基于小位移旋量的旋翼系统公差建模及分析  

Modeling and Analysis of Rotor System Tolerance Based on Small Displacement Torsor

作　　者：刘壮壮 韩东[1] LIU Zhuangzhuang;HAN Dong(National Key Laboratory of Science and Technology on Rotorcraft Aeromechanics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学直升机旋翼动力学国家级重点实验室,南京210016

出　　处：《航空工程进展》2021年第3期144-152,共9页Advances in Aeronautical Science and Engineering

基　　金：国家自然科学基金(11972181);江苏高校优势学科建设工程资助项目。

摘　　要：直升机的振动问题与加工制造技术紧密相关,降低制造误差可有效减小直升机的振动。为了分析直升机旋翼系统的几何回转精度,基于小位移旋量对零部件装配路径上的关键公差进行建模,通过齐次坐标变换方法对闭环链路上的误差传递进行分析,得到旋翼系统几何回转精度模型;在此基础上,与蒙特卡洛仿真相结合,对旋翼系统的实例模型进行分析。结果表明:旋翼桨叶根部在空间内的变动范围近似呈椭球形变化,在旋转过程中存在复杂的波动情况,桨叶根部在桨盘平面内的径向波动误差约为0.58%,在垂直桨盘平面方向的波动相对较大,约为0.89%。Helicopter vibration is closely related to manufacturing technology.Reducing manufacturing error can ef⁃fectively reduce helicopter vibration.In order to analyze the geometric rotation accuracy of helicopter rotor system,the key tolerance on the assembly path of parts is modeled based on small displacement torsor(SDT),and the er⁃ror transfer on the closed-loop link is analyzed by homogeneous coordinate transformation method,and the geomet⁃ric rotation accuracy model of rotor system is obtained.On this basis,combined with Monte Carlo simulation,an example model of rotor system is analyzed.The results show that the variation range of rotor blade root in space is approximately ellipsoidal,and there are complex fluctuations in the process of rotation.The radial fluctuation error of rotor blade root in the plane of rotor disk is about 0.58%,and the fluctuation in the direction perpendicular to the plane of rotor disk is relatively large,about 0.89%.

关 键 词：小位移旋量 公差建模 公差分析 误差传递 随机模拟 

分 类 号：V275.1[航空宇航科学与技术—飞行器设计] TH115[机械工程—机械设计及理论]