基于随机流量下柱塞泵的可靠性分析

doi:10.13229/j.cnki.jdxbgxb20200559

摘要/Abstract

摘要：

通过对柱塞泵各摩擦副单柱塞间隙泄漏流量进行分析，推导出整个柱塞泵平均间隙泄漏流量，建立了总泄漏流量及容积效率模型。由于柱塞泵在制造、运行过程中其尺寸公差和运行工况的随机不确定性致使其流量也具有随机性，选取与随机流量密切相关的容积效率作为可靠性判据，提出了一种实用的柱塞泵流量特性的可靠性及灵敏度分析方法，并用Monte-Carlo随机数值模拟法验证了本文方法的准确性。研究结果表明：柱塞泵的容积效率可靠度随斜盘倾斜角和转速的增大而提高，随排油压力的增大而降低；各基本随机变量对可靠性影响的敏感度存在明显差异，滑靴副间隙在各摩擦副间隙中对可靠性的影响最为敏感。

关键词: 流体传动与控制, 柱塞泵, 可靠性分析, 随机流量, 改进一次二阶矩

Abstract:

In this paper, the average clearance leakage flow of the whole piston pump is derived by analyzing the clearance leakage flow of each friction pair of the piston pump, and the total leakage flow and volumetric efficiency model are established. The flow of the piston pump is random due to the random uncertainty of the size tolerance and the operating conditions during the manufacturing and operation of the piston pump. The volumetric efficiency which is closely related to the random flow is selected as the reliability criterion, and a practical reliability and sensitivity analysis method for the flow characteristics of the piston pump was proposed. The accuracy of the proposed method was verified by Monte-Carlo stochastic numerical simulation. The results show that the volumetric efficiency reliability of piston pump increases with the tilt angle of swash plate and rotation speed, and decreases with the increase of oil discharge pressure. The sensitivity of the of the basic random variables to the influence of the reliability is obviously different, and the slipper pair clearance is the most sensitive to the influence of reliability in many clearances of friction pairs.

Key words: hydraulic transmission and control, piston pump, reliability analysis, random flow rate, advanced first-order second moment

中图分类号:

TH322

杜尊令,张义民. 基于随机流量下柱塞泵的可靠性分析[J]. 吉林大学学报(工学版), 2021, 51(6): 1967-1974.

Zun-ling DU,Yi-min ZHANG. Reliability analysis of piston pump under random flow rate[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(6): 1967-1974.

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随机变量	分布类型	均值	变异系数
δ_ss/m	正态分布	1.5×10^-5	0.005
δ_sp/m	正态分布	1.5×10^-5	0.005
δ_pc/m	正态分布	1.5×10^-5	0.005
δ_cv/m	正态分布	1.5×10^-5	0.005
d_p/m	正态分布	0.016 7	0.005
R_p/m	正态分布	0.030 65	0.005
γ/（°）	正态分布	17.5	0.05
μ/（Pa?s）	正态分布	0.028	0.05
p_d/Pa	正态分布	21×10⁶	0.05