矢量航空发动机测力台架自适应校准方法

吴锋; 李亚杰; 张有; 袁占斌

doi:10.13224/j.cnki.jasp.20230184

矢量航空发动机测力台架自适应校准方法

doi: 10.13224/j.cnki.jasp.20230184

吴锋^{1, 2,},
李亚杰^3,,
张有^2,*, ,,
袁占斌³

1.
西北工业大学动力与能源学院，西安 710072
2.
中国航空发动机集团有限公司四川燃气涡轮研究院高空模拟技术重点实验室，四川江油 621700
3.
西北工业大学数学与统计学院，西安 710072

基金项目: 陕西省自然科学基金（2020JM-153）；稳定支持项目（D5120200752）

详细信息

作者简介:
吴锋（1982-），男，研究员，博士，主要从事发动机高空模拟测试技术。E-mail：wufeng_my@qq.com

通讯作者:
张有（1985-），男，博士生，主要从事高空模拟试验技术研究工作。E-mail：623908967@qq.com

中图分类号: V263.4；TP212.12
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- 文章访问数: 573
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- 被引次数: 0
出版历程
- 收稿日期: 2023-03-27
- 网络出版日期: 2025-06-03

Adaptively calibrating the stand of aviation vector engine

WU Feng^{1, 2
,},
LI Yajie^3
,,
ZHANG You^{2,*
, ,},
YUAN Zhanbin³

1.
School of Power and Energy，Northwestern Polytechnical University，Xi’an 710072，China
2.
Science and Technology on Altitude Simulation Laboratory，Sichuan Gas Turbine Establishment，Aero Engine Corporation of China，Jiangyou Sichuan 621700，China
3.
School of Mathematics and Statistics，Northwestern Polytechnical University，Xi’an 710072，China

摘要

摘要:
为了对矢量航空发动机测力台架进行静态校准，首先对两种专用校准设备的校准力空间进行了分析，并将各项加载的合力分类为纯力、纯力偶、力线矢和力螺旋。然后针对隐式的二次多项式回归模型，分别基于改进的D优化准则和K中心点聚类方法进行了校准力空间的优化选择，得到了优化后的加载表。最后通过对比两种方法得到的加载表的D优化值、方差膨胀因子和加载点水平值，发现前述两种方法自动生成的加载表都能在满足其他指标要求的前提下使得广义方差尽可能小。以上理论和方法可以自适应地推广到其他构型的矢量推力台架校准设备上，为提高矢量推力测力台架的校准精度和效率提供重要理论及技术支持。
- 六分力台架 /
- 校准装置 /
- 校准空间 /
- 加载表 /
- 静态校准
Abstract:
In order to calibrate six-component stands, the calibration spaces of two certain calibrating equipment were analyzed and all possible calibration points were classified as force, couple, line vector and wrench firstly. Then, based on implicit second order polynomial, these spaces were optimized by improved D-optimal rule and K-medoids clustering method to form loading schedules. In the end, by comparing the D-opt values, variance inflationfactor （VIF） and leverage values, it was found that all automatically generated loading schedules can minimize the generalized variance of the coefficients under the premise of satisfying the requirement of other indexes. Above theory analysis and method can be applied into other type of calibrating equipment adaptively to improve the calibration precision and efficiency simultaneously.
- six-component stand /
- calibrating equipment /
- calibration space /
- load schedule /
- static calibration

HTML

图 1 砝码式校准设备

Figure 1. Calibration device with weights

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图 2 台架1校准力空间

Figure 2. Calibration space of stand 1

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图 3 CE-22平台上校准设备

Figure 3. Calibration equipment on CE-22 stand

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图 4 台架2校准力空间

Figure 4. Calibration space of stand 2

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图 5 D优化值随$ n $的下降情况

Figure 5. Decline of D-opt value with n

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图 6 基于D优化的台架1加载空间

Figure 6. Calibration space of stand 1 based on D-opt

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图 7 基于K中心聚类的台架1加载空间

Figure 7. Calibration space of stand 1 based on K-Medoids

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图 8 基于D优化的台架2加载空间

Figure 8. Calibration space of stand 2 based on D-opt

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图 9 基于K中心聚类的台架2加载空间

Figure 9. Calibration space of stand 2 based on K-Medoids

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图 10 改进D优化的台架1加载表水平值

Figure 10. Leverage of stand 1 based on D-opt

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图 11 基于K中心聚类的台架1加载表水平值

Figure 11. Leverage of stand 1 based on K-Medoids

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图 12 改进D优化的台架2加载表水平值

Figure 12. Lverage of stand 2 based on D-opt

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图 13 基于K中心聚类的台架2加载表水平值

Figure 13. Leverage of stand 2 based on K-Medoids

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表 1 两种校准空间中加载力数目及组成

Table 1. Number and composition of loading forces in two calibration spaces

项数	台架1		台架2
项数	数量	组成	数量	组成
一项	6	（0, 0, 6, 0）	16	（0, 0, 16, 0）
二项	15	（2, 0, 3, 10）	112	（4, 16, 28, 64）
三项	20	（0, 0, 5, 15）	448	（0, 0, 96, 352）
四项	15	（1, 0, 1, 13）	1120	（4, 56, 50, 1008）
五项	6	（0, 0, 0, 6）	1792	（0, 0, 96, 1696）
六项	1	（0, 0, 0, 1）	1792	（8, 72, 76, 1636）
七项			1024	（0, 0, 96, 928）
八项			256	（8, 24, 32, 192）
总计	63	（3, 0, 15, 45）	6560	（24, 168, 490, 5876）

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表 2 台架1两种优化方法的比较

Table 2. Comparison of two optimization methods for stand 1

方法	加载点数	D优化值/10⁻⁹	VIF
改进D优化准则	84	1.28	1070
K中心聚类	84	6.39	725

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表 3 台架2两种优化方法的比较

Table 3. Comparison of two optimization methods for stand 2

方法	加载点数	D优化值	VIF
改进D优化准则	84	1.24×10⁻¹⁹	2.49
K中心聚类	84	1.46×10⁻¹⁸	2.87

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