数控磨齿机故障诊断与可靠性评估

第 1 章 可靠性建模理论 ·····························································.1

1.1 可靠性建模与可靠性评价 ···············································.1

1.1.1 可靠性建模目的和意义 ·········································.1

1.1.2 可靠性评价函数 ··················································.2

1.1.3 可靠性评价指标 ··················································.4

1.2 可靠性分布模型简介 ·····················································.5

1.2.1 韦布尔分布模型 ··················································.5

1.2.2 指数分布模型 ·····················································.7

1.2.3 正态分布模型 ·····················································.9

1.2.4 对数正态分布模型 ···············································10

1.3 可靠性分布模型检验方法 ···············································12

1.3.1 统计假设检验 ·····················································12

1.3.2 拟合优度检验 ·····················································14

1.4 本章小结····································································16

第 2 章 数控磨齿机磨削原理························································17

2.1 磨削加工理论 ······························································17

2.1.1 磨削机理 ···························································17

2.1.2 磨削加工 ···························································17

2.1.3 磨削力计算 ························································19

2.2 成形磨齿机磨削原理 ·····················································20

2.2.1 成形磨齿原理 ·····················································20

2.2.2 成形数控磨齿机结构 ············································21

2.3 摆线轮磨削原理 ···························································22

2.3.1 摆线轮齿面形状 ··················································22

2.3.2 摆线轮啮合方程 ··················································25

2.3.3 摆线轮磨齿机结构 ···············································29

2.3.4 摆线轮磨削机理 ··················································32

2.4 本章小结····································································33

第 3 章 数控磨齿机故障综合分析 ··················································34

3.1 振动信号故障特征提取技术 ············································34

3.1.1 EMD 算法介绍····················································34

3.1.2 实验数据采集 ·····················································37

3.1.3 振动数据的处理与分析 ·········································39

3.2 数控磨齿机故障树分析（FTA） ·······································42

3.2.1 FTA 基本方法 ·····················································42

3.2.2 数控磨齿机故障树的建立 ······································43

3.2.3 数控磨齿机故障树定性分析 ···································45

3.3 基于 FTA-AHP 的数控磨齿机可靠性分析····························48

3.3.1 FTA-AHP···························································48

3.3.2 在数控磨齿机上应用 FTA-AHP ·······························49

3.3.3 故障因素层次总排序分析 ······································53

3.4 本章小结····································································55

第 4 章 基于 RBF 神经网络的数控磨齿机可靠性评估···························56

4.1 RBF 神经网络简介························································56

4.1.1 RBF 神经网络结构介绍·········································56

4.1.2 RBF 神经网络学习算法·········································58

4.2 基于 RBF 神经网络的扩充算法 ········································60

4.2.1 RBF 神经网络扩充算法的设计 ································60

4.2.2 RBF 神经网络可靠性评估流程 ································61

4.3 实例分析····································································63

4.3.1 原始故障间隔时间分布模型 ···································63

4.3.2 RBF 神经网络扩充数据及分析 ································67

4.3.3 数控磨齿机可靠性评估 ·········································71

4.4 本章小结····································································75

第 5 章 基于贝叶斯方法的数控磨齿机可靠性建模分析 ·························76

5.1 可靠性数据的收集 ························································76

5.1.1 可靠性数据分类 ··················································76

5.1.2 可靠性数据收集方法 ············································77

5.1.3 可靠性数据的筛选 ···············································78

5.2 数控磨齿机先验信息 ·····················································79

5.2.1 先验信息预处理 ··················································79

5.2.2 先验信息相容性检验 ············································79

5.3 数控磨齿机先验分布的确定 ·····