基于重复子结构的缝合式夹芯板动态特性计算

Vibration performance analyzing of stitched sandwich panel based on repetitive substructure

  • 摘要: 根据复合材料具有可重复单胞的特征,提出一种基于重复子结构的缝合式夹芯板动力学建模方法。利用复合材料精细化单胞有限元模型构造初始子结构和残余结构,通过空间位置关系映射得到重复子结构,将所有子结构组装到残余结构上,实现复合材料重复子结构动力学建模及分析。以缝合式夹芯板为例,对其进行重复子结构建模及动态特性分析,并与精细化实体有限元模型进行对比,验证方法的计算精度和效率。研究了初始子结构外部节点选取、残余结构位置选取、初始子结构尺寸选取对重复子结构建模及分析结果的影响。结果表明:针对具有重复性单胞的缝合式夹芯板结构,利用重复子结构进行动力学建模,残余结构的选取具有不唯一性,且初始子结构外部节点数量越多,重复映射过程越少,计算精度和计算效率越高;当初始子结构外部节点选取比例为50%时,相比较复合材料结构的精细化建模方法,可以提高结构动态分析效率。

     

    Abstract: According to the repeatability of the composite cell structure, a dynamic modeling method for stitched sandwich panel based on the repetitive substructure was proposed. The primary substructure and the residual structure were constructed by using the precise finite element model of the composite unit cell. The repetitive substructure was obtained by mapping the spatial position relation. All the substructures were assembled on the residual structure to realize the dynamic modeling and analysis of the repetitive substructure of the composite. Taking the stitched sandwich panel as an example, the repetitive substructure modeling and dynamic characteristic analysis were carried out, and compared with the precise solid finite element model, the accuracy and efficiency of the method were verified. The influence of the primary substructure external nodes selection, the residual structure location distribution and the primary substructure size selection on the repetitive substructure modeling and analysis results was analyzed. The following conclusions are drawn:For the structure of stitched sandwich panel with repetitive unit cell, the dynamic structure modeling method of the repetitive substructure is used, the selection of the residual structure is not unique. And the more of the number of external nodes of the primary substructure, the less of the repeated mapping process, the higher of the calculation accuracy and computational efficiency. The repetitive substructure modeling method of the composite structure can improve the dynamic analysis efficiency of the composite structure when the external node selection ratio of the initial substructure is 50%.

     

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