Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models

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KIEKBUSCH, Timo ;SAPPOK, Daniel ;SAUER, Bernd ;HOWARD, Ian .
Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 57, n.11, p. 810-818, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/calculation-of-the-combined-torsional-mesh-stiffness-of-spur-gears-with-two-and-three-dimensional-parametrical-fe-models/>. Date accessed: 13 dec. 2018. 
doi:http://dx.doi.org/10.5545/sv-jme.2010.248.
Kiekbusch, T., Sappok, D., Sauer, B., & Howard, I.
(2011).
Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models.
Strojniški vestnik - Journal of Mechanical Engineering, 57(11), 810-818.
doi:http://dx.doi.org/10.5545/sv-jme.2010.248
@article{sv-jmesv-jme.2010.248,
	author = {Timo  Kiekbusch and Daniel  Sappok and Bernd  Sauer and Ian  Howard},
	title = {Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {11},
	year = {2011},
	keywords = {gear dynamic modelling; spur gear; finite element modelling; torsional mesh stiffness; contact stiffness},
	abstract = {The torsional mesh stiffness is one of the most important characteristics of spur gears. This paper presents the development of detailed two- and three-dimensional finite element models which can be used to calculate the torsional mesh stiffness. Using the parametrical design language of the FE software ANSYS the models offer the possibility to generate various different pairs of spur gears and include an adaptive meshing algorithm for the contact zones. Due to the short computation times the 2D model is well suited to simulate a variety of different gear pairs in a short time period. The more complex 3D model features more options in terms of investigating tooth face modifications for further studies. The resulting values of the torsional stiffness can be used – for example – in multi body simulations of gearboxes. The results from the 2D FEA are used to derive a simple formula for the combined torsional stiffness of spur gears in mesh. The results presented are based on the individual stiffness of the three main components – body, teeth and contact. Hence, the introduced formula uses these three parts to determine the overall stiffness for a wide range of gears and gear ratio combinations. Finally, the results from both the two- and three-dimensional finite element model and the derived formula are compared and the results from the 3D model are checked against results obtained by analytical equations.},
	issn = {0039-2480},	pages = {810-818},	doi = {10.5545/sv-jme.2010.248},
	url = {https://www.sv-jme.eu/article/calculation-of-the-combined-torsional-mesh-stiffness-of-spur-gears-with-two-and-three-dimensional-parametrical-fe-models/}
}
Kiekbusch, T.,Sappok, D.,Sauer, B.,Howard, I.
2011 June 57. Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 57:11
%A Kiekbusch, Timo 
%A Sappok, Daniel 
%A Sauer, Bernd 
%A Howard, Ian 
%D 2011
%T Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models
%B 2011
%9 gear dynamic modelling; spur gear; finite element modelling; torsional mesh stiffness; contact stiffness
%! Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models
%K gear dynamic modelling; spur gear; finite element modelling; torsional mesh stiffness; contact stiffness
%X The torsional mesh stiffness is one of the most important characteristics of spur gears. This paper presents the development of detailed two- and three-dimensional finite element models which can be used to calculate the torsional mesh stiffness. Using the parametrical design language of the FE software ANSYS the models offer the possibility to generate various different pairs of spur gears and include an adaptive meshing algorithm for the contact zones. Due to the short computation times the 2D model is well suited to simulate a variety of different gear pairs in a short time period. The more complex 3D model features more options in terms of investigating tooth face modifications for further studies. The resulting values of the torsional stiffness can be used – for example – in multi body simulations of gearboxes. The results from the 2D FEA are used to derive a simple formula for the combined torsional stiffness of spur gears in mesh. The results presented are based on the individual stiffness of the three main components – body, teeth and contact. Hence, the introduced formula uses these three parts to determine the overall stiffness for a wide range of gears and gear ratio combinations. Finally, the results from both the two- and three-dimensional finite element model and the derived formula are compared and the results from the 3D model are checked against results obtained by analytical equations.
%U https://www.sv-jme.eu/article/calculation-of-the-combined-torsional-mesh-stiffness-of-spur-gears-with-two-and-three-dimensional-parametrical-fe-models/
%0 Journal Article
%R 10.5545/sv-jme.2010.248
%& 810
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 57
%N 11
%@ 0039-2480
%8 2018-06-29
%7 2018-06-29
Kiekbusch, Timo, Daniel  Sappok, Bernd  Sauer, & Ian  Howard.
"Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models." Strojniški vestnik - Journal of Mechanical Engineering [Online], 57.11 (2011): 810-818. Web.  13 Dec. 2018
TY  - JOUR
AU  - Kiekbusch, Timo 
AU  - Sappok, Daniel 
AU  - Sauer, Bernd 
AU  - Howard, Ian 
PY  - 2011
TI  - Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2010.248
KW  - gear dynamic modelling; spur gear; finite element modelling; torsional mesh stiffness; contact stiffness
N2  - The torsional mesh stiffness is one of the most important characteristics of spur gears. This paper presents the development of detailed two- and three-dimensional finite element models which can be used to calculate the torsional mesh stiffness. Using the parametrical design language of the FE software ANSYS the models offer the possibility to generate various different pairs of spur gears and include an adaptive meshing algorithm for the contact zones. Due to the short computation times the 2D model is well suited to simulate a variety of different gear pairs in a short time period. The more complex 3D model features more options in terms of investigating tooth face modifications for further studies. The resulting values of the torsional stiffness can be used – for example – in multi body simulations of gearboxes. The results from the 2D FEA are used to derive a simple formula for the combined torsional stiffness of spur gears in mesh. The results presented are based on the individual stiffness of the three main components – body, teeth and contact. Hence, the introduced formula uses these three parts to determine the overall stiffness for a wide range of gears and gear ratio combinations. Finally, the results from both the two- and three-dimensional finite element model and the derived formula are compared and the results from the 3D model are checked against results obtained by analytical equations.
UR  - https://www.sv-jme.eu/article/calculation-of-the-combined-torsional-mesh-stiffness-of-spur-gears-with-two-and-three-dimensional-parametrical-fe-models/
@article{{sv-jme}{sv-jme.2010.248},
	author = {Kiekbusch, T., Sappok, D., Sauer, B., Howard, I.},
	title = {Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {11},
	year = {2011},
	doi = {10.5545/sv-jme.2010.248},
	url = {https://www.sv-jme.eu/article/calculation-of-the-combined-torsional-mesh-stiffness-of-spur-gears-with-two-and-three-dimensional-parametrical-fe-models/}
}
TY  - JOUR
AU  - Kiekbusch, Timo 
AU  - Sappok, Daniel 
AU  - Sauer, Bernd 
AU  - Howard, Ian 
PY  - 2018/06/29
TI  - Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 57, No 11 (2011): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2010.248
KW  - gear dynamic modelling, spur gear, finite element modelling, torsional mesh stiffness, contact stiffness
N2  - The torsional mesh stiffness is one of the most important characteristics of spur gears. This paper presents the development of detailed two- and three-dimensional finite element models which can be used to calculate the torsional mesh stiffness. Using the parametrical design language of the FE software ANSYS the models offer the possibility to generate various different pairs of spur gears and include an adaptive meshing algorithm for the contact zones. Due to the short computation times the 2D model is well suited to simulate a variety of different gear pairs in a short time period. The more complex 3D model features more options in terms of investigating tooth face modifications for further studies. The resulting values of the torsional stiffness can be used – for example – in multi body simulations of gearboxes. The results from the 2D FEA are used to derive a simple formula for the combined torsional stiffness of spur gears in mesh. The results presented are based on the individual stiffness of the three main components – body, teeth and contact. Hence, the introduced formula uses these three parts to determine the overall stiffness for a wide range of gears and gear ratio combinations. Finally, the results from both the two- and three-dimensional finite element model and the derived formula are compared and the results from the 3D model are checked against results obtained by analytical equations.
UR  - https://www.sv-jme.eu/article/calculation-of-the-combined-torsional-mesh-stiffness-of-spur-gears-with-two-and-three-dimensional-parametrical-fe-models/
Kiekbusch, Timo, Sappok, Daniel, Sauer, Bernd, AND Howard, Ian.
"Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 57 Number 11 (29 June 2018)

Authors

Affiliations

  • University of Kaiserslautern, Institute for Machine Elements, Gears and Transmissions
  • University of Kaiserslautern, Institute for Machine Elements, Gears and Transmissions
  • University of Kaiserslautern, Institute for Machine Elements, Gears and Transmissions
  • Curtin University Perth, Department of Mechanical Engineering

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 57(2011)11, 810-818

10.5545/sv-jme.2010.248

The torsional mesh stiffness is one of the most important characteristics of spur gears. This paper presents the development of detailed two- and three-dimensional finite element models which can be used to calculate the torsional mesh stiffness. Using the parametrical design language of the FE software ANSYS the models offer the possibility to generate various different pairs of spur gears and include an adaptive meshing algorithm for the contact zones. Due to the short computation times the 2D model is well suited to simulate a variety of different gear pairs in a short time period. The more complex 3D model features more options in terms of investigating tooth face modifications for further studies. The resulting values of the torsional stiffness can be used – for example – in multi body simulations of gearboxes. The results from the 2D FEA are used to derive a simple formula for the combined torsional stiffness of spur gears in mesh. The results presented are based on the individual stiffness of the three main components – body, teeth and contact. Hence, the introduced formula uses these three parts to determine the overall stiffness for a wide range of gears and gear ratio combinations. Finally, the results from both the two- and three-dimensional finite element model and the derived formula are compared and the results from the 3D model are checked against results obtained by analytical equations.

gear dynamic modelling; spur gear; finite element modelling; torsional mesh stiffness; contact stiffness