Optimization with ruled surface

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1. Verfasser: Zhou, Yayun 1981- (VerfasserIn)
Format: Abschlussarbeit Buch
Sprache:English
Veröffentlicht: Berlin Logos 2010
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Datensatz im Suchindex

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adam_text CONTENTS ABSTRACT XVII KURZFASSUNG XIX 1 INTRODUCTION 1 1.1 MOTIVATION 1 1.2 WORK IN THE DISSERTATION 3 2 THEORETICAL ANALYSIS OF RULED SURFACE 5 2.1 LINE GEOMETRY 5 2.1.1 PROJECTIVE SPACE 6 2.1.2 LINE SPACE MODEL 6 2.1.3 CURVES AND SURFACES IN GEOMETRIC DESIGN 7 2.1.4 ALGEBRAIC REPRESENTATION OF RULED SURFACE 8 2.2 KINEMATICS 12 2.2.1 DUAL NUMBER 12 2.2.2 SCREW THEORY 13 2.2.3 DUAL REPRESENTATION OF LINE 15 2.2.4 DUAL VECTOR REPRESENTATION OF RULED SURFACE 16 3 RULED SURFACE APPROXIMATION IN LINE GEOMETRY 19 3.1 APPROXIMATION IN LINE SPACE 19 3.1.1 ALGORITHM OVERVIEW 19 3.1.2 APPROXIMATION ALGORITHM DESCRIPTION 20 3.1.3 ALGORITHM VERIFICATION 22 3.2 APPLICATION IN TUERBOCHARGER BLADE DESIGN 24 3.2.1 BACKGROUND KNOWLEDGE 24 3.2.2 SIMULATION RESULT 26 3.3 COMMENTS 26 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1007879858 DIGITALISIERT DURCH CONTENTS THEORY OF THE KINEMATIC RULED SURFACE APPROXIMATION 29 4.1 RULED SURFACE MAPPING APPROACH 29 4.1.1 DUAL VECTOR REPRESENTATION OF RULED SURFACE 29 4.1.2 DUAL VECTOR RULED SURFACE REPRESENTATION TRANSFORM 30 4.2 WEIGHTED AVERAGE ON A REAL SPHERE AND REAL SPHERICAL SPLINE 30 4.2.1 SPHERICAL WEIGHTED AVERAGE 31 4.2.2 PROPERTIES OF THE SPHERICAL WEIGHTED AVERAGE 32 4.2.3 SPHERICAL SPLINE 33 4.3 WEIGHTED AVERAGE ON THE DUAL UNIT SPHERE AND DUAL SPHERICAL SPLINE 34 4.3.1 DEFINITION OF THE WEIGHTED AVERAGE ON THE DUS 34 4.3.2 EXISTENCE AND UNIQUENESS OF THE WEIGHTED AVERAGE ON THE DUS 35 4.3.3 PROPERTIES OF THE WEIGHTED AVERAGE ON THE DUS 38 4.3.4 DEFINITION OF THE DUAL SPHERICAL SPLINE 38 4.4 COMMENTS 38 DUAL SPHERICAL SPLINE INTERPOLATION ALGORITHM 39 5.1 ALGORITHM CALCULATING A WEIGHTED AVERAGE ON A REAL SPHERE 39 5.2 REAL SPHERICAL SPLINE INTERPOLATION ALGORITHM 40 5.3 DUAL SPHERICAL SPLINE INTERPOLATION 41 5.3.1 ALGORITHM CALCULATING A WEIGHTED AVERAGE ON THE DUS 41 5.3.2 ALGORITHM OF THE SPLINE INTERPOLATION ON THE DUS 43 5.3.3 SIMULATION RESULT 44 5.4 APPLICATION IN RULED SURFACE APPROXIMATION 46 5.5 COMMENTS 48 KINEMATIC RULED SURFACE APPROXIMATION ALGORITHM 51 6.1 FRAMEWORK OF THE KINEMATIC RULED SURFACE APPROXIMATION ALGORITHM 51 6.1.1 RULINGS AND REFERENCE LINES EXTRACTION 52 6.1. CONTENTS XI 7.5 COMMENTS 75 8 APPLICATION IN CNC MACHINING 77 8.1 5-AXIS FLANK MILLING IN CNC MACHINING 78 8.1.1 5-AXIS MACHINE 78 8.1.2 FLANK MILLING 81 8.2 PATH GENERATION 84 8.3 OFFSET THEORY 84 8.3.1 PATH GENERATION AND MOTION CONVERSION 86 8.4 SIMULATION RESULT 88 8.5 COMMENTS 90 9 CONCLUSION AND FUTURE WORK 91 9.1 CONCLUSION 91 9.2 FUTURE WORK 93 REFERENCES 95
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physical XIX, 99 S. Ill., graph. Darst.
publishDate 2010
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spellingShingle Zhou, Yayun 1981-
Optimization with ruled surface
Approximation (DE-588)4002498-2 gnd
Fertigungsgerechte Konstruktion (DE-588)4213725-1 gnd
Regelfläche (DE-588)4343218-9 gnd
Spline-Interpolation (DE-588)4182396-5 gnd
Gestaltoptimierung (DE-588)4329076-0 gnd
Geometrische Modellierung (DE-588)4156717-1 gnd
subject_GND (DE-588)4002498-2
(DE-588)4213725-1
(DE-588)4343218-9
(DE-588)4182396-5
(DE-588)4329076-0
(DE-588)4156717-1
(DE-588)4113937-9
title Optimization with ruled surface
title_auth Optimization with ruled surface
title_exact_search Optimization with ruled surface
title_full Optimization with ruled surface Yayun Zhou
title_fullStr Optimization with ruled surface Yayun Zhou
title_full_unstemmed Optimization with ruled surface Yayun Zhou
title_short Optimization with ruled surface
title_sort optimization with ruled surface
topic Approximation (DE-588)4002498-2 gnd
Fertigungsgerechte Konstruktion (DE-588)4213725-1 gnd
Regelfläche (DE-588)4343218-9 gnd
Spline-Interpolation (DE-588)4182396-5 gnd
Gestaltoptimierung (DE-588)4329076-0 gnd
Geometrische Modellierung (DE-588)4156717-1 gnd
topic_facet Approximation
Fertigungsgerechte Konstruktion
Regelfläche
Spline-Interpolation
Gestaltoptimierung
Geometrische Modellierung
Hochschulschrift
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020647397&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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