成形磨齿机床立柱结构的拓扑优化研究

针对用传统设计方法设计的成型磨齿机床立柱在保证设备精度的同时会造成重量过大的问题,运用有限元设计方法建立了立柱的三维有限元模型,并利用ANSYS软件对立柱壳体进行了拓扑分析。由拓扑分析得出的载荷路径与立柱壳体模型相结合,提出了7种不同筋板布局的立柱结构。研究结果表明,与原立柱进行对比,斜角45°筋1型立柱的质量刚度比最优,斜角26.25°筋1型次之,而原立柱的质量刚度比最差;通过模态分析得到的新壳体模型斜角26.25°筋1型立柱的一阶固有频率比原模型提高了12.86%,而斜角45°筋1型立柱的一阶固有频率比原模型提高了9.09%;斜角45°筋1型立柱的质量比原立柱模型减少6.56%,斜角26.25°筋1型立柱的质量比原立柱模型减少了9.83%。

Topology optimization for structure of gear form grinding machine

Aiming at the problem of the large weight for the column of gear grinding machine designed by traditional design method, the three-dimensional model of specific grinding machine was established by means of the finite element method, and the column of the machine was analysised by using the ANSYS software. Through the combination of the load path of topological analysis and the new shell model of the column, 7 kinds of column structures were suggested. The results indicate that the ratio of the mass and stiffness for the column structure with an angle of 45 degrees and 1 type is the best. The ratio of the mass and stiffness for the column structure with a angle of 26.25 degrees and 1 type take second place, whereas, the ratio of the mass and stiffness for the original column structure is the worst. The first-order natural frequency increases by 12.86% for the column structure of angle of 26.25 degrees and 1 type and by 9.09% for the column structure of angle of 45 degrees and 1 type, respectively. The total mass ratio decreased by 9.09% for the column structure of angle of 45 degrees and 1 type and by 9.83% for the column structure of angle of 26.25 degrees and 1 type.