Nonholonomic motion of rigid mechanical systems from a DAE viewpoint:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
Siam
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 140 S. graph. Darst. |
| ISBN: | 089871446X |
Internformat
MARC
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| 264 | 1 | |a Philadelphia |b Siam |c 2000 | |
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| 650 | 7 | |a Contraintes - Mécanique |2 ram | |
| 650 | 7 | |a Dynamique des corps rigides |2 ram | |
| 650 | 7 | |a Géométrie différentielle |2 ram | |
| 650 | 7 | |a corps rigide |2 inriac | |
| 650 | 7 | |a système non holonome |2 inriac | |
| 650 | 7 | |a Équations différentielles - Solutions numériques |2 ram | |
| 650 | 7 | |a Équations différentielles algébriques |2 ram | |
| 650 | 7 | |a équation differentielle algébrique |2 inriac | |
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Datensatz im Suchindex
| _version_ | 1804128178236555264 |
|---|---|
| adam_text | Contents
Preface vii
1 Introduction 1
2 The Gauss Principle for Mass Points 9
2.1 Formulation 9
2.2 Justification 14
2.3 Variable Transformations 17
3 The Configuration Space of a Rigid Body 19
3.1 Rigid Body Representation 19
3.2 The Use of Quaternions 21
3.3 Planar Rigid Bodies 26
4 Unconstrained Rigid Bodies 29
4.1 Background 29
4.2 A Trivialization of TS3 32
4.3 Second Order ODE of Motion 34
4.4 The Euler Jacobi Operator on Manifolds 37
4.5 Energy Formulation 41
4.6 Planar Rigid Body Motion 43
5 Constrained Rigid Bodies 45
5.1 Kinematic Constraints 45
5.2 Geometric Constraints 53
5.3 Multibody Systems 55
5.4 The Planar Case 58
6 DAE Formulation in Linear Spaces 61
6.1 A DAE Existence Result 61
6.2 The Case of Nonmaximal Rank 65
v
vi Contents
7 DAE Formulation on Manifolds 73
7.1 Existence Theory on Manifolds 73
7.2 A Projected Derivative Operator 77
7.3 Nonmaximal Rank in the Manifold Case 80
7.4 Reduction to DAEs on Euclidian Space 82
7.5 Characterization of State Spaces 90
7.6 ODE Formulations 92
8 Computational Methods 97
8.1 Computations on Manifolds 97
8.2 A DAE Solver for Kinematic Constraints 101
8.3 Outlook on Computational Approaches 105
9 Computational Examples 109
9.1 Some Introductory Planar Examples 109
9.2 Three Dimensional Problems 115
Appendix. Submanifolds 133
References 137
Index 139
|
| any_adam_object | 1 |
| author | Rabier, Patrick J. Rheinboldt, Werner C. |
| author_facet | Rabier, Patrick J. Rheinboldt, Werner C. |
| author_role | aut aut |
| author_sort | Rabier, Patrick J. |
| author_variant | p j r pj pjr w c r wc wcr |
| building | Verbundindex |
| bvnumber | BV013395424 |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)491849807 (DE-599)BVBBV013395424 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV013395424 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:45:07Z |
| institution | BVB |
| isbn | 089871446X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009138628 |
| oclc_num | 491849807 |
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| owner | DE-384 DE-703 DE-11 |
| owner_facet | DE-384 DE-703 DE-11 |
| physical | VIII, 140 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Siam |
| record_format | marc |
| spelling | Rabier, Patrick J. Verfasser aut Nonholonomic motion of rigid mechanical systems from a DAE viewpoint Patrick J. Rabier ; Werner C. Rheinboldt Philadelphia Siam 2000 VIII, 140 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Contraintes - Mécanique ram Dynamique des corps rigides ram Géométrie différentielle ram corps rigide inriac système non holonome inriac Équations différentielles - Solutions numériques ram Équations différentielles algébriques ram équation differentielle algébrique inriac Nichtholonome Bedingung (DE-588)4171735-1 gnd rswk-swf Algebraische Differentialgleichung (DE-588)4001158-6 gnd rswk-swf Starrer Körper (DE-588)4182935-9 gnd rswk-swf Starrer Körper (DE-588)4182935-9 s Nichtholonome Bedingung (DE-588)4171735-1 s Algebraische Differentialgleichung (DE-588)4001158-6 s DE-604 Rheinboldt, Werner C. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009138628&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rabier, Patrick J. Rheinboldt, Werner C. Nonholonomic motion of rigid mechanical systems from a DAE viewpoint Contraintes - Mécanique ram Dynamique des corps rigides ram Géométrie différentielle ram corps rigide inriac système non holonome inriac Équations différentielles - Solutions numériques ram Équations différentielles algébriques ram équation differentielle algébrique inriac Nichtholonome Bedingung (DE-588)4171735-1 gnd Algebraische Differentialgleichung (DE-588)4001158-6 gnd Starrer Körper (DE-588)4182935-9 gnd |
| subject_GND | (DE-588)4171735-1 (DE-588)4001158-6 (DE-588)4182935-9 |
| title | Nonholonomic motion of rigid mechanical systems from a DAE viewpoint |
| title_auth | Nonholonomic motion of rigid mechanical systems from a DAE viewpoint |
| title_exact_search | Nonholonomic motion of rigid mechanical systems from a DAE viewpoint |
| title_full | Nonholonomic motion of rigid mechanical systems from a DAE viewpoint Patrick J. Rabier ; Werner C. Rheinboldt |
| title_fullStr | Nonholonomic motion of rigid mechanical systems from a DAE viewpoint Patrick J. Rabier ; Werner C. Rheinboldt |
| title_full_unstemmed | Nonholonomic motion of rigid mechanical systems from a DAE viewpoint Patrick J. Rabier ; Werner C. Rheinboldt |
| title_short | Nonholonomic motion of rigid mechanical systems from a DAE viewpoint |
| title_sort | nonholonomic motion of rigid mechanical systems from a dae viewpoint |
| topic | Contraintes - Mécanique ram Dynamique des corps rigides ram Géométrie différentielle ram corps rigide inriac système non holonome inriac Équations différentielles - Solutions numériques ram Équations différentielles algébriques ram équation differentielle algébrique inriac Nichtholonome Bedingung (DE-588)4171735-1 gnd Algebraische Differentialgleichung (DE-588)4001158-6 gnd Starrer Körper (DE-588)4182935-9 gnd |
| topic_facet | Contraintes - Mécanique Dynamique des corps rigides Géométrie différentielle corps rigide système non holonome Équations différentielles - Solutions numériques Équations différentielles algébriques équation differentielle algébrique Nichtholonome Bedingung Algebraische Differentialgleichung Starrer Körper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009138628&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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