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航空发动机多级转子装配过程中的测量误差传播及其灵敏度分析。

Measurements error propagation and its sensitivity analysis in the aero-engine multistage rotor assembling process.

作者信息

Zhang Maowei, Liu Yongmeng, Sun Chuanzhi, Wang Xiaoming, Tan Jiubin

机构信息

Center of Ultra-Precision Optoelectronic Instrument Engineering, Harbin Institute of Technology, Harbin 150080, China.

出版信息

Rev Sci Instrum. 2019 Nov 1;90(11):115003. doi: 10.1063/1.5109199.

Abstract

The purpose of this paper is to research the measurements error propagation principle about the measurement-assembly equipment of aero engine multistage rotor, besides analyze the effect of guide linear motion and turntable rotational motion on the final alignment error. Furthermore, we can improve the measurement and assembly accuracy of the aero engine multistage rotor. In this paper, a novel error analysis method related to measurement-assembly equipment was proposed. First, the topology of the measuring equipment was established based on the multibody system theory, the error propagation path was constructed by using the low order body sorting method. Second, the error transfer model of the linear motion and the rotational motion were established by using the homogeneous coordinate transformation matrix, and the total measurement terminal errors introduced by the equipment were calculated. Finally, through numerical simulation, the magnitude of the measurement terminal offset error was obtained, sensitivity analysis was performed to calculate key error sources. Measurement accuracy not only depended on the accuracy of the sensor but also closely related to the accuracy of the measurement-assembly equipment. Through the simulation verification, when the linearity error is 0.1 μm and the angular error is 0.1″, the final cumulative offset displacement error is about -0.1002 μm to -0.0998 μm with a probability of 97%. Different type errors have different effects on the results. We can give a conclusion that linear guide alignment error and verticality error are the primary error sources, and the angle error of the turntable need to be improved.

摘要

本文旨在研究航空发动机多级转子测量装配设备的测量误差传播原理,同时分析直线运动和转台旋转运动对最终对准误差的影响,进而提高航空发动机多级转子的测量与装配精度。本文提出了一种与测量装配设备相关的新型误差分析方法。首先,基于多体系统理论建立测量设备的拓扑结构,采用低阶体排序方法构建误差传播路径。其次,利用齐次坐标变换矩阵建立直线运动和旋转运动的误差传递模型,并计算设备引入的总测量终端误差。最后,通过数值模拟得到测量终端偏移误差的大小,进行灵敏度分析以计算关键误差源。测量精度不仅取决于传感器的精度,还与测量装配设备的精度密切相关。通过仿真验证,当线性度误差为0.1μm且角度误差为0.1″时,最终累积偏移位移误差在-0.1002μm至-0.0998μm之间的概率为97%。不同类型的误差对结果有不同的影响。我们可以得出结论,直线导轨对准误差和垂直度误差是主要误差源,转台的角度误差有待改进。

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