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Multiple frequency vibration of the micro lubricating gap geometry between cylinder block and valve plate in an axial piston pump

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Abstract

Refined models of the forces in the cylinder block/valve plate system along Z axis and the moments around X and Y axes were built, considering the pressure ripple due to the piston reciprocating motions (PRM) and pressure variations in the wedge film (PVF) and the chambers (PVC) caused by the silencing slots. The multi-frequency vibration models of the gap geometry owing to the forces and moments are proposed. The dynamic mechanical balance equations are presented. The frequency spectra of the test gap thickness show the vibration amplitudes at the first three frequencies are larger than those of the other frequencies. PVF and PVC have obvious influences on the gap at the second frequency, and PRM exerts an impact at the third. The moment fluctuations around X and Y axes, bending stiffness of the shaft, and the rough surfaces contact could affect the vibration amplitude of the wedge gap geometry.

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Abbreviations

F :

Force

M :

Moment

A :

Area

R :

Radius

L :

Length

I :

Inertia moment

K :

Bulk modulus

L :

Length

r :

Radius

d :

Diameter

w :

Angular velocity

E :

Bulk modulus

p :

Pressure

h :

Gap thickness

θ :

Polar angle

α :

Wedge angle

β :

Inclination angle

γ :

Azimuth angle

φ :

Rotary angle

λ :

Pressure ripple coefficient

Z :

Number of piston chambers

p s :

Steady pressure

p d :

Ripple pressure

r 1 :

Inner diameter of internal seal land

r 2 :

Outer diameter of internal seal land

r 3 :

Inner diameter of external seal land

r 4 :

Outer diameter of external seal land

r 5 :

Inner diameter of supporting land

r6:

Outer diameter of supporting land

r 7 :

Inner diameter of silencing slot

r 8 :

Outer diameter of silencing slot

n f :

Number of contact peaks per unit area

z f :

Height of rough peaks

σ :

Surface roughness

F nx :

Force along positive X axis

Δ:

Radial clearance of the big bearing

f A :

Deflection value at the point A

α γ0 :

Inclination angle at the point A

ζ :

Moment coefficient

z :

Displacement along Z axis

P:

Discharge pressure

T:

Tank pressure

a:

Point a

b:

Point b

c:

Point c

d:

Point d

X:

X axis

Y:

Y axis

Z:

Z axis

F:

Wear

tol:

Total thickness/angle

pis:

Piston/chamber

pis1:

#1 piston/chamber

pis2:

#2 piston/chamber

pis2:

#3 piston/chamber

flm:

Oil film

mix:

Mixed friction

i:

Initial angle value

j:

End angle value

e:

Equivalent roughness/radius

sft:

Main shaft

cyd:

Cylinder block

vlv:

Valve plate

rol:

Roller

mg:

Gravity of cylinder block

axs:

Force/moment on the main shaft

max:

Maximum thickness

min:

Minimum thickness

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Acknowledgments

This work was supported by the National Natural Science Foundation supported by National Natural Science Foundation (number 51605320), China, the Open Research Fund of State Key Laboratory of High Performance Complex Manufacturing supported by Central South University (number Kfkt2018-13), China, and the Key Research and Development Projects supported by ShanXi Science and Technology Department (number 201903D121077), China.

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Authors and Affiliations

  1. School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, 030024, China

    Zhiqiang Zhang & Yuanyuan Chen

  2. Shanxi Key Laboratory of Metallic Materials Forming Theory and Technology, Taiyuan University of Science and Technology, Taiyuan, 030024, China

    Zhiqiang Zhang & Kunshan Jin

  3. School of Instrument Science and Opto-Electronics Engineering, Beijing Information Science and Technology University, Beijing, 100192, China

    Jianli Song

  4. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, 410083, China

    Jianli Song & Haibo Zhou

Authors
  1. Zhiqiang Zhang
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  2. Yuanyuan Chen
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  3. Jianli Song
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  4. Kunshan Jin
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  5. Haibo Zhou
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Correspondence to Zhiqiang Zhang.

Additional information

Zhiqiang Zhang is an Associate Professor of Mechanical Engineering, Taiyuan University of Science and Tech-nology, Taiyuan, China. He received his Ph.D. in Material Processing Engineering from Taiyuan University of Science and Technology. His research interests include lubrication characteristics, heat transfer.

Yuanyuan Chen is a lecturer in Mechanical Engineering, Taiyuan University of Science and Technology, Tai-yuan, China. She received her M.D. in mechanical design and theory from Harbin Institute of Technology, Harbin, China. Her research interests include elastohydrodynamic lubrication calculation and experiment.

Jianli Song is a Professor and doctoral supervisor of the School of Instrument Science and Cpto-Electronics Engineering, Beijing Information Science and Technology University. She received her Ph.D. in Material Processing Engineering from Shanghai Jiao Tong University, ShangHai, China. Her research interests include advanced manufacturing technology.

Kunshan Jin is a lecturer in Electronic Information Engineering, Taiyuan University of Science and Technology, Tai-yuan, China. He received his Ph.D. in Material Processing Engineering from Taiyuan University of Science and Technology. His research interests include modelling and control of electromechanical systems.

Haibo Zhou is a Professor and doctoral supervisor of Mechanical and Electrical Engineering, Central South University, Changsha, China. He received his Ph.D. in Mechanical and Electrical engineering from Central South University. His research interests include theory and application of fuzzy intelligent control, ultra-precision motion design.

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Zhang, Z., Chen, Y., Song, J. et al. Multiple frequency vibration of the micro lubricating gap geometry between cylinder block and valve plate in an axial piston pump. J Mech Sci Technol 35, 4835–4848 (2021). https://doi.org/10.1007/s12206-021-1003-4

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  • DOI: https://doi.org/10.1007/s12206-021-1003-4

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