精密坐标镗床立柱结构动态特性优化分析与设计

Optimization analysis and design of dynamic characteristics for column structure of precision jig boring machine tools

  • 摘要: 立柱作为精密坐标镗床的核心承载部件,其设计对整机动态性能至关重要。为提升机床动态特性,文章提出了一种基于斜立柱结构优化的动态性能增强方法。首先利用有限元法(finite element method, FEM)构建了机床整机动力学模型,分析低阶模态振型规律,阐明了增强机床动态特性的设计原理。仿真结果表明,斜立柱结构相比传统等截面立柱,可提高机床低阶模态的固有频率。为进一步优化斜立柱结构的关键尺寸,提出了一种斜立柱设计参数两级响应面优化策略,揭示了斜立柱几何尺寸与一阶固有频率的灵敏度关系,并确定了关键尺寸的最优范围。通过构建斜立柱几何参数与一阶固有频率的二次回归模型,最终确定了最优设计尺寸。优化结果表明,优化后的斜立柱质量减轻9.4%,一阶固有频率提高5.5%,二阶固有频率提高20.4%,模态分析验证了该优化方法的有效性。该方法不仅有效提升了机床低阶固有频率,还实现了轻量化设计,具有重要的工程应用价值。

     

    Abstract: The column serves as a critical load-bearing component in precision jig boring machine tools, significantly influencing the dynamic performance of the entire machine. To enhance the dynamic characteristics of the machine tool, an optimization-based design method for a slanted column structure was proposed. Initially, a whole-machine dynamic model of the machine tool was established through the finite element method (FEM). Analysis of the low-order mode shapes was then conducted to identify fundamental design principles for improving structural dynamic performance. Simulation results show that, compared to a conventional constant cross-section column, the slanted column structure leads to an increase in the natural frequencies of the machine's low-order modes. To further optimize the key dimensions of the slanted column structure, a two-stage response surface optimization strategy for the design parameters of the slanted column was proposed. This strategy was employed to identify the sensitivity relationship between the column's geometric dimensions and the first-order natural frequency, and determine the optimal range for the key dimensions. The optimal design dimensions were finally determined by constructing a quadratic regression model between the column's geometric parameters and the first-order natural frequency. The optimization results demonstrate that the mass of the optimized slanted column is reduced by 9.4%, while the first-order and second-order natural frequency increases by 5.5%, and 20.4%, respectively. Modal analysis validated the effectiveness of the proposed optimization method. This approach not only enhances the low-order natural frequencies of the machine tool but also achieves a lightweight design, demonstrating significant engineering application value.

     

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