An Optimal Choice of Profile Shift Coefficients for Spur Gears

Tomori, Zoltán

doi:10.3390/machines9060106

Cited by 4 publications

(3 citation statements)

References 13 publications

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“…On the basis of all this, a new method for the selection of the profile shift coefficients has been presented, with the application of which the preferred results in terms of the stresses on the teeth can be clearly determined [5].…”

Section: Methodsmentioning

confidence: 99%

Selection of Optimal Profile Shift Coefficients in Terms of Bending Stress for Spur Gears

Tomori

2023

Preprint

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The various methods used to choose the profile shift coefficients, primarily the so-called equalizations, were based on assumed advantages without physical evidence proving them. In this paper a new calculation method is presented for determining profile shift coefficient. The procedure gives the pair of values of the profile shift coefficients, in which case, under the given load, the resulting bending stress will be of the lowest possible value.

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Section: Methodsmentioning

confidence: 99%

Selection of Optimal Profile Shift Coefficients in Terms of Bending Stress for Spur Gears

Tomori

2023

Preprint

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“…The technical simulation methods have been integrated in the training of engineers (Dezső at al., 2017). The obtained results, together with the excellent results regarding the influence of profile shifting on the efficiency of the coupling (Tomori, 2021) were integrated in the educational process too (Tomori, 2021). Our investigations are based on a sophisticated mathematical background, adapted for engineering application (Vadászné Bognár, 2003).…”

Section: Figure 1 Schematic Sketch Of the Geometric Definition Of A F...mentioning

confidence: 99%

The influence of the position and shape geometry of the counter-conical motion transmitter pin on the pitch fluctuation of the spiroid worm machined with adjusted shaft

Balajti

Mándy²

2022

MDT

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The difference between the mathematical defined shape of the conical helicoid surface and the operating surface of the spiroid worm produced with axis adjustment on a thread grinding machine results – among other things –in thread pitch fluctuation. During the manufacturing of conical helicoid surfaces the transmission of the rotation from the main spindle to the worm shaft can be realised by a driving pin and an adjusted lathe dog. This article deals with the examination of the fluctuation of the thread pitch parameter occurring when using a counter-conical drive pin. The fluctuation is described here as a function of the position and the shape geometry of the drive pin.

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“…However, since there is no solution that is favorable from all aspects at the same time for the selection of the profile shift coefficients, the basis of the decision is always a careful consideration of the operating conditions and the expected damages. However, with appropriate objective functions, it is possible to take into account several aspects at the same time to choose the profile shift coefficient, including the suitable lubricating film thickness, linear wear, gear tooth bending stress, and Hertzian stress, which affect tooth damage and operating conditions [44].…”

Section: Introductionmentioning

confidence: 99%

Challenges of Engineering Applications of Descriptive Geometry

Balajti

2023

Symmetry

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Descriptive geometry has indispensable applications in many engineering activities. A summary of these is provided in the first chapter of this paper, preceded by a brief introduction into the methods of representation and mathematical recognition related to our research area, such as projection perpendicular to a single plane, projection images created by perpendicular projection onto two mutually perpendicular image planes, but placed on one plane, including the research of curves and movements, visual representation and perception relying on a mathematical approach, and studies on toothed driving pairs and tool geometry in order to place the development presented here among them. As a result of the continuous variability of the technological environment according to various optimization aspects, the engineering activities must also be continuously adapted to the changes, for which an appropriate approach and formulation are required from the practitioners of descriptive geometry, and can even lead to improvement in the field of descriptive geometry. The imaging procedures are always based on the methods and theorems of descriptive geometry. Our aim was to examine the spatial variation in the wear of the tool edge and the machining of the components of toothed drive pairs using two cameras. Resolving contradictions in spatial geometry reconstruction research is a constant challenge, to which a possible answer in many cases is the searching for the right projection direction, and positioning cameras appropriately. A special method of enumerating the possible infinite viewpoints for the reconstruction of tool surface edge curves is presented in the second part of this paper. In the case of the monitoring the shape geometry, taking into account the interchangeability of the projection directions, i.e., the property of symmetry, all images made from two perpendicular directions were taken into account. The procedure for determining the correct directions in a mathematically exact way is also presented through examples. A new criterion was formulated for the tested tooth edge of the hob to take into account the shading of the tooth next to it. The analysis and some of the results of the Monge mapping, suitable for the solution of a mechanical engineering task to be solved in a specific technical environment, namely defining the conditions for camera placements that ensure reconstructibility are also presented. Taking physical shadowing into account, conclusions can be drawn about the degree of distortion of the machined surface from the spatial deformation of the edge curve of the tool reconstructed with correctly positioned cameras.

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An Optimal Choice of Profile Shift Coefficients for Spur Gears

Cited by 4 publications

References 13 publications

Selection of Optimal Profile Shift Coefficients in Terms of Bending Stress for Spur Gears

Selection of Optimal Profile Shift Coefficients in Terms of Bending Stress for Spur Gears

The influence of the position and shape geometry of the counter-conical motion transmitter pin on the pitch fluctuation of the spiroid worm machined with adjusted shaft

Challenges of Engineering Applications of Descriptive Geometry

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