Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset

Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performance...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Liu, Guang-Lei [verfasserIn] Li, De-Geng Wang, Le-Yun

Format:	Artikel
Sprache:	Englisch

Erschienen:	2015

Rechteinformationen:	Nutzungsrecht: © 2014 Taylor & Francis 2014

Schlagwörter:	manufacturing parameters real tooth surfaces discrete tooth contact analysis spiral bevel gears tooth surface scanning Gears Manufacturing Variables Machine tools Reverse engineering Optimization

Übergeordnetes Werk:	Enthalten in: Inverse problems in science and engineering - Abingdon : Taylor & Francis, 2004, 23(2015), 2, Seite 214-234
Übergeordnetes Werk:	volume:23 ; year:2015 ; number:2 ; pages:214-234

Links:	Volltext Link aufrufen Link aufrufen

DOI / URN:	10.1080/17415977.2014.890613

Katalog-ID:	OLC1960152394

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520			\|a Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques.
540			\|a Nutzungsrecht: © 2014 Taylor & Francis 2014
650		4	\|a manufacturing parameters
650		4	\|a real tooth surfaces
650		4	\|a discrete tooth contact analysis
650		4	\|a spiral bevel gears
650		4	\|a tooth surface scanning
650		4	\|a Gears
650		4	\|a Manufacturing
650		4	\|a Variables
650		4	\|a Machine tools
650		4	\|a Reverse engineering
650		4	\|a Optimization
700	1		\|a Li, De-Geng \|4 oth
700	1		\|a Wang, Le-Yun \|4 oth
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allfields	10.1080/17415977.2014.890613 doi PQ20160617 (DE-627)OLC1960152394 (DE-599)GBVOLC1960152394 (PRQ)c2393-568a4f8754b370d6d425bf39d8109954b161af60b7e589d5767a5d71385cb5af0 (KEY)0278195620150000023000200214reconstructionofrealtoothsurfacesofspiralbevelpini DE-627 ger DE-627 rakwb eng 004 ZDB 50.03 bkl Liu, Guang-Lei verfasserin aut Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques. Nutzungsrecht: © 2014 Taylor & Francis 2014 manufacturing parameters real tooth surfaces discrete tooth contact analysis spiral bevel gears tooth surface scanning Gears Manufacturing Variables Machine tools Reverse engineering Optimization Li, De-Geng oth Wang, Le-Yun oth Enthalten in Inverse problems in science and engineering Abingdon : Taylor & Francis, 2004 23(2015), 2, Seite 214-234 (DE-627)385350805 (DE-600)2142987-X (DE-576)9385350803 1741-5977 nnns volume:23 year:2015 number:2 pages:214-234 http://dx.doi.org/10.1080/17415977.2014.890613 Volltext http://www.tandfonline.com/doi/abs/10.1080/17415977.2014.890613 http://search.proquest.com/docview/1640742596 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 50.03 AVZ AR 23 2015 2 214-234
spelling	10.1080/17415977.2014.890613 doi PQ20160617 (DE-627)OLC1960152394 (DE-599)GBVOLC1960152394 (PRQ)c2393-568a4f8754b370d6d425bf39d8109954b161af60b7e589d5767a5d71385cb5af0 (KEY)0278195620150000023000200214reconstructionofrealtoothsurfacesofspiralbevelpini DE-627 ger DE-627 rakwb eng 004 ZDB 50.03 bkl Liu, Guang-Lei verfasserin aut Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques. Nutzungsrecht: © 2014 Taylor & Francis 2014 manufacturing parameters real tooth surfaces discrete tooth contact analysis spiral bevel gears tooth surface scanning Gears Manufacturing Variables Machine tools Reverse engineering Optimization Li, De-Geng oth Wang, Le-Yun oth Enthalten in Inverse problems in science and engineering Abingdon : Taylor & Francis, 2004 23(2015), 2, Seite 214-234 (DE-627)385350805 (DE-600)2142987-X (DE-576)9385350803 1741-5977 nnns volume:23 year:2015 number:2 pages:214-234 http://dx.doi.org/10.1080/17415977.2014.890613 Volltext http://www.tandfonline.com/doi/abs/10.1080/17415977.2014.890613 http://search.proquest.com/docview/1640742596 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 50.03 AVZ AR 23 2015 2 214-234
allfields_unstemmed	10.1080/17415977.2014.890613 doi PQ20160617 (DE-627)OLC1960152394 (DE-599)GBVOLC1960152394 (PRQ)c2393-568a4f8754b370d6d425bf39d8109954b161af60b7e589d5767a5d71385cb5af0 (KEY)0278195620150000023000200214reconstructionofrealtoothsurfacesofspiralbevelpini DE-627 ger DE-627 rakwb eng 004 ZDB 50.03 bkl Liu, Guang-Lei verfasserin aut Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques. Nutzungsrecht: © 2014 Taylor & Francis 2014 manufacturing parameters real tooth surfaces discrete tooth contact analysis spiral bevel gears tooth surface scanning Gears Manufacturing Variables Machine tools Reverse engineering Optimization Li, De-Geng oth Wang, Le-Yun oth Enthalten in Inverse problems in science and engineering Abingdon : Taylor & Francis, 2004 23(2015), 2, Seite 214-234 (DE-627)385350805 (DE-600)2142987-X (DE-576)9385350803 1741-5977 nnns volume:23 year:2015 number:2 pages:214-234 http://dx.doi.org/10.1080/17415977.2014.890613 Volltext http://www.tandfonline.com/doi/abs/10.1080/17415977.2014.890613 http://search.proquest.com/docview/1640742596 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 50.03 AVZ AR 23 2015 2 214-234
allfieldsGer	10.1080/17415977.2014.890613 doi PQ20160617 (DE-627)OLC1960152394 (DE-599)GBVOLC1960152394 (PRQ)c2393-568a4f8754b370d6d425bf39d8109954b161af60b7e589d5767a5d71385cb5af0 (KEY)0278195620150000023000200214reconstructionofrealtoothsurfacesofspiralbevelpini DE-627 ger DE-627 rakwb eng 004 ZDB 50.03 bkl Liu, Guang-Lei verfasserin aut Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques. Nutzungsrecht: © 2014 Taylor & Francis 2014 manufacturing parameters real tooth surfaces discrete tooth contact analysis spiral bevel gears tooth surface scanning Gears Manufacturing Variables Machine tools Reverse engineering Optimization Li, De-Geng oth Wang, Le-Yun oth Enthalten in Inverse problems in science and engineering Abingdon : Taylor & Francis, 2004 23(2015), 2, Seite 214-234 (DE-627)385350805 (DE-600)2142987-X (DE-576)9385350803 1741-5977 nnns volume:23 year:2015 number:2 pages:214-234 http://dx.doi.org/10.1080/17415977.2014.890613 Volltext http://www.tandfonline.com/doi/abs/10.1080/17415977.2014.890613 http://search.proquest.com/docview/1640742596 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 50.03 AVZ AR 23 2015 2 214-234
allfieldsSound	10.1080/17415977.2014.890613 doi PQ20160617 (DE-627)OLC1960152394 (DE-599)GBVOLC1960152394 (PRQ)c2393-568a4f8754b370d6d425bf39d8109954b161af60b7e589d5767a5d71385cb5af0 (KEY)0278195620150000023000200214reconstructionofrealtoothsurfacesofspiralbevelpini DE-627 ger DE-627 rakwb eng 004 ZDB 50.03 bkl Liu, Guang-Lei verfasserin aut Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques. Nutzungsrecht: © 2014 Taylor & Francis 2014 manufacturing parameters real tooth surfaces discrete tooth contact analysis spiral bevel gears tooth surface scanning Gears Manufacturing Variables Machine tools Reverse engineering Optimization Li, De-Geng oth Wang, Le-Yun oth Enthalten in Inverse problems in science and engineering Abingdon : Taylor & Francis, 2004 23(2015), 2, Seite 214-234 (DE-627)385350805 (DE-600)2142987-X (DE-576)9385350803 1741-5977 nnns volume:23 year:2015 number:2 pages:214-234 http://dx.doi.org/10.1080/17415977.2014.890613 Volltext http://www.tandfonline.com/doi/abs/10.1080/17415977.2014.890613 http://search.proquest.com/docview/1640742596 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 50.03 AVZ AR 23 2015 2 214-234
language	English
source	Enthalten in Inverse problems in science and engineering 23(2015), 2, Seite 214-234 volume:23 year:2015 number:2 pages:214-234
sourceStr	Enthalten in Inverse problems in science and engineering 23(2015), 2, Seite 214-234 volume:23 year:2015 number:2 pages:214-234
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	manufacturing parameters real tooth surfaces discrete tooth contact analysis spiral bevel gears tooth surface scanning Gears Manufacturing Variables Machine tools Reverse engineering Optimization
dewey-raw	004
isfreeaccess_bool	false
container_title	Inverse problems in science and engineering
authorswithroles_txt_mv	Liu, Guang-Lei @@aut@@ Li, De-Geng @@oth@@ Wang, Le-Yun @@oth@@
publishDateDaySort_date	2015-01-01T00:00:00Z
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In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. 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author	Liu, Guang-Lei
spellingShingle	Liu, Guang-Lei ddc 004 bkl 50.03 misc manufacturing parameters misc real tooth surfaces misc discrete tooth contact analysis misc spiral bevel gears misc tooth surface scanning misc Gears misc Manufacturing misc Variables misc Machine tools misc Reverse engineering misc Optimization Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset
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topic_title	004 ZDB 50.03 bkl Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset manufacturing parameters real tooth surfaces discrete tooth contact analysis spiral bevel gears tooth surface scanning Gears Manufacturing Variables Machine tools Reverse engineering Optimization
topic	ddc 004 bkl 50.03 misc manufacturing parameters misc real tooth surfaces misc discrete tooth contact analysis misc spiral bevel gears misc tooth surface scanning misc Gears misc Manufacturing misc Variables misc Machine tools misc Reverse engineering misc Optimization
topic_unstemmed	ddc 004 bkl 50.03 misc manufacturing parameters misc real tooth surfaces misc discrete tooth contact analysis misc spiral bevel gears misc tooth surface scanning misc Gears misc Manufacturing misc Variables misc Machine tools misc Reverse engineering misc Optimization
topic_browse	ddc 004 bkl 50.03 misc manufacturing parameters misc real tooth surfaces misc discrete tooth contact analysis misc spiral bevel gears misc tooth surface scanning misc Gears misc Manufacturing misc Variables misc Machine tools misc Reverse engineering misc Optimization
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title	Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset
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title_full	Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset
author_sort	Liu, Guang-Lei
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title_sort	reconstruction of real tooth surfaces of spiral bevel pinions with modified offset
title_auth	Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset
abstract	Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques.
abstractGer	Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques.
abstract_unstemmed	Reverse engineering has been successfully applied in many fields; however, it is not the case for spiral bevel gears. In order to reconstruct the real tooth surfaces of spiral bevel pinions based on the original tooth surface grids (OTSG) provided by coordinate measuring machine, meshing performances were achieved by tooth surface scanning method. Three meshing conditions necessary for local synthesis, i.e. the directional angle, the magnitude of major axis of contact ellipse and the second derivative of transmission errors at the mean contact point, were filtered from the meshing performances obtained by discrete tooth contact analysis. Computational tooth surface grids (CTSG), corresponding to OTSG node to node, were expressed by manufacturing parameters derived by local synthesis. Tooth surface grid difference was formed by making the centre node of CTSG through rotation operation coincided with that of OTSG. Optimization objective was built up by summing up the deviations of all nodes on either OTSG or CTSG. The three meshing conditions, the mean contact point position and the higher order coefficients of blank offset correction were taken as the design variables. The internal function fminsearch of MATLAB was chosen to minimize the tooth surface grid difference. After the manufacturing parameters were achieved, the pinion tooth surfaces were reconstructed based on the reversed CTSG. A zerol spiral bevel pinion in an aviation engine accessory gear box was employed to demonstrate the proposed methodology. The results show that OTSG is unable to give perfect meshing performance. The convergent results of reversing show that many of the field of distance between the reversed CTSG and OTSG is less than 1 μm. This demonstrates the feasibility of the proposed reversing techniques.
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title_short	Reconstruction of real tooth surfaces of spiral bevel pinions with modified offset
url	http://dx.doi.org/10.1080/17415977.2014.890613 http://www.tandfonline.com/doi/abs/10.1080/17415977.2014.890613 http://search.proquest.com/docview/1640742596
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up_date	2024-07-03T20:15:35.805Z
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