Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth

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GOLDSCHMIDTBOEING, Frank ;DOLL, Alexander ;STOERKEL, Ulrich ;NEISS, Sebastian ;WOIAS, Peter .
Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 60, n.7-8, p. 449-461, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/comparison-of-vertical-and-inclined-toothbrush-filaments-impact-on-shear-force-and-penetration-depth/>. Date accessed: 19 apr. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2013.1513.
Goldschmidtboeing, F., Doll, A., Stoerkel, U., Neiss, S., & Woias, P.
(2014).
Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth.
Strojniški vestnik - Journal of Mechanical Engineering, 60(7-8), 449-461.
doi:http://dx.doi.org/10.5545/sv-jme.2013.1513
@article{sv-jmesv-jme.2013.1513,
	author = {Frank  Goldschmidtboeing and Alexander  Doll and Ulrich  Stoerkel and Sebastian  Neiss and Peter  Woias},
	title = {Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {60},
	number = {7-8},
	year = {2014},
	keywords = {vertical and inclined toothbrush filaments; shear forces; penetration depth;  power toothbrush; mechanical plaque removal; oscillating-rotating technology},
	abstract = {This paper presents a semi-analytical model to describe the action of vertical and 16°-inclined toothbrush filaments onto flat tooth surfaces and into approximal areas. The theory is based on the analytical solution of the beam equation about normal and transversal (shear) forces that deform the filaments. A 15% increase of penetration depth (approximal area model) and a 60% increase of transversal force (tooth surface model) for an inclination angle of 16° compared to a vertical filament were determined. Furthermore, that 16°-inclined filaments are able to transfer higher shear forces to the tooth compared to vertical ones was shown experimentally, which could account for the higher efficiency of plaque removal by inclined filaments compared to vertical filaments. The theoretical findings for manual and oscillating-rotating toothbrushes are discussed, and implications for their design are drawn.},
	issn = {0039-2480},	pages = {449-461},	doi = {10.5545/sv-jme.2013.1513},
	url = {https://www.sv-jme.eu/article/comparison-of-vertical-and-inclined-toothbrush-filaments-impact-on-shear-force-and-penetration-depth/}
}
Goldschmidtboeing, F.,Doll, A.,Stoerkel, U.,Neiss, S.,Woias, P.
2014 June 60. Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 60:7-8
%A Goldschmidtboeing, Frank 
%A Doll, Alexander 
%A Stoerkel, Ulrich 
%A Neiss, Sebastian 
%A Woias, Peter 
%D 2014
%T Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth
%B 2014
%9 vertical and inclined toothbrush filaments; shear forces; penetration depth;  power toothbrush; mechanical plaque removal; oscillating-rotating technology
%! Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth
%K vertical and inclined toothbrush filaments; shear forces; penetration depth;  power toothbrush; mechanical plaque removal; oscillating-rotating technology
%X This paper presents a semi-analytical model to describe the action of vertical and 16°-inclined toothbrush filaments onto flat tooth surfaces and into approximal areas. The theory is based on the analytical solution of the beam equation about normal and transversal (shear) forces that deform the filaments. A 15% increase of penetration depth (approximal area model) and a 60% increase of transversal force (tooth surface model) for an inclination angle of 16° compared to a vertical filament were determined. Furthermore, that 16°-inclined filaments are able to transfer higher shear forces to the tooth compared to vertical ones was shown experimentally, which could account for the higher efficiency of plaque removal by inclined filaments compared to vertical filaments. The theoretical findings for manual and oscillating-rotating toothbrushes are discussed, and implications for their design are drawn.
%U https://www.sv-jme.eu/article/comparison-of-vertical-and-inclined-toothbrush-filaments-impact-on-shear-force-and-penetration-depth/
%0 Journal Article
%R 10.5545/sv-jme.2013.1513
%& 449
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 60
%N 7-8
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28
Goldschmidtboeing, Frank, Alexander  Doll, Ulrich  Stoerkel, Sebastian  Neiss, & Peter  Woias.
"Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth." Strojniški vestnik - Journal of Mechanical Engineering [Online], 60.7-8 (2014): 449-461. Web.  19 Apr. 2024
TY  - JOUR
AU  - Goldschmidtboeing, Frank 
AU  - Doll, Alexander 
AU  - Stoerkel, Ulrich 
AU  - Neiss, Sebastian 
AU  - Woias, Peter 
PY  - 2014
TI  - Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2013.1513
KW  - vertical and inclined toothbrush filaments; shear forces; penetration depth;  power toothbrush; mechanical plaque removal; oscillating-rotating technology
N2  - This paper presents a semi-analytical model to describe the action of vertical and 16°-inclined toothbrush filaments onto flat tooth surfaces and into approximal areas. The theory is based on the analytical solution of the beam equation about normal and transversal (shear) forces that deform the filaments. A 15% increase of penetration depth (approximal area model) and a 60% increase of transversal force (tooth surface model) for an inclination angle of 16° compared to a vertical filament were determined. Furthermore, that 16°-inclined filaments are able to transfer higher shear forces to the tooth compared to vertical ones was shown experimentally, which could account for the higher efficiency of plaque removal by inclined filaments compared to vertical filaments. The theoretical findings for manual and oscillating-rotating toothbrushes are discussed, and implications for their design are drawn.
UR  - https://www.sv-jme.eu/article/comparison-of-vertical-and-inclined-toothbrush-filaments-impact-on-shear-force-and-penetration-depth/
@article{{sv-jme}{sv-jme.2013.1513},
	author = {Goldschmidtboeing, F., Doll, A., Stoerkel, U., Neiss, S., Woias, P.},
	title = {Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {60},
	number = {7-8},
	year = {2014},
	doi = {10.5545/sv-jme.2013.1513},
	url = {https://www.sv-jme.eu/article/comparison-of-vertical-and-inclined-toothbrush-filaments-impact-on-shear-force-and-penetration-depth/}
}
TY  - JOUR
AU  - Goldschmidtboeing, Frank 
AU  - Doll, Alexander 
AU  - Stoerkel, Ulrich 
AU  - Neiss, Sebastian 
AU  - Woias, Peter 
PY  - 2018/06/28
TI  - Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 60, No 7-8 (2014): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2013.1513
KW  - vertical and inclined toothbrush filaments, shear forces, penetration depth,  power toothbrush, mechanical plaque removal, oscillating-rotating technology
N2  - This paper presents a semi-analytical model to describe the action of vertical and 16°-inclined toothbrush filaments onto flat tooth surfaces and into approximal areas. The theory is based on the analytical solution of the beam equation about normal and transversal (shear) forces that deform the filaments. A 15% increase of penetration depth (approximal area model) and a 60% increase of transversal force (tooth surface model) for an inclination angle of 16° compared to a vertical filament were determined. Furthermore, that 16°-inclined filaments are able to transfer higher shear forces to the tooth compared to vertical ones was shown experimentally, which could account for the higher efficiency of plaque removal by inclined filaments compared to vertical filaments. The theoretical findings for manual and oscillating-rotating toothbrushes are discussed, and implications for their design are drawn.
UR  - https://www.sv-jme.eu/article/comparison-of-vertical-and-inclined-toothbrush-filaments-impact-on-shear-force-and-penetration-depth/
Goldschmidtboeing, Frank, Doll, Alexander, Stoerkel, Ulrich, Neiss, Sebastian, AND Woias, Peter.
"Comparison of Vertical and Inclined Toothbrush Filaments: Impact on Shear Force and Penetration Depth" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 60 Number 7-8 (28 June 2018)

Authors

Affiliations

  • University of Freiburg, Department for Microsystems Technology, Germany 1
  • Procter & Gamble Manufacturing GmbH, Oral-B Laboratories, Germany 2

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 60(2014)7-8, 449-461
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

https://doi.org/10.5545/sv-jme.2013.1513

This paper presents a semi-analytical model to describe the action of vertical and 16°-inclined toothbrush filaments onto flat tooth surfaces and into approximal areas. The theory is based on the analytical solution of the beam equation about normal and transversal (shear) forces that deform the filaments. A 15% increase of penetration depth (approximal area model) and a 60% increase of transversal force (tooth surface model) for an inclination angle of 16° compared to a vertical filament were determined. Furthermore, that 16°-inclined filaments are able to transfer higher shear forces to the tooth compared to vertical ones was shown experimentally, which could account for the higher efficiency of plaque removal by inclined filaments compared to vertical filaments. The theoretical findings for manual and oscillating-rotating toothbrushes are discussed, and implications for their design are drawn.

vertical and inclined toothbrush filaments; shear forces; penetration depth; power toothbrush; mechanical plaque removal; oscillating-rotating technology