基于遗传算法的加工中心精度优化分配方法

Optimization allocation method for machining center accuracy based on genetic algorithm

  • 摘要: 为优化几何精度并提升五轴卧式加工中心的正向设计水平,提出一种基于遗传算法的精度分配方法。以某公司生产的精密五轴卧式加工中心为研究对象,首先,分析其结构和误差元素,利用多体系统理论和齐次坐标变换原理建立几何误差模型;其次,在加工空间中不同的位置对误差模型中的37项误差进行灵敏度分析,取单项误差在各位置的最大灵敏度作为全局灵敏度;最后,结合误差模型与灵敏度结果,通过Isight和Matlab软件结合,以总成本最小化和全局灵敏度与误差乘积之和最大化为目标,采用遗传算法进行精度分配。结果表明,优化后的加工中心能在保持原有精度的基础上成本降低5.89%,为五轴加工中心的工艺设计提供了理论依据。

     

    Abstract: To optimize the geometric accuracy and improve the forward design level of the five-axis horizontal machining center, a precision allocation method based on a genetic algorithm is proposed. A precision five-axis horizontal machining center produced by a company is selected as the research object. Firstly, its structure and error elements are analyzed, and the geometric error model is established by using the theory of multi-body system and the principle of homogeneous coordinate transformation. Secondly, the sensitivity of 37 errors in the error model is analyzed at different positions in the machining space, and the maximum sensitivity of a single error at each position is selected as the global sensitivity. Finally, based on the error model and sensitivity calculation results, Isight and Matlab software are combined to minimize the total cost and maximize the sum of the product of global sensitivity and error, and genetic algorithm is used for precision allocation. The results show that the machining center with precision allocation can reduce costs by 5.89% while maintaining the original precision, providing a theoretical basis for the process design of the five-axis machining center.

     

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