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。

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 ·····