限元建模方法[J]. 计算机辅助设计与图形学学报, 2015, 27(1): 175-183.
Song Yuwang, Yang Changhao, Shi Xiaofei, Xi Ping. Parameterized Finite Element Model of Hexagon Honeycombs[J]. Journal of Computer-Aided Design & Computer Graphics, 2015, 27(1): 175-183.
Citation: Song Yuwang, Yang Changhao, Shi Xiaofei, Xi Ping. Parameterized Finite Element Model of Hexagon Honeycombs[J]. Journal of Computer-Aided Design & Computer Graphics, 2015, 27(1): 175-183.

六边形蜂窝夹层板的参数化有限元建模方法

Parameterized Finite Element Model of Hexagon Honeycombs

  • 摘要: 针对几何建模、边界条件定义和网格划分等需求,提出了一种六边形蜂窝夹层板的参数化有限元建模方法.首先定义节点位置与蜂格几何参数之间的数学公式,通过数学公式严格定义特征平面与节点编号之间的拓扑关系,建立方向一致向外的上、下平面;然后采用映射法将上、下平面分割为相应的特征平面,并生成三边形结构化网格.基于该方法,建立了多功能结构加工样件8个设计方案的六边形蜂窝夹层板的有限元模型.最后通过分析最大应力和最大变形确定4#和8#方案为可行方案.其中8#方案被航天单位采用,实现了多功能结构加工样件的成型,初步证明文中方法的有效性,并为多功能结构的参数优化奠定了基础.

     

    Abstract: A parameterized approach to generating the finite element model of the hexagon honeycomb with node merging is proposed. Firstly, the mathematical formulae are constructed to relate the coordinates of the key points to the geometry parameters of the hexagon honeycomb. To model the honeycomb planes with the same direction, the sequence numbers of the key points are also standardized, by which the topology relationships of the geometry elements in the hexagon honeycomb are defined. Secondly, the top plane and the bottom plane of the hexagon honeycomb are blocked into feature planes to merge nodes with L-side plane and W-side plane. Lastly, through the proposed approach, the finite element models of eight schemes are modeled effectively. The scheme 4 and scheme 8 are feasible ones as the maximum equivalent stress and the maximum deformation are concerned. The scheme 8 is adopted by the spacecraft corporation and the test prototype of multifunctional structure is formed successfully. The proposed approach is effective and suitable for parametric optimization of multifunctional structure.

     

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