基于多色集合的数控机床故障诊断模型构建与推理方法

摘要

数控机床故障具有层次性和相关性等复杂特点，构建形式化的数控机床故障诊断模型并推理出故障原因，是进行故障诊断的重要过程。本文基于多色集合理论，提出数控机床故障诊断形式化结构模型的构建与推理方法。在阐述多色集合基本概念的基础上，构建了基于多色集合的数控机床故障诊断层次结构模型；利用多色集合的元素、个人颜色、统一颜色以及布尔矩阵，从横向和纵向两个方向对该模型进行了形式化描述；给出了数据机床故障诊断模型的推理算法流程，实现了自顶向下的自动推理。最后以刀架系统故障诊断建模与推理过程为例，验证了所提理论和方法的正确性和有效性。%The faults of CNC machine tools have the complex characteristics of hierarchy and cor-relation.It’s an important process of fault diagnosis of CNC machine tools to establish and rea-son a formal structure model of fault diagnosis.Based on polychromatic sets theory,a formal modeling and reasoning method of fault diagnosis for CNC machine tools was proposed.The basic concepts of polychromatic sets (PS)were introduced and a PS-based hierarchical structure model of fault diagnosis for CNC machine tools was established.On the basis of the element,individual pigmentation and unified pigmentation,the structure model of fault diagnosis for CNC machine tools is described formally from horizontal and vertical direction.The reasoning algorithm of fault diagnosis model for CNC machine tools was proposed,and the top-down of fault diagnosis model was reasoned automatically.Finally,the fault model of tool carrier system is used as an example to illustrate the correctness and feasibility of the proposed theory and method.