基于改进Jacobian-Torsor理论的转子组件装配精度控制方法  

Precision control of rotor assembly based on improved Jacobian-Torsor theory

作　　者：丁司懿 郑小虎[1] DING Siyi;ZHENG Xiaohu(School of Mechanical Engineering,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学机械工程学院,上海201620

出　　处：《航空学报》2021年第10期432-446,共15页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(51805079);中央高校基本科研业务费专项资金(19D110322);河南省机械装备智能制造重点实验室开放基金(郑州轻工业大学)(IM201905)。

摘　　要：转子装配是航空发动机制造过程的核心环节,防止同心度超差是转子组件装配需要解决的重要问题。传统方法以千分表人工手动测试为主,依赖制造经验,缺乏系统、定量的结构精度设计理论方法支撑。针对转子的回转特性和多级装配特点,提出了基于改进的雅可比旋量理论的三维偏差建模方法和组合堆叠同心度控制策略,通过引入回转副有效表征了航空发动机转子零件的回转特性,确定了雅可比扩展矩阵和同心度偏差传递函数及其控制方程。结合该方程,对某4级涡轮转子装配进行验证,当各级安装角度分别为3.513rad、5.206rad和0.953rad时,可获得最高同心度0.042mm。结果表明该模型可以有效预测组件整体精度和确定最佳装配方案,具备较强现实指导意义。Rotor assembly is a core process in aero-engine manufacturing.In rotor assembly,preventing out-of-tolerance of concentricity is the primary problem needed to be solved.Traditional methods for the problem are based on manual test with the dial indicator,which depends on experience appraises and lacks a systematic and quantitative structural precision design theory.In this paper,revolving characteristics and multistage assembly characteristics of rotors are discussed.A three dimensional deviation modeling method based on the improved Jacobian-Torsor theory and a concentricity control strategy are proposed.A revolution joint is introduced to represent the revolving characteristics of aero-engine rotors.Then the extended Jacobian matrix is derived and thus a correction of the original J-T model is completed.The concentricity variation propagation function of multistage rotor stacking is further determined,and the control equation for concentricity is derived.Based on the model,a four-stage rotor assembly is verified.The best concentricity is 0.042 mm when the optimal installation angles are 3.513 rad,5.206 rad,and 0.953 rad.The results show that the model can effectively predict the overall precision and determine the optimal assembly plan,and has strong significance in engineering practice.

关 键 词：航空发动机 转子装配 改进的雅可比旋量理论 三维偏差分析 精度控制 

分 类 号：V263[航空宇航科学与技术—航空宇航制造工程] TP605[自动化与计算机技术—控制理论与控制工程]