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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17925

Title: Geometric Modelling for Cylindrical and Helical Gear Pumps with Circular Arc Teeth
Authors: Chen, C. K.;Yang, Shyue-Cheng
Contributors: 車輛科技研究所
Keywords: Geometric modelling;Cylindrical and helical gear pumps;Circular arc teeth
Date: 2000
Issue Date: 2014-01-15T04:18:48Z
Publisher: SAGE
Abstract: This paper describes a simple approach based on the envelope theory for deriving the geometric models of cylindrical and helical gear pumps with circular arc teeth. A gear pump with circular arc teeth can be easily obtained through the envelope theory for a one-parameter family of surfaces. In the process of machining a gear blank, the required rack-cutter teeth can be obtained by using the obtained cylindrical and helical gears, whose forms are easily determined by the envelope theory. Here the authors provide geometric modelling of the designed gear pump meshing when assembly errors are present. To illustrate the effectiveness of the approach, an analytical expression of cylindrical and helical gear pumps with circular arc teeth is given.
This paper describes a simple approach based on the envelope theory for deriving the geometric models of cylindrical and helical gear pumps with circular arc teeth. A gear pump with circular arc teeth can be easily obtained through the envelope theory for a one-parameter family of surfaces. In the process of machining a gear blank, the required rack-cutter teeth can be obtained by using the obtained cylindrical and helical gears, whose forms are easily determined by the envelope theory. Here the authors provide geometric modelling of the designed gear pump meshing when assembly errors are present. To illustrate the effectiveness of the approach, an analytical expression of cylindrical and helical gear pumps with circular arc teeth is given.
Relation: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering, 214(4): 599-607
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