Adaptable geometric patterns for five-axis machining: a survey

Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on...
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Autor*in:	Makhanov, Stanislav S. [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	2009

Schlagwörter:	Five-axis machines Multi-axis machines CNC interpolators Tool orientation Curvature interference Rear gouging Solid modeling Pythagorean–hodograph curves Pocket machining Regional milling Space-filling curves for machining Curvilinear grids for machining Navigation approach for machining

Anmerkung:	© Springer-Verlag London Limited 2009

Übergeordnetes Werk:	Enthalten in: The international journal of advanced manufacturing technology - Springer-Verlag, 1985, 47(2009), 9-12 vom: 26. Sept., Seite 1167-1208
Übergeordnetes Werk:	volume:47 ; year:2009 ; number:9-12 ; day:26 ; month:09 ; pages:1167-1208

Links:	Volltext

DOI / URN:	10.1007/s00170-009-2244-z

Katalog-ID:	OLC202602765X

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allfields	10.1007/s00170-009-2244-z doi (DE-627)OLC202602765X (DE-He213)s00170-009-2244-z-p DE-627 ger DE-627 rakwb eng 670 VZ Makhanov, Stanislav S. verfasserin aut Adaptable geometric patterns for five-axis machining: a survey 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Limited 2009 Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on constraint minimization from dynamic systems control theory. Furthermore, a variety of methods based on spline interpolation, NURBS interpolation and Farouki’s Pythagorean–hodograph curves is presented and analyzed. Next, the survey deals with techniques to optimize the positions and orientations of the tool in a particular neighborhood of the part surface. The most important application of these techniques is cutting by a flat-end or a fillet mill while avoiding local overcuts or undercuts due to the curvature interference and rear gouging. This section is supplemented by detection of global interference using visibility cone schemes and their recent modifications and improvements. Solutions offered by solid modeling are presented as well. Finally, adaptable geometric patterns employed for tool path generation are considered and analyzed. The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the offset methods, regional milling, the potential path methods, and clustering. The chapter also presents tool path optimization based on the adaptable curvilinear grids connecting the cutter location points. Finally, navigation approaches and the shortest-path schemes are considered, along with the adaptive space-filling curve algorithms and their combinations with grid generation. Five-axis machines Multi-axis machines CNC interpolators Tool orientation Curvature interference Rear gouging Solid modeling Pythagorean–hodograph curves Pocket machining Regional milling Space-filling curves for machining Curvilinear grids for machining Navigation approach for machining Enthalten in The international journal of advanced manufacturing technology Springer-Verlag, 1985 47(2009), 9-12 vom: 26. Sept., Seite 1167-1208 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:47 year:2009 number:9-12 day:26 month:09 pages:1167-1208 https://doi.org/10.1007/s00170-009-2244-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_21 GBV_ILN_70 GBV_ILN_150 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2241 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4307 AR 47 2009 9-12 26 09 1167-1208
spelling	10.1007/s00170-009-2244-z doi (DE-627)OLC202602765X (DE-He213)s00170-009-2244-z-p DE-627 ger DE-627 rakwb eng 670 VZ Makhanov, Stanislav S. verfasserin aut Adaptable geometric patterns for five-axis machining: a survey 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Limited 2009 Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on constraint minimization from dynamic systems control theory. Furthermore, a variety of methods based on spline interpolation, NURBS interpolation and Farouki’s Pythagorean–hodograph curves is presented and analyzed. Next, the survey deals with techniques to optimize the positions and orientations of the tool in a particular neighborhood of the part surface. The most important application of these techniques is cutting by a flat-end or a fillet mill while avoiding local overcuts or undercuts due to the curvature interference and rear gouging. This section is supplemented by detection of global interference using visibility cone schemes and their recent modifications and improvements. Solutions offered by solid modeling are presented as well. Finally, adaptable geometric patterns employed for tool path generation are considered and analyzed. The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the offset methods, regional milling, the potential path methods, and clustering. The chapter also presents tool path optimization based on the adaptable curvilinear grids connecting the cutter location points. Finally, navigation approaches and the shortest-path schemes are considered, along with the adaptive space-filling curve algorithms and their combinations with grid generation. Five-axis machines Multi-axis machines CNC interpolators Tool orientation Curvature interference Rear gouging Solid modeling Pythagorean–hodograph curves Pocket machining Regional milling Space-filling curves for machining Curvilinear grids for machining Navigation approach for machining Enthalten in The international journal of advanced manufacturing technology Springer-Verlag, 1985 47(2009), 9-12 vom: 26. Sept., Seite 1167-1208 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:47 year:2009 number:9-12 day:26 month:09 pages:1167-1208 https://doi.org/10.1007/s00170-009-2244-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_21 GBV_ILN_70 GBV_ILN_150 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2241 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4307 AR 47 2009 9-12 26 09 1167-1208
allfields_unstemmed	10.1007/s00170-009-2244-z doi (DE-627)OLC202602765X (DE-He213)s00170-009-2244-z-p DE-627 ger DE-627 rakwb eng 670 VZ Makhanov, Stanislav S. verfasserin aut Adaptable geometric patterns for five-axis machining: a survey 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Limited 2009 Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on constraint minimization from dynamic systems control theory. Furthermore, a variety of methods based on spline interpolation, NURBS interpolation and Farouki’s Pythagorean–hodograph curves is presented and analyzed. Next, the survey deals with techniques to optimize the positions and orientations of the tool in a particular neighborhood of the part surface. The most important application of these techniques is cutting by a flat-end or a fillet mill while avoiding local overcuts or undercuts due to the curvature interference and rear gouging. This section is supplemented by detection of global interference using visibility cone schemes and their recent modifications and improvements. Solutions offered by solid modeling are presented as well. Finally, adaptable geometric patterns employed for tool path generation are considered and analyzed. The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the offset methods, regional milling, the potential path methods, and clustering. The chapter also presents tool path optimization based on the adaptable curvilinear grids connecting the cutter location points. Finally, navigation approaches and the shortest-path schemes are considered, along with the adaptive space-filling curve algorithms and their combinations with grid generation. Five-axis machines Multi-axis machines CNC interpolators Tool orientation Curvature interference Rear gouging Solid modeling Pythagorean–hodograph curves Pocket machining Regional milling Space-filling curves for machining Curvilinear grids for machining Navigation approach for machining Enthalten in The international journal of advanced manufacturing technology Springer-Verlag, 1985 47(2009), 9-12 vom: 26. Sept., Seite 1167-1208 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:47 year:2009 number:9-12 day:26 month:09 pages:1167-1208 https://doi.org/10.1007/s00170-009-2244-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_21 GBV_ILN_70 GBV_ILN_150 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2241 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4307 AR 47 2009 9-12 26 09 1167-1208
allfieldsGer	10.1007/s00170-009-2244-z doi (DE-627)OLC202602765X (DE-He213)s00170-009-2244-z-p DE-627 ger DE-627 rakwb eng 670 VZ Makhanov, Stanislav S. verfasserin aut Adaptable geometric patterns for five-axis machining: a survey 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Limited 2009 Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on constraint minimization from dynamic systems control theory. Furthermore, a variety of methods based on spline interpolation, NURBS interpolation and Farouki’s Pythagorean–hodograph curves is presented and analyzed. Next, the survey deals with techniques to optimize the positions and orientations of the tool in a particular neighborhood of the part surface. The most important application of these techniques is cutting by a flat-end or a fillet mill while avoiding local overcuts or undercuts due to the curvature interference and rear gouging. This section is supplemented by detection of global interference using visibility cone schemes and their recent modifications and improvements. Solutions offered by solid modeling are presented as well. Finally, adaptable geometric patterns employed for tool path generation are considered and analyzed. The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the offset methods, regional milling, the potential path methods, and clustering. The chapter also presents tool path optimization based on the adaptable curvilinear grids connecting the cutter location points. Finally, navigation approaches and the shortest-path schemes are considered, along with the adaptive space-filling curve algorithms and their combinations with grid generation. Five-axis machines Multi-axis machines CNC interpolators Tool orientation Curvature interference Rear gouging Solid modeling Pythagorean–hodograph curves Pocket machining Regional milling Space-filling curves for machining Curvilinear grids for machining Navigation approach for machining Enthalten in The international journal of advanced manufacturing technology Springer-Verlag, 1985 47(2009), 9-12 vom: 26. Sept., Seite 1167-1208 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:47 year:2009 number:9-12 day:26 month:09 pages:1167-1208 https://doi.org/10.1007/s00170-009-2244-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_21 GBV_ILN_70 GBV_ILN_150 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2241 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4307 AR 47 2009 9-12 26 09 1167-1208
allfieldsSound	10.1007/s00170-009-2244-z doi (DE-627)OLC202602765X (DE-He213)s00170-009-2244-z-p DE-627 ger DE-627 rakwb eng 670 VZ Makhanov, Stanislav S. verfasserin aut Adaptable geometric patterns for five-axis machining: a survey 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Limited 2009 Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on constraint minimization from dynamic systems control theory. Furthermore, a variety of methods based on spline interpolation, NURBS interpolation and Farouki’s Pythagorean–hodograph curves is presented and analyzed. Next, the survey deals with techniques to optimize the positions and orientations of the tool in a particular neighborhood of the part surface. The most important application of these techniques is cutting by a flat-end or a fillet mill while avoiding local overcuts or undercuts due to the curvature interference and rear gouging. This section is supplemented by detection of global interference using visibility cone schemes and their recent modifications and improvements. Solutions offered by solid modeling are presented as well. Finally, adaptable geometric patterns employed for tool path generation are considered and analyzed. The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the offset methods, regional milling, the potential path methods, and clustering. The chapter also presents tool path optimization based on the adaptable curvilinear grids connecting the cutter location points. Finally, navigation approaches and the shortest-path schemes are considered, along with the adaptive space-filling curve algorithms and their combinations with grid generation. Five-axis machines Multi-axis machines CNC interpolators Tool orientation Curvature interference Rear gouging Solid modeling Pythagorean–hodograph curves Pocket machining Regional milling Space-filling curves for machining Curvilinear grids for machining Navigation approach for machining Enthalten in The international journal of advanced manufacturing technology Springer-Verlag, 1985 47(2009), 9-12 vom: 26. Sept., Seite 1167-1208 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:47 year:2009 number:9-12 day:26 month:09 pages:1167-1208 https://doi.org/10.1007/s00170-009-2244-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_21 GBV_ILN_70 GBV_ILN_150 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2241 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4307 AR 47 2009 9-12 26 09 1167-1208
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source	Enthalten in The international journal of advanced manufacturing technology 47(2009), 9-12 vom: 26. Sept., Seite 1167-1208 volume:47 year:2009 number:9-12 day:26 month:09 pages:1167-1208
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author	Makhanov, Stanislav S.
spellingShingle	Makhanov, Stanislav S. ddc 670 misc Five-axis machines misc Multi-axis machines misc CNC interpolators misc Tool orientation misc Curvature interference misc Rear gouging misc Solid modeling misc Pythagorean–hodograph curves misc Pocket machining misc Regional milling misc Space-filling curves for machining misc Curvilinear grids for machining misc Navigation approach for machining Adaptable geometric patterns for five-axis machining: a survey
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topic_title	670 VZ Adaptable geometric patterns for five-axis machining: a survey Five-axis machines Multi-axis machines CNC interpolators Tool orientation Curvature interference Rear gouging Solid modeling Pythagorean–hodograph curves Pocket machining Regional milling Space-filling curves for machining Curvilinear grids for machining Navigation approach for machining
topic	ddc 670 misc Five-axis machines misc Multi-axis machines misc CNC interpolators misc Tool orientation misc Curvature interference misc Rear gouging misc Solid modeling misc Pythagorean–hodograph curves misc Pocket machining misc Regional milling misc Space-filling curves for machining misc Curvilinear grids for machining misc Navigation approach for machining
topic_unstemmed	ddc 670 misc Five-axis machines misc Multi-axis machines misc CNC interpolators misc Tool orientation misc Curvature interference misc Rear gouging misc Solid modeling misc Pythagorean–hodograph curves misc Pocket machining misc Regional milling misc Space-filling curves for machining misc Curvilinear grids for machining misc Navigation approach for machining
topic_browse	ddc 670 misc Five-axis machines misc Multi-axis machines misc CNC interpolators misc Tool orientation misc Curvature interference misc Rear gouging misc Solid modeling misc Pythagorean–hodograph curves misc Pocket machining misc Regional milling misc Space-filling curves for machining misc Curvilinear grids for machining misc Navigation approach for machining
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title	Adaptable geometric patterns for five-axis machining: a survey
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title_sort	adaptable geometric patterns for five-axis machining: a survey
title_auth	Adaptable geometric patterns for five-axis machining: a survey
abstract	Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on constraint minimization from dynamic systems control theory. Furthermore, a variety of methods based on spline interpolation, NURBS interpolation and Farouki’s Pythagorean–hodograph curves is presented and analyzed. Next, the survey deals with techniques to optimize the positions and orientations of the tool in a particular neighborhood of the part surface. The most important application of these techniques is cutting by a flat-end or a fillet mill while avoiding local overcuts or undercuts due to the curvature interference and rear gouging. This section is supplemented by detection of global interference using visibility cone schemes and their recent modifications and improvements. Solutions offered by solid modeling are presented as well. Finally, adaptable geometric patterns employed for tool path generation are considered and analyzed. The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the offset methods, regional milling, the potential path methods, and clustering. The chapter also presents tool path optimization based on the adaptable curvilinear grids connecting the cutter location points. Finally, navigation approaches and the shortest-path schemes are considered, along with the adaptive space-filling curve algorithms and their combinations with grid generation. © Springer-Verlag London Limited 2009
abstractGer	Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on constraint minimization from dynamic systems control theory. Furthermore, a variety of methods based on spline interpolation, NURBS interpolation and Farouki’s Pythagorean–hodograph curves is presented and analyzed. Next, the survey deals with techniques to optimize the positions and orientations of the tool in a particular neighborhood of the part surface. The most important application of these techniques is cutting by a flat-end or a fillet mill while avoiding local overcuts or undercuts due to the curvature interference and rear gouging. This section is supplemented by detection of global interference using visibility cone schemes and their recent modifications and improvements. Solutions offered by solid modeling are presented as well. Finally, adaptable geometric patterns employed for tool path generation are considered and analyzed. The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the offset methods, regional milling, the potential path methods, and clustering. The chapter also presents tool path optimization based on the adaptable curvilinear grids connecting the cutter location points. Finally, navigation approaches and the shortest-path schemes are considered, along with the adaptive space-filling curve algorithms and their combinations with grid generation. © Springer-Verlag London Limited 2009
abstract_unstemmed	Abstract The paper presents a survey of five-axis computer numerical controlled (CNC) machining optimization methods employing adaptable geometric patterns. First, the survey introduces evolution of CNC interpolators from the simplest Taylor series-based routines to sophisticated procedures based on constraint minimization from dynamic systems control theory. Furthermore, a variety of methods based on spline interpolation, NURBS interpolation and Farouki’s Pythagorean–hodograph curves is presented and analyzed. Next, the survey deals with techniques to optimize the positions and orientations of the tool in a particular neighborhood of the part surface. The most important application of these techniques is cutting by a flat-end or a fillet mill while avoiding local overcuts or undercuts due to the curvature interference and rear gouging. This section is supplemented by detection of global interference using visibility cone schemes and their recent modifications and improvements. Solutions offered by solid modeling are presented as well. Finally, adaptable geometric patterns employed for tool path generation are considered and analyzed. The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the offset methods, regional milling, the potential path methods, and clustering. The chapter also presents tool path optimization based on the adaptable curvilinear grids connecting the cutter location points. Finally, navigation approaches and the shortest-path schemes are considered, along with the adaptive space-filling curve algorithms and their combinations with grid generation. © Springer-Verlag London Limited 2009
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