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Research Papers

Geometric and Kinematic Modeling of a Variable Displacement Hydraulic Bent-Axis Piston Pump

[+] Author and Article Information
Mohammad Abuhaiba

Department of Industrial Engineering, Islamic University of Gaza, P.O. Box 108, Gaza, Palestinemhaiba@yahoo.com

Walter W. Olson

Department of Mechanical, Industrial, and Manufacturing Engineering, Hydraulic Hybrid Innovations Laboratory, University of Toledo, Toledo, OH 43606wolson@eng.utoledo.edu

J. Comput. Nonlinear Dynam 5(4), 041010 (Aug 12, 2010) (12 pages) doi:10.1115/1.4002084 History: Received February 04, 2009; Revised May 04, 2010; Published August 12, 2010; Online August 12, 2010

One of the problems of a hydraulic hybrid vehicle (HHV) reported from testing by EPA is that the noise levels emitted by the hydraulic system are not acceptable. The pump is the main source of noise in HHV systems. However, the lack of space, the high pressure, and the dynamics of components within the pump have prevented either direct observation or measurement of potential noise causing mechanisms within the pump structure. As a result, there are several theories as to the source of the noise from the pump units but little concrete information to further isolate and reduce the noise generation. In this paper, a kinematic and a geometric model of a bent-axis pump have been created as part of a complete dynamic model. The other elements of the complete dynamic model that are not discussed in this paper include finding the variation of piston pressure, flow rate, and dynamic forces acting on the pump components as a function of angular rotations of both the main shaft and the yoke in the time and frequency domains. These elements address the harmonics of the forces acting on the case of the pump and will be presented in a future paper. The model was constructed using MATHEMATICA ™ software and verified against very well known conditions of the motion of the main shaft and the yoke. It was found that the model predicted the variations of the angular velocities and accelerations of the entire pump’s parts starting from the main shaft to the yoke.

Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Basic components of a bent-axis pump (4)

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Figure 2

Double Cardan joint geometric relations

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Figure 3

Bent-axis pump geometric relations

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Figure 4

Geometric parameters of the displacement mechanism

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Figure 5

Piston displacement as a function of main shaft and yoke rotations

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Figure 6

Velocity of the piston along the a1 and a2 directions (case 2)

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Figure 7

The velocity of the piston along the a3 direction (case 2)

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Figure 8

Acceleration of the first piston along the a1 and a2 directions (case 2)

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Figure 9

The acceleration magnitude of the first piston (case 2)

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Figure 10

The velocity of the connecting rod along the a1 and a2 directions (case 2)

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Figure 11

The velocity component of the connecting rod along the a3 direction (case 2)

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Figure 12

Acceleration of the connecting rod along the a1 and a2 directions (case 2)

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Figure 13

Magnitude of the acceleration of the connecting rod (case 2)

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Figure 14

Angle, angular velocity, and angular acceleration of the yoke

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Figure 15

Displacement, velocity, and acceleration of the ram

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Figure 16

Angular velocity and acceleration of the actuating link

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Figure 17

Velocity and acceleration of the center of gravity of gravity of the actuating link

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