Design of deviation-function based gerotors

Tong, Shih-Hsi; Yan, Jun; Yang, Daniel C. H.

doi:10.1016/j.mechmachtheory.2009.01.001

Cited by 19 publications

(18 citation statements)

References 12 publications

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“…In a continuous research effort, Yan, Tong, and Yang [15][16][17] developed a theory and methodology for the profile generation of deviation-function-based gerotors. As a result, numerous new gerotor profiles are now available to gerotor designers.…”

Section: Flowrate Formulation and Displacement Analyses For Deviationmentioning

confidence: 99%

“…Referring to Tong et al [15], one has multiple sets of deviation functions because gerotors always have multiple contact points at any instant. The relationship between different deviation functions can be derived by applying the law of cosine.…”

Section: Flowrate Formula For General Georotorsmentioning

confidence: 99%

“…The integration of k into pitch equations has already been reported in reference [15]. Now h is first inserted into the deviation functions.…”

Section: Flowrate Analysismentioning

confidence: 99%

“…In the second example, the authors select a rational pitch function in terms of pitch non-circularity, k, also from [15], as Here, θ 1s is the switch angle [15,17]. Again, assuming b = 1, based on equations (17) and (18), one can insert h into e 1 as…”

Section: Case 2: Gerotor With a Fourth-order Polynomial Deviation Funmentioning

confidence: 99%

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Flowrate formulation and displacement analyses for deviation function-based gerotor pumps

Yang

Yan

Tong

2010

Proceedings of the Institution of Mechanical Engineers, Part C:

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This article presents a research on the flowrate formulation and displacement analysis of gerotor pumps. The flowrate formula is based on the deviation function and is applicable to gerotors with any pitch curves and generating curves that are either circular or non-circular. For gerotors with the circular pitch curves and generating curves, the derivation of the formula proposed here is much simpler than the current available one. Two dimensionless parameters, the lobe non-circularity and the pitch non-circularity, are then introduced so that gerotor performance can be analysed systematically. As examples, the specific flowrate and displacement curves with the combinations of sinusoidal and polynomial pitch curves and deviation functions are illustrated. Based on these case studies, it is found that in general the specific displacement increases according to the lobe non-circularity, whereas the pitch non-circularity has only the minimum effects on the performance of pumping displacement. The results of the given case studies also show that the pumps with less lobe numbers are capable to have relatively larger specific displacements. external conjugate gear pumps, gerotor pumps have a compact configuration and high volumetric efficiency.Gerotors have been studied intensively in the past few decades [1-3]. Colbourne [4] derived the analytical flowrate expression of gerotor pumps with circular pitch and generating curves. For circular-pitch gerotors with elliptical or sinusoidal generating curves, Colbourne's formula can only provide the approximate results. He found that the flowrate curves of the three types of pumps were almost identical. Beard et al. [5] made the comparisons between the hypotrochoidal and epitrochoidal gerotors. They stated that epitrochoidal gerotors had greater pocket volume than hypotochoidal gerotors of a comparable size. In another report, Beard et al. [6] investigated the effects of the radius and location of the generating arc on the displacement of the resultant gerotors. Adams et al. [7,8] proposed a new type of gerotor with skewed axes. Compared with conventional gerotors, the skewedaxis gerotors might achieve the larger compression ratio and pocket volume. In year 2007, Chang and Kim [9] optimized the design parameters of gerotor oil pumps to maximize the specific flowrate and

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Section: Flowrate Formulation and Displacement Analyses For Deviationmentioning

confidence: 99%

Section: Flowrate Formula For General Georotorsmentioning

confidence: 99%

“…The integration of k into pitch equations has already been reported in reference [15]. Now h is first inserted into the deviation functions.…”

Section: Flowrate Analysismentioning

confidence: 99%

Section: Case 2: Gerotor With a Fourth-order Polynomial Deviation Funmentioning

confidence: 99%

See 2 more Smart Citations

Flowrate formulation and displacement analyses for deviation function-based gerotor pumps

Yang

Yan

Tong

2010

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…They have proposed a mathematical model applied to simulate the gerotor pump and cycloidal speed reducer [7][8][9]. Tong and others are the first to design non circular internal gerotor gear and develop the complete theory, as well as, the algorithm for designing non circular internal gerotor [10]. Jung Sung-Yuen and others have used Taguchi method for determing optimal rotor shape and design parameters of the pump.…”

Section: Introductionmentioning

confidence: 99%