Parametric Quasi-Static Study of the Effect of Misalignments on the Path of Contact, Transmission Error, and Contact Pressure of Crowned Spur and Helical Gear Teeth Using a Novel Rapidly Convergent Method

Maksat Temirkhan; Hamza Bin Tariq; Konstantinos Kaloudis; Christos Kalligeros; Vasilios Spitas; Christos Spitas

doi:10.3390/app121910067

Parametric Quasi-Static Study of the Effect of Misalignments on the Path of Contact, Transmission Error, and Contact Pressure of Crowned Spur and Helical Gear Teeth Using a Novel Rapidly Convergent Method

Maksat Temirkhan, Hamza Bin Tariq, Konstantinos Kaloudis, Christos Kalligeros, Vasilios Spitas, Christos Spitas

Research output: Journal Publication › Article › peer-review

9 Citations (Scopus)

Abstract

Quasi-static modelling of non-conjugate contact of tooth-modified spur and helical gears has been studied at length, but existing models are hindered by convergence problems and require a brute-force numerical approach. Here, a novel, computationally efficient, and stable and unconditionally convergent model is developed for non-conjugate tooth contact in three dimensions and applied to crowned spur and helical gears to assess parametrically the sensitivity of various in- and out-of-plane misalignments on the path of contact, transmission error, and contact pressure. Performance metrics are defined, and comparisons are made between three different crowning modification functions.

Original language	English
Article number	10067
Journal	Applied Sciences (Switzerland)
Volume	12
Issue number	19
DOIs	https://doi.org/10.3390/app121910067
Publication status	Published - Oct 2022
Externally published	Yes

Keywords

crowning
gear contact
helical gear
misalignment
novel convergent method
spur gear

ASJC Scopus subject areas

General Materials Science
Instrumentation
General Engineering
Process Chemistry and Technology
Computer Science Applications
Fluid Flow and Transfer Processes

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10.3390/app121910067

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Temirkhan, M., Tariq, H. B., Kaloudis, K., Kalligeros, C., Spitas, V., & Spitas, C. (2022). Parametric Quasi-Static Study of the Effect of Misalignments on the Path of Contact, Transmission Error, and Contact Pressure of Crowned Spur and Helical Gear Teeth Using a Novel Rapidly Convergent Method. Applied Sciences (Switzerland), 12(19), Article 10067. https://doi.org/10.3390/app121910067

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title = "Parametric Quasi-Static Study of the Effect of Misalignments on the Path of Contact, Transmission Error, and Contact Pressure of Crowned Spur and Helical Gear Teeth Using a Novel Rapidly Convergent Method",

abstract = "Quasi-static modelling of non-conjugate contact of tooth-modified spur and helical gears has been studied at length, but existing models are hindered by convergence problems and require a brute-force numerical approach. Here, a novel, computationally efficient, and stable and unconditionally convergent model is developed for non-conjugate tooth contact in three dimensions and applied to crowned spur and helical gears to assess parametrically the sensitivity of various in- and out-of-plane misalignments on the path of contact, transmission error, and contact pressure. Performance metrics are defined, and comparisons are made between three different crowning modification functions.",

keywords = "crowning, gear contact, helical gear, misalignment, novel convergent method, spur gear",

author = "Maksat Temirkhan and Tariq, {Hamza Bin} and Konstantinos Kaloudis and Christos Kalligeros and Vasilios Spitas and Christos Spitas",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors.",

year = "2022",

month = oct,

doi = "10.3390/app121910067",

language = "English",

volume = "12",

journal = "Applied Sciences (Switzerland)",

issn = "2076-3417",

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Temirkhan, M, Tariq, HB, Kaloudis, K, Kalligeros, C, Spitas, V & Spitas, C 2022, 'Parametric Quasi-Static Study of the Effect of Misalignments on the Path of Contact, Transmission Error, and Contact Pressure of Crowned Spur and Helical Gear Teeth Using a Novel Rapidly Convergent Method', Applied Sciences (Switzerland), vol. 12, no. 19, 10067. https://doi.org/10.3390/app121910067

Parametric Quasi-Static Study of the Effect of Misalignments on the Path of Contact, Transmission Error, and Contact Pressure of Crowned Spur and Helical Gear Teeth Using a Novel Rapidly Convergent Method. / Temirkhan, Maksat; Tariq, Hamza Bin; Kaloudis, Konstantinos et al.
In: Applied Sciences (Switzerland), Vol. 12, No. 19, 10067, 10.2022.

Research output: Journal Publication › Article › peer-review

TY - JOUR

T1 - Parametric Quasi-Static Study of the Effect of Misalignments on the Path of Contact, Transmission Error, and Contact Pressure of Crowned Spur and Helical Gear Teeth Using a Novel Rapidly Convergent Method

AU - Temirkhan, Maksat

AU - Tariq, Hamza Bin

AU - Kaloudis, Konstantinos

AU - Kalligeros, Christos

AU - Spitas, Vasilios

AU - Spitas, Christos

PY - 2022/10

Y1 - 2022/10

N2 - Quasi-static modelling of non-conjugate contact of tooth-modified spur and helical gears has been studied at length, but existing models are hindered by convergence problems and require a brute-force numerical approach. Here, a novel, computationally efficient, and stable and unconditionally convergent model is developed for non-conjugate tooth contact in three dimensions and applied to crowned spur and helical gears to assess parametrically the sensitivity of various in- and out-of-plane misalignments on the path of contact, transmission error, and contact pressure. Performance metrics are defined, and comparisons are made between three different crowning modification functions.

AB - Quasi-static modelling of non-conjugate contact of tooth-modified spur and helical gears has been studied at length, but existing models are hindered by convergence problems and require a brute-force numerical approach. Here, a novel, computationally efficient, and stable and unconditionally convergent model is developed for non-conjugate tooth contact in three dimensions and applied to crowned spur and helical gears to assess parametrically the sensitivity of various in- and out-of-plane misalignments on the path of contact, transmission error, and contact pressure. Performance metrics are defined, and comparisons are made between three different crowning modification functions.

KW - crowning

KW - gear contact

KW - helical gear

KW - misalignment

KW - novel convergent method

KW - spur gear

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U2 - 10.3390/app121910067

DO - 10.3390/app121910067

M3 - Article

AN - SCOPUS:85139774163

SN - 2076-3417

VL - 12

JO - Applied Sciences (Switzerland)

JF - Applied Sciences (Switzerland)

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ER -

Parametric Quasi-Static Study of the Effect of Misalignments on the Path of Contact, Transmission Error, and Contact Pressure of Crowned Spur and Helical Gear Teeth Using a Novel Rapidly Convergent Method

Abstract

Keywords

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