Reliability Sensitivity Analysis of Pressure Fluctuations for Direct-Acting Relief Valves

doi:10.12068/j.issn.1005-3026.2024.12.009

Abstract

Abstract:

Hydraulic equipment commonly is operated under complex conditions， characterized by adverse factors such as intense vibration and impact. These factors， combined with the uncertainty of structural parameters， can easily lead to pressure fluctuations in relief valves， potentially resulting in equipment failure. To address this issue， a reliability analysis model for the pressure fluctuation failure of direct‑acting relief valves is presented， considering the influence of environmental vibration and uncertainty factors. A dynamic model for the relief valve under environmental vibration is developed， and then its corresponding dynamic characteristics are analyzed. Moreover， based on the dynamic characteristics analysis of the relief valve and the released value of the national standard， a limit‑state function for pressure fluctuation failure is established. Furthermore， the reliability sensitivity analysis is performed using the Kriging model to evaluate the contribution of each parameter to the occurrence of pressure fluctuation failure. The results indicate that the vibration frequency has the most significant impact on reliability， followed by the spool mass and vibration amplitude， while the controlled chamber volume and sensitive chamber volume show a minimal contribution. The research results can provide a theoretical basis for regulating the pressure fluctuation failure of relief valves under environmental vibration.

Key words: relief valve, vibration, pressure fluctuation, Kriging model, reliability sensitivity

CLC Number:

TB 114.3

Cong-yi ZHA, Zhi-li SUN, Qin LIU, Peng-fei DONG. Reliability Sensitivity Analysis of Pressure Fluctuations for Direct-Acting Relief Valves[J]. Journal of Northeastern University(Natural Science), 2024, 45(12): 1744-1750.

Figures/Tables 15

Fig.1 Direct‑acting relief valve

Fig.2 Simulation block diagram of the relief valve

Fig.3 Flowchart of the reliability sensitivity analysis based on the Kriging model

Table 1 Primary parameters of the relief valve

参数	数值	参数	数值
Q/（L·min^-1）	25	V/m³	3.2×10^-3
m/kg	0.062	E/Pa	2×10⁹
B（N∙s∙m^-1）	700	δ/m	9×10^-4
k/（N∙m^-1）	1.3×10⁵	A_v/m²	6.2×10^-5
d₀/m	0.005	C_d	0.62
ρ/（kg∙m^-3）	896	W/m	0.025 1
V_c/m³	5×10^-6	l/m	5×10^-3
α/（°）	69	μ/（Pa∙s）	0.062

Fig.4 Dynamic characteristics of the relief valve

Fig.5 Pressure fluctuation amplitude at a constant frequency

Fig.6 Pressure fluctuation amplitude at a constant amplitude

Table 2 Distribution and parameters of input variables

变量	分布类型	均值	方差
m/kg	正态分布	0.062	6.2×10^-3
V_c/m³	正态分布	5×10^-6	5×10^-7
V/m³	正态分布	3.2×10^-3	3.2×10^-4
A/m	正态分布	0.003	3×10^-4
f/Hz	正态分布	40	4

Fig.7 Comparison between Kriging predicted values and actual values

Fig.8 Absolute errors of the Kriging predicted values and actual values

Table 3 Reliability results of different methods

方法	样本数	失效概率	时间/s
MC法	6×10⁴	0.041 6	6 073.6
Kriging	110	0.041 1	130

Fig.9 Response values G( x )

Fig.10 Frequency histogram of response values G( x )

Fig.11 Mean sensitivity analysis

Fig.12 Standard deviation sensitivity analysis

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