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Lubrication characteristics of external return spherical hinge pair of axial piston pump or motor under combined action of inclination and offset distance

柱塞泵/马达外回程球铰副倾角偏距共同作用下的润滑特性

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Abstract

External return mechanism is a mechanical structure applied to axial piston pumps. To study its lubrication characteristics, the Reynolds equation applied to an external return spherical hinge pair was deduced based on the vector equation of relative-motion velocity of the external return spherical hinge pair under the influence of external swash plate inclination and offset distance. The results show that the total friction, axial leakage flow, and maximum value of the maximum oil-film pressure increase with increasing pump-shaft speed and decrease with increasing offset distance in one working cycle when the external-swash-plate inclination is constant. However, the varying offset distance has little effect on the axial leakage flow. The maximum value of the maximum oil-film pressure decreases with increasing external-swash-plate inclination and the total leakage flow increases with increasing external-swash-plate inclination in one working cycle when the offset distance is constant. It can be seen that the abovementioned parameters are important factors that affect the lubrication characteristics of external return spherical hinge pairs. Therefore, the complex effects of different coupling parameters should be comprehensively considered in the design of the external return mechanism.

摘要

外回程机构是应用于轴向柱塞泵的机械结构,为研究其润滑特性,基于外斜盘倾角和偏距影响 下的外回程球铰副相对运动速度矢量方程,推导出适用于外回程球铰副的Reynolds 方程,对比分析了 不同工况下外回程球铰副的摩擦润滑特性。结果表明:当外斜盘倾角一定时,外回程机构一个工作循 环中最大油膜压力的最大值和总摩擦功率均随着转速的增加而增加、随着偏距的增加而减少;而偏距 的变化对轴向泄露流量的影响甚微。当偏距一定时,一个工作循环中最大油膜压力的最大值随着外斜 盘倾角的增加而减少,总轴向泄露流量随着偏距的增加而增加。由此可知,以上参数是影响外回程球 铰副润滑特性的重要因素。因此在外回程机构设计时,需综合考虑不同参数耦合作用下复杂影响。

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Abbreviations

β :

External swash plate inclination (°)

β 1 :

The angle between O-x1 and the O-x axis (°)

b f :

Offset distance (m)

R :

Radius of external retainer plate (m)

R M :

Radius of external spherical hinge (m)

B :

Width of external retainer plate (m)

B 1 :

The distance from the point Q to the right end face of the external retainer plate (m)

B 2 :

The distance from the point Q to the left end face of the external retainer plate (m)

ω b :

Angular velocity of the external spherical hinge (rad/s)

ω r :

Instantaneous angular velocity of the external return plate (rad/s)

ω :

Angular velocity of the pump/motor shaft (rad/s)

m:

Intercept an arbitrary small fluid element

m1 :

A contact point between external retainer plate and external spherical hinge

u r :

The velocity components in the direction of r (m/s)

u θ :

The velocity components in the direction of θ (m/s)

u φ :

The velocity components in the direction of φ(m/s)

r :

The distance from any point m in the contact oil film between the external retainer plate and external spherical hinge to the center of the external spherical hinge (m)

ζ :

The distance from the outer surface of external retainer plate to the small fluid element m (m)

τ θ :

Fluid shear stress component in the θ direction (MPa)

τ φ :

Fluid shear stress component in the θ direction (MPa)

c :

Radius clearance (m)

ε :

Eccentricity

h :

Film thickness (m)

η :

Lubricating oil viscosity (Pa·s)

\(\overline {{F_p}}\) :

Loading capacity of oil film

\(\overline {{F_\varphi}} \) :

Friction of oil film

μ :

Friction coefficient of oil film

P φ :

Dimensionless oil film friction power

\({{\bar Q}_\theta}\) :

Dimensionless axial leakage flow

p 0 :

Environment pressure (MPa)

P :

Dimensionless pressure of oil film

p :

Pressure of oil film (MPa)

n :

Pump-shaft speed (r/min)

ε x :

Axial eccentricity

ε y :

Radial eccentricity

beat:

Relaxation factor

ρ :

The constant fluid (oil) density (kg·m−3)

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Authors and Affiliations

  1. School of Mechanical Engineering, Anhui University of Science and Technology, Huainan, 232001, China

    Lei Wang  (王雷), Hai-shun Deng  (邓海顺), Yong-chun Guo  (郭永存), Chuan-li Wang  (王传礼) & Cong Hu  (胡聪)

  2. Anhui Key Laboratory of Mine Intelligent Equipment and Technology, Anhui University of Science and Technology, Huainan, 232001, China

    Lei Wang  (王雷) & Chuan-li Wang  (王传礼)

  3. State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology, Huainan, 232001, China

    Hai-shun Deng  (邓海顺) & Yong-chun Guo  (郭永存)

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  1. Lei Wang  (王雷)
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Contributions

WANG Lei and DENG Hai-shun provided the concept and edited the draft of manuscript. WANG Lei and HU Cong conducted the literature review and wrote the first draft of the manuscript. WANG Lei, GUO Yong-chun and WANG Chuan-li edited the draft of manuscript.

Corresponding author

Correspondence to Hai-shun Deng  (邓海顺).

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Conflict of interest

WANG Lei, DENG Hai-shun, GUO Yong-chun, WANG Chuan-li, and HU Cong declare that they have no conflict of interest.

Foundation item: Project(GXXT-2019-048) supported by the University Synergy Innovation Program of Anhui Province, China; Project(51575002) supported by the National Natural Science Foundation of China; Project(gxbjZD11) supported by the Top-Notch Talent Program of University (Profession) in Anhui Province, China

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Wang, L., Deng, Hs., Guo, Yc. et al. Lubrication characteristics of external return spherical hinge pair of axial piston pump or motor under combined action of inclination and offset distance. J. Cent. South Univ. 28, 2375–2393 (2021). https://doi.org/10.1007/s11771-021-4776-9

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  • DOI: https://doi.org/10.1007/s11771-021-4776-9

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