Paper Title:

An Optimization Approach to the Displacement Volumes for External Spur Gear Pumps

Periodical Materials Science Forum (Volume 594)
Main Theme Advanced Manufacture
Edited by Sheng-Jye Hwang and Sen-Yung Lee
Pages 57-71
DOI 10.4028/www.scientific.net/MSF.594.57
Citation Kuo Jao Huang et al., 2008, Materials Science Forum, 594, 57
Online since August, 2008
Authors Kuo Jao Huang, Wen Ruey Chang, Wun Chuan Lian
Keywords Addendum Correction Factor, Displacement Volume, External Gear Pump, Flow Rate, Involute, Optimization, Spur Gear
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Abstract

To increase volume displacement is always concerning in designing external gear pumps (EGPs). Therefore, an approach of optimization analysis intending to enhance their displacement capability is proposed in this study. Through that, design parameters of the spur gears in the pumps are systematically resulted to achieve their optimal volume displacements. Parametrically, a CAD model to visualize the designed gear of the optimal design is also created. Firstly, the study derives tooth profile equations by using the coordinate transformation and equation of meshing for gears on a rack cutter profile. Then, an analytic formula represented the enveloping area by an involute curve is derived. Next, volumes of output and trapped backflow of the EGP are achieved. Therefore the net output volume can be calculated accurately and efficiently. After that, the optimization analysis to maximize the volume displacement is performed. Through that, optimal design parameters for the pumps are achieved under assigned constraints for considerations of design and manufacturing. Additionally, influences of module, pressure angle, and addendum correction factor for the gears in the pumps on their displacement capability are also investigated. Additionally, flowrate fluctuation characteristics under different pressure angles of gears are finally discussed.