滑阀副零位内泄漏量分布模型与参数灵敏度分析

doi:10.7527/S1000-6893.2022.27004

Abstract

Abstract:

Aiming at the uncertainty of internal leakage for spool valve couple at zero position effected by the size parameters perturbation， a mathematical model of internal leakage at zero position considering parameter perturbation is established. Then， the distribution characteristics of internal leakage at zero position under the perturbation of size parameters are obtained. Furthermore， a Kriging surrogate model of the mapping relationship between process parameters and distribution characteristic parameters of internal leakage at zero position is established. Based on the Kriging surrogate model， the global sensitivity analysis of distribution characteristic of internal leakage at zero position to process parameters is carried out by Sobol method， which can provide a theoretical support for reducing internal leakage and improving consistency. The results show that the internal leakage at zero position under the size parameters perturbation obeys normal distribution law. Influence of the interaction among process parameters on the distribution characteristics can be ignored. Compared with the axial size process parameters， distribution characteristics are more sensitive to the variation of radial size process parameters and throttling edge corner radius process parameters. Minimum radial clearance of spool valve couple has the greatest influence on the average value of internal leakage at zero position， while the maximum corner radius of throttle edge of spool has the greatest influence on the consistency of internal leakage at zero position. Experimental values of the internal leakage at zero position of spool valve couple present a certain fluctuation， which is consistent with the overall prediction trend of the theoretical model.

Key words: spool valve couple, leakage at zero position, distribution model, sensitivity analysis, process parameters

CLC Number:

TH138

Zhichuang CHEN, Shenghong GE, Zhuolei ZHANG, Yuchuan ZHU. Internal leakage distribution model and parameter sensitivity analysis of spool valve couple at zero position[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(6): 427004-427004.

Figures/Tables 17

Fig. 1

Fig. 2

Fig. 3

Fig.4

Fig.5

Table 1

Normal distribution characteristic parameters of size parameter perturbation of sleeve and spool

摄动量	均值μ	标准差σ
r_sl_ij	r_sl/2	r_sl/（6C_p）
r_sp_i	r_sp/2	r_sp/（6C_p）
δ_i	（δ_r0+δ_r1）/2	（δ_r1－δ_r0）/（6C_p）
Δ_sl1_j	0	T_sl/（6C_p）
Δ_sl2_j	0	T_sl/（6C_p）
Δ_L	0	T_sl/（6C_p）
Δ_L－Δ_sl3_j	0	T_sl/（6C_p）
Δ_L+Δ_sl4_j	0	T_sl/（6C_p）
Δ_sp1	0	T_sp4/（6C_p）
Δ_sp1+Δ_sp2	$Δ B s p + + Δ B s p - / 2$	$Δ B s p + - Δ B s p - / 6 C p$
－（Δ_sp2+Δ_sp3）	$Δ A s p + + Δ A s p - / 2$	$Δ A s p + - Δ A s p - / 6 C p$
Δ_sp3+Δ_sp4	$Δ C s p + + Δ C s p - / 2$	$Δ C s p + - Δ C s p - / 6 C p$

Table 1

Table 2

Processing parameters of spool valve couple

工艺参数	数值
阀套节流边圆角半径最大值r_sl/μm	1
阀芯节流边圆角半径最大值r_sp/μm	1
阀套设计尺寸 $D s l 0$ 、 $E s l 0$ 、 $F s l 0$ 、 $G s l 0$ 、 $L s l 0$ 公差T_sl/μm	40
阀套周向相邻节流边轴向距离最大值T_e/μm	5
阀芯设计尺寸 $A s p 0$ 公差T_sp1/μm	4
阀芯设计尺寸 $B s p 0$ 公差T_sp2/μm	2
阀芯设计尺寸 $C s p 0$ 公差T_sp3/μm	2
阀芯设计尺寸 $H s p 0$ 公差T_sp4/μm	40
滑阀副径向间隙最小值δ_r0/μm	1
径向间隙变动范围δ_r1－δ_r0/μm	2

Table 2

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Table 3

Value range of input variables in Kriging surrogate model

变量	含义	变化范围
X₁	阀套节流边圆角半径最大值r_sl	0.5~5 μm
X₂	阀芯节流边圆角半径最大值r_sp	0.5~5 μm
X₃	阀套周向相邻节流边轴向距离最大值T_e	3~6 μm
X₄	阀芯设计尺寸 $A s p 0$ 的公差T_sp1	0.5~5 μm
X₅	阀芯设计尺寸 $B s p 0$ 的公差T_sp2	0.5~5 μm
X₆	阀芯设计尺寸 $C s p 0$ 的公差T_sp3	0.5~5 μm
X₇	滑阀副径向间隙最小值δ_r0	0.5~3 μm
X₈	径向间隙变动范围δ_r1－δ_r0	0.5~3 μm

Table 3

Fig.10

Fig. 11

Fig. 12

Table 4

Distribution characteristic parameters of

类型	均值μ_l/（L·min^-1）	方差 $σ l 2$ /（L·min^-1）²
理论值	0.110 6	2.36×10^-4
试验值	0.065 3	8.15×10^-4

Table 4

Fig. 13

References 27

1	王彬，叶志锋. 航空发动机液压控制系统［M］. 北京：科学出版社， 2019： 4-12.
	WANG B， YE Z F. Hydraulic control system of aeroengines［M］. Beijing： Science Press， 2019： 4-12 （in Chinese）.
2	来晨阳，郭迎清，于华锋. 基于RF-SVR的燃油计量装置性能衰退检测和剩余寿命估计方法［J］. 航空动力学报， 2019， 34（7）：1624-1632.
	LAI C Y， GUO Y Q， YU H F. Fuel metering unit performance degradation detection and remaining useful life estimation method based on RF-SVR［J］. Journal of Aerospace Power， 2019， 34（7）： 1624-1632 （in Chinese）.
3	WANG B， ZHAO H， YU L， et al. Study of temperature effect on servovalve-controlled fuel metering unit［J］. Journal of Engineering for Gas Turbines and Power： Transactions of the ASME， 2015， 137（6）： 1-7.
4	MASUDA S， SHIMIZU F， FUCHIWAKI M， et al. Modelling and reducing fuel flow pulsation of a fuel-metering system during pump mode switching in a turbofan engine［J］. IOP Conference Series Earth and Environmental Science， 2019， 240（5）： 1-11.
5	陈元章. 滑阀副配合对伺服阀性能的影响研究［J］. 机床与液压， 2021， 49（5）：107-111.
	CHEN Y Z. Research on the effect of spool valve pairs fit on servo valve performance［J］. Machine Tool & Hydraulics， 2021， 49（5）：107-111 （in Chinese）.
6	李跃松，朱玉川. 电液伺服阀建模与Simulink仿真［M］. 北京：机械工业出版社， 2020： 57-58.
	LI Y S， ZHU Y C. Modeling and Simulink simulation of electro-hydraulic servo valve［M］. Beijing： China Machine Press， 2020： 57-58 （in Chinese）.
7	宋飞，陈佳，彭利坤，等. 液压滑阀内泄漏试验研究［J］. 流体机械， 2021， 49（7）：1-6， 28.
	SONG F， CHEN J， PENG L K， et al. Experimental research on the internal leakage of hydraulic slide valve［J］. Fluid Machinery， 2021， 49（7）：1-6， 28 （in Chinese）.
8	陈大为. 液压滑阀卡紧、泄漏仿真和试验研究［D］. 济南：山东大学， 2015： 13-15.
	CHEN D W. Simulation and experimental investigation of clamping and leakage in hydraulic slide valves［D］. Ji’⁃nan： Shandong University， 2015： 13-15 （in Chinese）.
9	荣刚. 液压滑阀内部结构变形与流量泄漏研究［D］. 杭州：浙江大学， 2015： 12-23 （in Chinese）.
	RONG G. Research on structural deformation and leakage loss in hydraulic spool valve［D］. Hangzhou： Zhejiang University， 2015： 12-23 （in Chinese）.
10	张丽. 阀口棱边几何误差对滑阀性能影响的仿真研究［D］. 哈尔滨：哈尔滨工业大学， 2007： 14-21.
	ZHANG L. Simulation research on effect of edge geometric error of valve orifices to spool valve［D］. Harbin： Harbin Institute of Technology， 2007： 14-21 （in Chinese）.
11	薛晓虎. 液压系统缝隙内流体泄漏特性的分析［J］. 机械工程学报， 2004， 40（6）：75-80.
	XUE X H. Analysis on the fluid-leakage characteristic in gaps of the hydraulic system［J］. Journal of Mechanical Engineering， 2004， 40（6）：75-80 （in Chinese）.
12	何毓明，彭利坤，宋飞. 基于AMESim的液压滑阀中位内泄漏仿真研究［J］. 液压与气动， 2018（5）：74-80.
	HE Y M， PENG L K， SONG F. Simulation based on AMESim for internal leakage of hydraulic slide valve［J］. Chinese Hydraulics & Pneumatics， 2018（5）：74-80 （in Chinese）.
13	郑长松，娄伟鹏，范家辉，等. 液压滑阀配合间隙含颗粒油液的泄漏特性研究［J］. 液压与气动， 2017（9）： 42-47.
	ZHENG C S， LOU W P， FAN J H， et al. Flow characteristics of oil with polluted particles in fit clearance of hydraulic spool valve［J］. Chinese Hydraulics & Pneumatics， 2017（9）：42-47 （in Chinese）.
14	赵海峰，侯友夫. 微元体分析法在偏心环状缝隙流动公式推导中的应用［J］. 液压与气动， 2005（11）：49-52.
	ZHAO H F， HOU Y F. The application of micro cell analysis on fomula deduction of the eccentric ring gap flow［J］. Chinese Hydraulics & Pneumatics， 2005（11）：49-52 （in Chinese）.
15	刘冀民，孙松林，刘启定，等. 三位液压换向滑阀对中性对其内泄漏量的影响［J］. 农业机械学报， 2001， 32（5）：72-74.
	LIU J M， SUN S L， LIU Q D， et al. Effect of alignability of three-position reversal spool valve on internal leakage flowrate［J］. Transactions of the Chinese Society for Agricultural Machinery， 2001， 32（5）：72-74 （in Chinese）.
16	刘杰，彭利坤，宋飞. 基于声发射技术的液压滑阀内泄漏特征提取［J］. 组合机床与自动化加工技术， 2021（6）：94-98.
	LIU J， PENG L K， SONG F. Internal leakage characteristics extraction of hydraulic slide valves based on acoustic emission technology［J］. Modular Machine Tool & Automatic Manufacturing Technique， 2021（6）：94-98 （in Chinese）.
17	MILAN K M， NIRMAL K M， RANA S. Study of leakage flow through a spool valve under blocked-actuator port condition-Simulation and experiment［J］. Proceedings of the Institution of Mechanical Engineers Part C： Journal of Mechanical Engineering Science， 2014， 228（8）： 1405-1417.
18	FEKIA M， RICHARDBC E. Including leakage flow in the servovalve static model［J］. International Journal of Modelling and Simulation， 2005， 25（1）： 50-56.
19	王春行. 液压控制系统［M］. 北京：机械工业出版社， 2004： 17-18.
	WANG C X. Hydraulic control system［M］. Beijing： China Machine Press， 2004： 17-18 （in Chinese）.
20	MERRITT H E. 液压控制系统［M］. 陈燕庆，译. 北京：科学出版社， 1976： 101-102.
	MERRITT H E. Hydraulic control system［M］. CHEN Y Q， translated. Beijing： Science Press， 1976： 101-102 （in Chinese）.
21	ZHANG Y， WANG S P， SHI J. Evaluation of thermal effects on temperature-sensitive operating force of flow servo valve for fuel metering unit［J］. Chinese Journal of Aeronautics， 2020， 33（6）：1812-1823.
22	科尔克尔. 零件机械加工精度的数学分析［M］. 祝玉光，译. 北京：机械工业出版社， 1983： 42-48.
	Kolker. Mathematical analysis of machining accuracy of parts［M］. ZHU Y G， translated. Beijing： China Machine Press， 1983：42-48 （in Chinese）.
23	尹启承. 工序能力与工序能力指数［M］. 中国农业机械出版社， 1983： 39.
	YIN Q C. Process capability and process capability index ［M］. Beijing： China Agricultural Machinery Press， 1983： 39 （in Chinese）.
24	李双路，訚耀保，刘敏鑫，等. 偏转板伺服阀射流盘组件的压力特性预测与分析［J］. 华南理工大学学报（自然科学版）， 2020， 48（9）：75-82.
	LI S L， YIN Y B， LIU M X， et al. Pressure characteristic prediction and analysis of deflector jet servo valve jet-pan components［J］. Journal of South China University of Technology （Natural Science Edition）， 2020， 48（9）：75-82 （in Chinese）.
25	KRIGE D G. A statistical approach to some basic mine valuation problems on the witwatersrand［J］. Journal of the Chemical， Metallurgical and Mining Society of South Africa， 1951， 52（6）：119-139.
26	郭荣. 车用涡轮增压进气系统消声器声学理论及应用［M］. 上海：同济大学出版社， 2017： 135-139.
	GUO R. Acoustic theory and application of muffler of turbocharged intake system for vehicle［M］. Shanghai： Tongji University Press， 2017： 135-139 （in Chinese）.
27	SOBOL I M. Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates［J］. Mathematics and Computers in Simulation， 2001， 55（1-3）： 271-280.

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Internal leakage distribution model and parameter sensitivity analysis of spool valve couple at zero position

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