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Kinematic Solution and Force Layout of a Roller Pump with Internal Outlets
Technical Paper
2000-01-0833
ISSN: 0148-7191, e-ISSN: 2688-3627
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Event:
SAE 2000 World Congress
Language:
English
Abstract
The article presents a theoretical analysis of a roller pump design and a summary of the experiments. The pump is to provide high pressure for transmission, accessory drive, and other applications. A theoretical model was built to simulate the motion of the rollers and optimize the design. An experiment was conducted to prove the simulation.
The mathematical model was built within constraints of rigid body mechanics. Comprehensive kinematic and force analysis was done through differential equations of motion. Obtained quantitative relationships include, on one hand, pump geometry, speed of rotation, and discharge/suction oil pressure, and, on the other hand, torque, dynamic interaction of relatively moving parts, and kinematic parameters of the roller. The model includes dissipate forces to account for hydraulic effects. Modeling these forces is beyond mechanics of solid body and is not considered at this initial stage of research. The simulation used matrix algebra, recursive methods of solving non-linear system of equations, ordinary differential equations. Calculations were done by means of MathCad7 Professional software in a MathConnex frame. Tests were conducted on a hydraulic pump test stand with capabilities to set and measure speed, pressure, torque, flow, and temperature.
The research showed that
- a mathematical model built on fundamental scientific basis and strengthened with modern computer tools is valid for explaining available experimental facts; therefore, it may be used for optimizing geometry
- the model is flexible: new components, such as those representing hydrodynamic effects, may be easily added for better approximation
- both calculations and experiments revealed some drawbacks of the design; nevertheless, further development is feasible.
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Citation
Zhurba, N. and Cleghorn, W., "Kinematic Solution and Force Layout of a Roller Pump with Internal Outlets," SAE Technical Paper 2000-01-0833, 2000, https://doi.org/10.4271/2000-01-0833.Data Sets - Support Documents
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Also In
SAE 2000 Transactions Journal of Passenger Cars - Mechanical Systems
Number: V109-6; Published: 2001-09-15
Number: V109-6; Published: 2001-09-15
References
- Targ, S. Theoretical Mechanics: A Short Course. Trans. from Russian Moscow 1976
- Thomas, George B. Jr. Calculus and Analytic Geometry Reading Mass Addison-Wesley Publishing Company 1972
- Kluger, Michael A. Fussner Douglas R. Roetler Bob A Performance Comparison of Various Automatic Transmission Pumping Systems Proc. of SAE Internatonal Congress and Exposition Detroit 1996
- Computer software 1997