针对点阵材料结构设计困难的问题,建立了由长方体空间衍生的胞元结构数学模型,并构建了胞元结构和试件的参数化模型及力学性能研究系统。对5种典型胞元构成的试件通过改变胞元尺寸大小及数量或支柱截面半径,使其具有相同几何形状、外形尺寸以及质量;采用有限元法分析试件分别受到拉伸/压缩、弯曲、扭转载荷及模态的力学性能。通过研究得到胞元结构试件力学性能的数据,提出在各种载荷下点阵材料的设计方法,并通过实例验证该方法的正确性及可靠性。
To address the difficulty of designing lattice material structures, this paper established cellular structure mathematical model derived from the cuboid space,and built the unit cell and system on specimen's parametric modeling and its mechanical properties. The FEA method was introduced to analyze the mechanical properties of these five typical unit cells when stressed, hended,twisted or modal with the same shape,size,mass and loading force by changing their cellular sizes and quantity or pillar section. The findings of the comparative study data of the mechanics performance obtained for various unit cells provide the support for the lattice material design under disparate loading conditions. The way is demonstrated to be correctness and reliability with the results.