The extension of the general mathematical model developed for helicoidal surfaces to the whole system of manufacturing technology and production geometry (ProMAT)

Dudás, Illés

doi:10.1007/s00170-015-8233-5

Cited by 12 publications

(9 citation statements)

References 3 publications

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“…of the worm is made as a result of a rotation and linear movements at the same time during the worm production. The K 1R (x 1R , y 1R , z 1R ) rotating coordinate system related to the worm on which the worm can be rotated [1,2,[5][6][7][8]10,14,[21][22][23].…”

Section: Determination Of the Contact Points By Mathematical Waymentioning

confidence: 99%

“…Taking into consideration the correlation between the velocity vectors of the relative movement in K 1R and K 2R coordinate systems [1,2,[5][6][7][8]10,14,[21][22][23]…”

Section: Determination Of the Contact Points By Mathematical Waymentioning

confidence: 99%

“…The contact points mutually covering each other on the tooth connection zone can be determined by solving the connection equation À which expresses the 1st Law of Contact À and the vector-scalar function simultaneously [1,2,[5][6][7][8]10,14,[21][22][23]:…”

Section: Determination Of the Contact Points By Mathematical Waymentioning

confidence: 99%

“…A complex mathematical model was developed for every worm gear drive and the production of them. This model is also suitable for analysis of different manufacturing technologies [14].…”

Section: Introductionmentioning

confidence: 99%

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Designing and loaded tooth contact analysis of an Archimedean worm gear drive focusing for the connecting teeth of the worm wheel by loaded torques

Bodzás

2020

Mechanics & Industry

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The cylindrical worm gear drives are widely used in different mechanical construction such as in the vehicle industry, the robotics, the medical appliances etc. The main property of them is the perpendicular and space bypass axes arrangement. Quite high transmission ratio could be achieved because of the high number of teeth of the worm-wheel and a little number of threads of the worm. More teeth are connected on the worm-wheel at the same time that is why higher loads and power could be transferred. In this research an Archimedean type cylindrical worm gear drive was designed. After the determination of the geometric parameters the computer-aided models were created for the LTCA analysis. Knowing of the kinematic motions of the elements the contact points of the wrapping surfaces could be determined by mathematical way. The necessary coordinate system's arrangements and matrixes were also determined. Different torques were applied during the LTCA. The changing of the distribution of the normal stress and normal deformation into different directions was followed on each connecting tooth of the worm-wheel by the torques. Based on the results consequences were determined by the created diagrams which contain the torques and the analysed mechanical parameter for each tooth.

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Section: Determination Of the Contact Points By Mathematical Waymentioning

confidence: 99%

“…Taking into consideration the correlation between the velocity vectors of the relative movement in K 1R and K 2R coordinate systems [1,2,[5][6][7][8]10,14,[21][22][23]…”

Section: Determination Of the Contact Points By Mathematical Waymentioning

confidence: 99%

Section: Determination Of the Contact Points By Mathematical Waymentioning

confidence: 99%

“…A complex mathematical model was developed for every worm gear drive and the production of them. This model is also suitable for analysis of different manufacturing technologies [14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Designing and loaded tooth contact analysis of an Archimedean worm gear drive focusing for the connecting teeth of the worm wheel by loaded torques

Bodzás

2020

Mechanics & Industry

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“…One of the highlighted research topics of the Worm Scientific School operating in the Difi-CAD Engineering Office, which has a cooperation agreement with the University of Miskolc, is the continuous further development of the production geometry of the worm gear drives (Dudás, 2016). The University of Miskolc previously carried out in joint research with Nagaoka University of Technology (Japan) through the Worm Scientific School on measuring tool wear with a CCD camera, which among other things also resulted in publications on grinding wheel profile wear (Varga et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

Analysis of the mathematical correlation between post-sharped hob and worm gear tooth surface

Ábel

2021

MDT

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The production geometry development of the worm gear drives with circle arched profile in axial section requires the combined management of complex mathematical, geometric and manufacturing knowledge. In this paper has been presented an analysis of the relation between the post-sharpening of the cylindrical hob with circle arched profile in axial section and gear tooth surface error according to the functions determined by previous research work, that fits to the Dudás type ProMAT general mathematical model, which is suitable for the analysis of technological processes in manufacturing. During the research the extension of this method to any type of worm gear drives has been aspired.

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The Monge theorem and its application in engineering practice

Balajti

Dudás

2016

Int J Adv Manuf Technol

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The extension of the general mathematical model developed for helicoidal surfaces to the whole system of manufacturing technology and production geometry (ProMAT)

Cited by 12 publications

References 3 publications

Designing and loaded tooth contact analysis of an Archimedean worm gear drive focusing for the connecting teeth of the worm wheel by loaded torques

Designing and loaded tooth contact analysis of an Archimedean worm gear drive focusing for the connecting teeth of the worm wheel by loaded torques

Analysis of the mathematical correlation between post-sharped hob and worm gear tooth surface

The Monge theorem and its application in engineering practice

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