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.

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

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

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