Reliability Analysisfor Anti-oil Hammer of Hydraulic Pipe Based on Kriging Model

doi:10.12382/bgxb.2023.1025

Abstract

Abstract:

The oil hammer can easily lead to the adverse effects such as pipeline damage and leakage. The current analysis for the hydraulic pipe is based on its deterministic parameters, whereas the parameters generally exhibit random uncertainties in actual working conditions due to the manufacturing errors, material dispersion, and environmental changes. To address this issue, a reliability model with anti-oil hammer is developed for the pipe in considering the parameter uncertainties. Based on the four-equation model with fluid-structure interaction, the method of characteristics (MOC) is used for the dynamic characteristic analysis on the pipe subjected to oil hammer. Then a limit state function with anti-oil hammer for the pipe is established based on the criterion whether the oil hammer-induced peak pressure exceedes the yield strength or not. As the limit state function is implicit, a reliability analysis method with anti-oil hammer for the hydraulic pipe is established based on an adaptive Kriging model. Subsequently, the failure probability of the hydraulic pipe under oil hammer is calculated. The results indicate that the reliability analysis method based on the adaptive Kriging model can significantly improve the computational efficiency while meeting the accuracy requirements.

Key words: hydraulic pipe, oil hammer, reliability, method of characteristic, Kriging model

CLC Number:

TH137.7

ZHA Congyi, SUN Zhili, LIU Qin, DONG Pengfei. Reliability Analysisfor Anti-oil Hammer of Hydraulic Pipe Based on Kriging Model[J]. Acta Armamentarii, 2024, 45(12): 4364-4371.

Figures/Tables 9

Fig.1 Schematic diagram of valve-controlled hydraulic piping system

Fig.2 Computational grid and characteristic lines

Table 1 Basic parameters for the experiment[27]

参数	数值	参数	数值
L/m	37.23	v₀/(m·s^-1)	0.1
r/m	0.01105	ρ_f/(kg·m^-3)	999.1
υ/(m²·s^-1)	1.13×10^-6	Wh	2.65×10^-4
c/(m·s^-1)	1302	Re	1956
p₀/Pa	4.15×10⁵

Fig.3 Pressure at the midpoint of pipe

Table 2 Distribution and parameters of input variables

变量	分布类型	均值	方差
L/m	Gauss	1	5×10^-4
d/m	Gauss	0.012	3×10^-4
e/m	Gauss	0.001	5×10^-5
E/GPa	Gauss	206	10.3
σ/MPa	Gauss	205	10.5

Fig.4 Frequency histogram of response G(x)

Fig.5 Response G(x)

Table 3 Results of anti-oil hammar reliability analysis

方法	样本数	失效概率	计算时间/min
MCS方法	2×10⁵	3.515×10^-3	1096.5
本文方法	81	3.705×10^-3	5.05

Fig.6 Training samples obtained with the active learning

References 28

[1]	GAO P X, YU T, ZHANG Y L, et al. Vibration analysis and control technologies of hydraulic pipeline system in aircraft: a review[J]. Chinese Journal of Aeronautics, 2021, 34(4): 83-114.
[2]	权凌霄, 孙冰江, 赵劲松, 等. 航空弯曲液压管路流固耦合振动频响分析[J]. 西北工业大学学报, 2018, 36(3):487-495.
	QUAN L X, SUN B J, ZHAO J S, et al. Frequency response analysis of fluid-structure interaction vibration in aircraft bending hydraulic pipe[J]. Journal of Northwestern Polytechnical University, 2018, 36(3):487-495. (in Chinese)
[3]	GAO H B, GUO C H, QUAN L X, et al. Frequency domain analysis of fluid-structure interaction in aircraft hydraulic pipe with complex constraints[J]. Processes, 2022, 10(6): 1161.
[4]	张怀亮, 陈婷, 潘文龙. 基础振动下液压管道主动减振研究[J]. 机械设计与研究, 2019, 35(4): 58-63.
	ZHANG H L, CHEN T, PAN W L. Research on active damping of hydraulic pipelines under the basic vibration[J]. Machine Design and Research, 2019, 35(4): 58-63. (in Chinese)
[5]	ZHANG J N, XIAO L, MAO X Y, et al. Fatigue life analysis of a slightly curved hydraulic pipe based on pairs theory[J]. Nonlinear Dynamics, 2023: 111:17843-17857.
[6]	周知进, 丁一, 林家祥, 等. 卡箍对L形航空液压管道振动影响研究[J]. 机床与液压, 2021, 49(24): 37-40. doi: 10.3969/j.issn.1001-3881.2021.24.007
	ZHOU Z J, DING Y I, LIN J X, et al. Research on the influence of clamps on the vibration of L-shaped aviation hydraulic pipeline[J]. Machine Tool and Hydraulics, 2021, 49(24): 37-40. (in Chinese)
[7]	MAO X Y, XIAO L, DING H, et al. Forced resonance of a slightly-curved hydraulic pipe fixed at two ends[J]. Transactions of Nanjing University of Aeronautics and Astronautics, 2022, 39(3): 271-279.
[8]	FAN X, ZHU C A, MAO X Y, et al. Resonance regulation on a hydraulic pipe via boundary excitations[J]. International Journal of Mechanical Sciences, 2023, 252: 108375.
[9]	母东杰, 李长春, 延皓, 等. 基于特征线理论的阀控液压管路瞬变过渡流数值分析[J]. 兵工学报, 2012, 33(12):1455-1460.
	MU D J, LI C C, YAN H, et al. Characteristic based numerical analysis of transitional flow in servo controlled hydraulic pipelines[J]. Acta Armamentarii, 2012, 33(12): 1455-1460. (in Chinese)
[10]	URBANOWICZ K, STOSIAK M, TOWARNICKI K, et al. Theoretical and experimental investigations of transient flow in oil-hydraulic small-diameter pipe system[J]. Engineering Failure Analysis, 2021, 128: 105607.
[11]	GUO X M, CAO Y M, MA H, et al. Dynamic analysis of an L-shaped liquid-filled pipe with interval uncertainty[J]. International Journal of Mechanical Sciences, 2022, 217: 107040.
[12]	刘伟, 刘永寿, 姜志峰, 等. 液压源管路系统随机压力脉动可靠性研究[J]. 振动与冲击, 2011, 30(6): 265-268.
	LIU W, LIU Y S, JIANG Z F, et al. Pressure pulsation reliability analysis of hydraulic power pipelines[J]. Journal of Vibration and Shock, 2011, 30(6): 265-268. (in Chinese)
[13]	赵静一, 朱明, 王启明, 等. FAST液压促动器液压系统管路可靠性增长试验研究[J]. 机械工程学报, 2019, 55(16): 197-204. doi: 10.3901/JME.2019.16.197
	ZHAO J Y, ZHU M, WANG Q M, et al. Reliability growth test study of five-hundred-meter aperture spherical radio telescope reflective surface hydraulic actuator[J]. Journal of Mechanical Engineering, 2019, 55(16): 197-204. (in Chinese) doi: 10.3901/JME.2019.16.197
[14]	GUO Q, LÜ T Q, LIU Y S, et al. Dynamic reliability and global sensitivity analysis for hydraulic pipe based on sparse grid integral method[J]. Journal of Pressure Vessel Technology, 2019, 141(6): 061701.
[15]	ZHOU C C, ZHANG Z, LIU F C, et al. Sensitivity analysis for probabilistic anti-resonance design of aeronautical hydraulic pipelines[J]. Chinese Journal of Aeronautics, 2019, 32(4): 948-953.
[16]	张天霄. 有限概率信息下液压管路的可靠性微分灵敏度分析[J]. 机械强度, 2021, 43(5):1082-1087.
	ZHANG T X. Reliability differential sensitivity analysis of hydraulic pipeline under finite probability information[J]. Journal of Mechanical Strength, 2021, 43(5):1082-1087. (in Chinese)
[17]	TIJSSELING A S. Exact solution of linear hyperbolic four-equation system in axial liquid-pipe vibration[J]. Journal of Fluids and Structures, 2003, 18(2): 179-196.
[18]	杨林清, 秦本科, 薄涵亮. 结合部耦合的能量分析方法[J]. 清华大学学报(自然科学版), 2023, 63(5): 840-848.
	YANG L Q, QIN B K, BO H L. Energy analysis method of junction coupling[J]. Journal of Tsinghua University (Science and Technology), 2023, 63(5): 840-848. (in Chinese)
[19]	朱海波, 赵钢, 徐江. 飞机地面液压油泵源管路液压冲击研究[J]. 沈阳航空航天大学学报, 2014, 31(2):56-58.
	ZHU H B, ZHAO G, XU J. Hydraulic impact studies of the aircraft ground hydraulic pump source pipelines[J]. Journal of Shenyang Aerospace University, 2014, 31(2): 56-58. (in Chinese)
[20]	CHENG K, LU Z Z. Structural reliability analysis based on ensemble learning of surrogate models[J]. Structural Safety, 2020, 83: 101905.
[21]	ZHOU J, LI J. IE-AK: a novel adaptive sampling strategy based on information entropy for Kriging in metamodel-based reliability analysis[J]. Reliability Engineering and System Safety, 2023, 229: 108824.
[22]	ZHA C Y, SUN Z L, WANG J, et al. A general active-learning method for surrogate-based structural reliability analysis[J]. Structural Engineering and Mechanics, 2022, 83(2): 167-178.
[23]	QIAN H M, WEI J, HUANG H Z. Structural fatigue reliability analysis based on active learning Kriging model[J]. International Journal of Fatigue, 2023, 172: 107639.
[24]	XIAO N C, YUAN K, ZHOU C N. AdaptiveKriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables[J]. Computer Methods in Applied Mechanics and Engineering, 2020, 359: 112649.
[25]	ECHARD B, GAYTON N, LEMAIRE M. AK-MCS: an active learning reliability method combining Kriging and Monte Carlo simulation[J]. Structural Safety, 2011, 33(2): 145-154.
[26]	JIANG C, YAN Y F, WANG D P, et al. Global and local Kriging limit state approximation for time-dependent reliability-based design optimization through wrong-classification probability[J]. Reliability Engineering and System Safety, 2021, 208: 107431.
[27]	URBANOWICZ K, BERGANT A, STOSIAK M, et al. Developments in analytical wall shear stress modelling for water hammer phenomena[J]. Journal of Sound and Vibration, 2023, 562: 117848.
[28]	田灵飞. 某火炮自动供输弹机液压控制系统研究[D]. 南京: 南京理工大学, 2013.
	TIAN L F. Research on the hydraulic control system of a self-propelled artillery automatic feed transfer mechanism[D]. Nanjing: Nanjing University of Science and Technology, 2013. (in Chinese)