精密立式坐标镗床T形床身拓扑优化

Topology optimization of T-shaped bed of precision vertical jig boring machine

  • 摘要: 精密立式坐标镗床对加工精度的要求尤为苛刻,而现有的T形床身结构在动态响应和承载能力方面存在不足,难以满足精密加工的高标准要求。为此,提出了一种考虑动态特性的T形床身多目标优化设计方法。首先,采用有限元方法对现有床身进行静动态分析,得到床身导轨的最大变形值和低阶固有频率。其次,以减轻床身质量、增加导轨刚度和低阶固有频率为目标构建多目标优化模型,开展拓扑优化。最后,根据优化后的拓扑云图对床身筋板结构进行重构,并验证优化后床身的力学性能。结果表明,优化后的床身导轨在Z向的最大变形减小至3.08 μm,减小了35.0%;床身总质量减至9 181 kg,减轻了5.1%;前3阶固有频率分别提高了19.1%、15.3%和13.6%,优化后的床身力学性能得到明显改善,并增强了其动态特性。为精密立式坐标镗床的结构设计提供了新的思路和方法,并为其他高精度机床床身优化提供了重要参考。

     

    Abstract: Precision vertical jig boring machine is particularly demanding for machining accuracy, and the existing T-shaped bed structure has shortcomings in dynamic response and load-bearing capacity, which is difficult to meet the high standard requirements of precision machining. Therefore, a multi-objective optimization design method for the T-shaped bed considering dynamic characteristics is proposed. Firstly, finite element analysis is employed to perform static and dynamic analysis of the existing bed, obtaining the maximum deformation and the low-order natural frequencies of the bed. Secondly, a multi-objective optimization model was constructed to reduce the weight of the bed, increasing the stiffness of the guide rails, and enhancing lower-order natural frequencies. Topology optimization was then carried out. Finally, the structure of the bed was reconstructed according to the optimized topological cloud image, and the mechanical properties of the optimized bed were verified. The results show that the maximum deformation of the bed guideway in the Z-direction is reduced to 3.08 μm, a 35.0% reduction; the total mass of the bed is reduced to 9 181 kg, a 5.1% decrease, and the first three natural frequencies increase by 19.1%, 15.3%, and 13.6%, respectively. The optimized bed structure exhibits a significant improvement in mechanical performance, enhancing both its dynamic characteristics. This study provides new ideas and methods for the structural design of vertical jig boring machine and offers valuable references for the optimization of beds in other high-precision machine tools.

     

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