数控磨齿机故障诊断与可靠性评估

　　本书围绕数控磨齿机可靠性技术中的一系列问题，在可靠性建模、可靠性评估、故障分析及可靠性风险评价等方面进行了研究，以达到提高国产数控磨齿机的可靠性水平的目的。本书首先确定了可靠性评价特征量及这些特征量之间的相互关系，为可靠性评估方法的研究奠定基础；其次对小样本可靠性评估方法进行了研究，建立了基于 RBF 神经网络的可靠性评估流程，同时对数控成形磨齿机故障和可靠性风险进行了综合分析，为提升机床装备可靠性奠定基础。 本书适合企业技术装备人员阅读，也可作为高等学校机械制造、智能制造相关专业在校本科生、研究生的教学参考用书。

　　王会良，副教授，硕士生导师，工学博士，中国机械工程学会会员，毕业于西北工业大学机械设计及理论专业。主要研究领域：齿轮数字化设计与智能制造技术、机器人控制技术、装备可靠性工程等。授权发明专利4项，出版专著3部，发表论文30余篇。

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 ·····