2012
DOI: 10.1115/1.4005621
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Modeling of the Meshing of Trochoidal Profiles With Clearances

Abstract: This paper explains development of the general mathematical model of trochoidal gearing that can be applied for gerotor pumps and cyclo reducers. The model analyzes geometry and physics of the gearing pair in trochoidal pump where the outer gear has one tooth more than the inner gear. The inner gear profile is described by peritrochoid equidistance and the outer gear profile by circular arc. Mathematical model of gearing with clearances is based on the principle of an ideal profile development. Minimum clearan… Show more

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Cited by 51 publications
(26 citation statements)
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“…Ivanović has performed a great amount of work related to gerotor pumps as previously exposed. This time, the works of Ivanović et al [110][111][112][113] are preferentially classified as analytical methods to predict operating characteristics. Mathematical models of meshing, contact forces and influence of the clearances were presented with numerical examples, as shown in Figure 18.…”
Section: Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…Ivanović has performed a great amount of work related to gerotor pumps as previously exposed. This time, the works of Ivanović et al [110][111][112][113] are preferentially classified as analytical methods to predict operating characteristics. Mathematical models of meshing, contact forces and influence of the clearances were presented with numerical examples, as shown in Figure 18.…”
Section: Methodsmentioning
confidence: 99%
“…These two 3D-models were used Figure 18. Minimum clearance height variation during one rotation (360º) and during one phase (60º) for a gerotor pump unit with fixed axes (Ivanović et al [110]).…”
Section: Integrated Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…With regard to the first subject, it is important to underline the studies by Litvin, who applied the theory of gearing [10] to cycloidal gerotors in [11], providing a general mathematical framework that is able to describe any kind of rotor profile, and to describe the geometrical conditions that may cause discontinuities in the gear profiles. Other formulations on the same problem, including an original geometrical interpretation by Mimmi, can be found in [12][13][14], while the pump dynamics has been investigated by Ivanovic and colleagues [15][16][17].…”
Section: Introductionmentioning
confidence: 99%
“…The most important investigations of the hydraulic pump parameters are given in [2], [4], [5], the model of computer dynamics of the fluid could be found in [6], and profile of the gears in [7]. Research of the gap calculation between the teeth profiles is presented in [8]. Significant publications that relate the stress in the teeth contact of the trochoidal meshing are [9][10][11].…”
Section: Introductionmentioning
confidence: 99%