VSV调节机构运动精度可靠度计算及误差分析

杨奕凤; 王艺; 刘傲宇; 李佳; 谢里阳

doi:10.13700/j.bh.1001-5965.2023.0410

VSV调节机构运动精度可靠度计算及误差分析

doi: 10.13700/j.bh.1001-5965.2023.0410

杨奕凤^{1, 2},
王艺^{3, 4, ,},
刘傲宇^{1, 2},
李佳¹,
谢里阳^{1, 2}

1.
东北大学机械工程与自动化学院，沈阳 110819
2.
东北大学航空动力装备振动及控制教育部重点实验室，沈阳 110819
3.
中国航发沈阳发动机研究所，沈阳 110015
4.
北京航空航天大学航空发动机研究院，北京 102206

基金项目:

国家科技重大专项(J2019-Ⅳ-0002-0069)

详细信息

通讯作者:
E-mail：diyuanyinian@163.com

中图分类号: V233.95；TB114
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- 文章访问数: 188
- HTML全文浏览量: 42
- PDF下载量: 9
- 被引次数: 0
出版历程
- 收稿日期: 2023-06-24
- 录用日期: 2023-08-29
- 网络出版日期: 2023-09-06
- 整期出版日期: 2025-06-30

Calculation and error analysis of kinematic accuracy reliability of VSV adjustment mechanism

YANG Yifeng^{1, 2},
WANG Yi^{3, 4
, ,},
LIU Aoyu^{1, 2},
LI Jia¹,
XIE Liyang^{1, 2}

1.
School of Mechanical Engineering and Automation，Northeastern University，Shenyang 110819，China
2.
Key Laboratory of Vibration and Control of Aero-Propulsion Systems of Ministry of Education，Northeastern University，Shenyang 110819，China
3.
AECC Shenyang Engine Research Institute，Shenyang 110015，China
4.
Research Institute of Aero-Engine，Beihang University，Beijing 102206，China

Funds:

National Science and Technology Major Project (J2019-Ⅳ-0002-0069)

More Information

Corresponding author: E-mail：diyuanyinian@163.com

摘要

摘要:
以某航空发动机可调静子叶片(VSV)调节机构为研究对象，建立了含运动副间隙的运动学模型。考虑到驱动误差、尺寸误差和装配间隙等因素的随机性，建立了考虑各静子叶片运动精度失效相关的VSV调节机构运动精度可靠性模型。引入BP神经网络(BPNN)代理模型，采用Monte Carlo方法计算了机构的可靠度，给出了可靠度随静子叶片数量和失效阈值的变化规律。通过与单元失效独立假设的系统模型和完全相关系统模型进行对比，验证了考虑失效相关性的机构运动精度可靠性模型的合理性。提出了一种估算代理模型误差造成的复杂系统可靠度误差的方法，并证明了该VSV调节机构的可靠度计算结果是准确可信的。
- 可调静子叶片调节机构 /
- 失效相关性 /
- BP神经网络 /
- 可靠度 /
- 误差分析
Abstract:
A kinematic model considering joint clearance is developed for the variable stator vane (VSV) adjustment mechanism of an aero-engine. A reliability model of the mechanism’s kinematic accuracy is constructed considering the failure correlation among stator vanes, as well as the stochastic nature of driving errors, dimensional tolerances, and assembly clearances. Based on the BP neural network (BPNN) surrogate model, the mechanism’s reliability is evaluated through Monte Carlo simulation. The effects of the number of stator vanes and the failure threshold on the system’s reliability are investigated. Compared with the system model of the unit failure independent assumption and the complete correlation, the mechanism system kinematic accuracy reliability model considering failure correlation is more reasonable. Lastly, a method for estimating the complex system’s reliability error caused by surrogate model approximation is proposed, and the accuracy and credibility of the VSV adjustment mechanism’s reliability assessment are confirmed.
- variable stator vane adjustment mechanism /
- failure correlation /
- BP neural network /
- reliability /
- error analysis

HTML全文

图 1 VSV调节机构

Figure 1. The variable stator vane adjustment mechanism

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图 2 VSV调节机构运动简图

Figure 2. The kinematic sketch of VSV adjustment mechanism

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图 3 有效长度模型示意图

Figure 3. Schematic diagram of the effective link model

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图 4 各级静子叶片转角随作动筒位移的变化

Figure 4. The variation of stator vane rotation angles at each stage with actuator displacement

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图 5 BP神经网络的示意图

Figure 5. Schematic depiction of an BPNN

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图 6 各级静子叶片最大转角误差随作动筒位移的变化

Figure 6. The variation of the maximum rotation angle error of stator vanes at each stage with actuator displacement

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图 7 BP神经网络代理模型训练结果

Figure 7. The training results of the BPNN surrogale model

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图 8 基于BP神经网络的VSV调节机构可靠度计算流程

Figure 8. Reliability calculation process of VSV adjustment mechanism based on BPNN

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图 9 VSV调节机构转角误差频率分布直方图

Figure 9. The frequency distribution histogram of rotation angle error of VSV adjustment mechanism

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图 10 某个静子叶片转角误差频率分布直方图

Figure 10. The frequency distribution histogram of a certain stator vane rotation angle error

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图 11 系统可靠度与静子叶片数量之间的关系

Figure 11. The relationship between system reliability and the number of stator vanes

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图 12 系统可靠度与失效判据之间的关系

Figure 12. The relationship between system reliability and failure threshold

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图 13 理论模型响应和代理模型响应的关系

Figure 13. Relationship between theoretical and surrogate model response

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图 14 可靠度计算误差

Figure 14. Calculation errors of reliability

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图 15 可靠度误差估算示意图

Figure 15. Diagram of error estimation of reliability

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图 16 全局与局部输出响应误差区间对比

Figure 16. Comparison of global and local output response error interval

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图 17 可靠度计算误差分析流程

Figure 17. Reliability calculation error analysis process

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表 1 主要影响因素的分布

Table 1. Distribution of main influencing factors

影响因素	均值/mm	方差/mm²	下限/mm	上限/mm
驱动误差	0	0.150²	−0.45	0.45
曲柄尺寸误差	0	0.020²	−0.06	0.06
联动环尺寸误差	0	0.033²	−0.1	0.1
外摇臂尺寸误差	0	0.023²	−0.07	0.07
曲柄x方向定位误差	0	0.333²	−1	1
摇臂尺寸误差	0	0.050²	−0.15	0.15
摇臂-联动环运动副间隙	0.09	0.010²	0.06	0.12

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表 2 不同代理模型精度下的可靠度误差

Table 2. Reliability error under different accuracy of the surrogate model

训练次数	δ_max-total	n_error	ε_sample/%	ε/%
112	1×10⁻³	685	0.14	0.12
366	5×10⁻⁴	284	0.06	0.04
892	1×10⁻⁴	90	0.02	0.01
3585	5×10⁻⁵	53	0.01	0.01
8936	1×10⁻⁵	23	0.00	0.00
18626	5×10⁻⁶	7	0.00	0.00

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表 3 不同失效阈值下的可靠度误差

Table 3. Reliability error under different failure threshold

Δ₀/(°)	R/%	n_error	ε_sample/%	ε/%
0.75	54.61	292	0.06	0.05
0.80	64.76	203	0.04	0.04
0.85	73.84	161	0.03	0.03
0.90	81.55	103	0.02	0.02
0.95	87.71	60	0.01	0.01
1.00	92.25	23	0.00	0.00
1.05	95.47	11	0.00	0.00
1.10	97.58	0	0.00	0.00

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