Dynamics of systems of rigid bodies:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
1977
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
Internformat
MARC
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| 505 | 0 | |a With 94 fig. and 42 problems. (1.Aufl.)<br>Stuttgart: Teubner 1977. 224 S.<br>(Leitfäden d. angewandten Mathematik u. Mechanik. 33.) | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
1 Mathematical Notation 11
2 Rigid Body Kinematics 19
2.1 Generalized coordinates for the angular orientation of a rigid body . . 19
2.1.1 Euler angles 19
2.1.2 Bryant angles 21
2.1.3 Euler parameters 23
2.2 The notion of angular velocity 25
2.3 Relationships between the angular velocity of a body and generalized
coordinates describing the angular orientation of the body 29
2.3.1 Direction cosines 29
2.3.2 Euler angles 30
2.3.3 Bryant angles 30
2.3.4 Euler parameters 31
3 Basic Principles of Rigid Body Dynamics 33
3.1 Kinetic energy 33
3.2 Angular momentum 34
3.3 Properties of moments and products of inertia 35
3.3.1 Transition to another reference point without change of the
reference base 35
3.3.2 Transition to another reference base without change of the
reference point 36
3.3.3 Principal axes and principal moments of inertia 36
3.3.4 Invariants and inequalities for moments and products of inertia 37
3.4 The law of moment of momentum 39
3.5 D Alembert s principle applied to a rigid body 42
4 Classical Problems of Rigid Body Mechanics 44
4.1 The unsymmetric torque free rigid body 44
4.1.1 Polhodes and permanent rotations 45
4.1.2 Poinsot s geometric interpretation of the motion 46
4.1.3 The solution of Euler s equations of motion 48
4.1.4 The solution of the kinematic differential equations 50
4.2 The symmetric torque free rigid body 53
4.3 The self excited, symmetric rigid body 55
4.4 The symmetric heavy top 56
4.5 The symmetric heavy body in a cardan suspension 63
4.6 The gyrostat. General considerations 66
8 Contents
4.7 The torque free gyrostat 70
4.7.1 Polhodes and permanent rotations 71
4.7.2 The solution of the dynamic equations of motion 73
5 General Multi Body Systems 80
5.1 Introductory remarks 80
5.2 Equations of motion for systems with tree structure 84
5.2.1 The mathematical description of the interconnection structure . 84
5.2.2 Systems with ball and socket joints. One body is coupled to an
external body whose motion is prescribed 90
5.2.3 The special case of plane motions 101
5.2.4 Systems with ball and socket joints without coupling to an
external body whose motion is prescribed 107
5.2.5 The special case of a multi body satellite in a circular orbit. . . 115
5.2.6 Systems with ball and socket, universal and pin joints 124
5.2.7 Programming instructions 133
5.2.8 Systems with arbitrary holonomic constraints in the hinges. . . 145
5.2.9 Internal forces and torques in the hinges of a system with
arbitrary holonomic constraints 166
5.3 Multi body systems with closed chains and with arbitrary constraints . 167
5.3.1 The mathematical description of the interconnection structure.
A generalization of Section 5.2.1 M
5.3.2 Equations of motion 172
5.4 Concluding remarks 189
6 Impact Problems in Holonomic Multi Body Systems 191
6.1 Basic assumptions 191
6.2 Instantaneous velocity increments 193
6.3 An analogy to the law of Maxwell and Betti 200
6.4 Internal impulses and impulse couples in hinges 206
Answers to Problems 215
Literature References 221
Index 223
|
| any_adam_object | 1 |
| author | Wittenburg, Jens 1938- |
| author_GND | (DE-588)143616935 |
| author_facet | Wittenburg, Jens 1938- |
| author_role | aut |
| author_sort | Wittenburg, Jens 1938- |
| author_variant | j w jw |
| building | Verbundindex |
| bvnumber | BV019130422 |
| classification_rvk | UF 1200 UF 1500 UF 1950 |
| contents | With 94 fig. and 42 problems. (1.Aufl.)<br>Stuttgart: Teubner 1977. 224 S.<br>(Leitfäden d. angewandten Mathematik u. Mechanik. 33.) |
| ctrlnum | (OCoLC)246640516 (DE-599)BVBBV019130422 |
| discipline | Physik |
| format | Book |
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| indexdate | 2024-07-09T19:40:49Z |
| institution | BVB |
| language | Undetermined |
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| publishDate | 1977 |
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| spelling | Wittenburg, Jens 1938- Verfasser (DE-588)143616935 aut Dynamics of systems of rigid bodies 1977 txt rdacontent n rdamedia nc rdacarrier With 94 fig. and 42 problems. (1.Aufl.)<br>Stuttgart: Teubner 1977. 224 S.<br>(Leitfäden d. angewandten Mathematik u. Mechanik. 33.) Mehrkörpersystem (DE-588)4038390-8 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Starrer Körper (DE-588)4182935-9 gnd rswk-swf Mechanik (DE-588)4038168-7 s Starrer Körper (DE-588)4182935-9 s DE-604 Dynamik (DE-588)4013384-9 s Mehrkörpersystem (DE-588)4038390-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=011901057&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wittenburg, Jens 1938- Dynamics of systems of rigid bodies With 94 fig. and 42 problems. (1.Aufl.)<br>Stuttgart: Teubner 1977. 224 S.<br>(Leitfäden d. angewandten Mathematik u. Mechanik. 33.) Mehrkörpersystem (DE-588)4038390-8 gnd Mechanik (DE-588)4038168-7 gnd Dynamik (DE-588)4013384-9 gnd Starrer Körper (DE-588)4182935-9 gnd |
| subject_GND | (DE-588)4038390-8 (DE-588)4038168-7 (DE-588)4013384-9 (DE-588)4182935-9 |
| title | Dynamics of systems of rigid bodies |
| title_auth | Dynamics of systems of rigid bodies |
| title_exact_search | Dynamics of systems of rigid bodies |
| title_full | Dynamics of systems of rigid bodies |
| title_fullStr | Dynamics of systems of rigid bodies |
| title_full_unstemmed | Dynamics of systems of rigid bodies |
| title_short | Dynamics of systems of rigid bodies |
| title_sort | dynamics of systems of rigid bodies |
| topic | Mehrkörpersystem (DE-588)4038390-8 gnd Mechanik (DE-588)4038168-7 gnd Dynamik (DE-588)4013384-9 gnd Starrer Körper (DE-588)4182935-9 gnd |
| topic_facet | Mehrkörpersystem Mechanik Dynamik Starrer Körper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=011901057&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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