点阵材料抛物面结构的参数化有限元建模方法及赋形分析

Parametric Finite Element Modeling Method and Shape Analysis of Lattice Material Parabolic Structure

针对点阵材料抛物面结构进行有限元分析时的几何建模需求,提出了一种点阵材料抛物面结构的参数化有限元建模方法。首先,利用数学公式表征出抛物面结构在平面投影区域内的点阵材料胞元特征点坐标信息,生成点阵材料的平面几何模型。然后,采用映射法将平面模型映射到标准抛物面,并将抛物面上每一胞元特征点进行有序编号,基于该特征点序号,编译循环程序,根据需求划分网格生成相应的节点和单元。基于该方法,建立了手性六边形点阵材料抛物面结构的有限元模型,进行了初步的胞元几何参数优化,并通过分析该抛物面结构重构赋形时的变形能力和最大应力,初步验证文中方法的有效性,为手性六边形点阵材料抛物面结构的进一步优化分析奠定了基础。

A parametric finite element modeling method for lattice material parabolic structure is proposed for geometric modeling of finite element analysis for lattice material parabolic structure.Firstly,the mathematical formula is used to represent the coordinate information of the lattice material cell of the parabolic structure in the plane projection area,and the planar geometric model of the lattice material is generated.Then,the mapping method is used to map the planar model to the standard paraboloid,and each cell feature point on the paraboloid is numbered sequentially.Based on the feature point number,the loop program is compiled,and the corresponding nodes and units are generated according to the requirements.Based on the method,the finite element model of chiral hexagon lattice material parabolic structure is established,and the preliminary optimization of cell geometry parameters is carried out.By analyzing the parabolic structure and reconstructing the deformability and maximum stress during shaping,the method of the method is preliminarily verified.The effectiveness lays the foundation for further optimization analysis of the chiral hexagon lattice material parabolic structure.