基于小位移旋量的旋翼系统公差建模及分析

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%。

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

In order to analyze the geometric rotation accuracy of the rotor system, a set of rotor system tolerance model was established. Based on the small displacement spin volume, the key tolerances on the component assembly path are modeled, and the error transmission on the closed-loop link is analyzed by the homogeneous coordinate transformation method to obtain the geometric rotation accuracy model of the rotor system. On this basis, combined with Monte Carlo simulation, the example model of the rotor system is analyzed. The results show that the variation range of the root of the rotor blade in space is approximately an ellipsoid, which has complex fluctuations during the rotation. Among them, the radial fluctuation error percentage of the blade root in the plane of the blade is about 0.58%. The fluctuation in the direction perpendicular to the plane of the paddle is relatively large, about 0.89%.