Dynamics of multibody systems:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Pr.
2005
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 357 - 368. - Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | X, 374 S. graph. Darst. |
| ISBN: | 0521850118 9780521154222 0521154227 |
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Record in the Search Index
| _version_ | 1804133368760107008 |
|---|---|
| adam_text | Titel: Dynamics of multibody systems
Autor: Shabana, Ahmed A.
Jahr: 2005
Contents
Preface ix
1 INTRODUCTION 1
1.1 Multibody Systems 1
1.2 Reference Frames 3
1.3 Particle Mechanics 6
1.4 Rigid Body Mechanics 11
1.5 Deformable Bodies 15
1.6 Constrained Motion 18
1.7 Computer Formulation and Coordinate Selection 22
1.8 Objectives and Scope of This Book 25
2 REFERENCE KINEMATICS 28
2.1 Rotation Matrix 29
2.2 Properties of the Rotation Matrix 35
2.3 Successive Rotations 39
2.4 Velocity Equations 47
2.5 Accelerations and Important Identities 55
2.6 Rodriguez Parameters 59
2.7 Euler Angles 63
2.8 Direction Cosines 68
2.9 The 4x4 Transformation Matrix 72
2.10 Relationship between Different Orientation Coordinates 80
Problems 82
v
Vi CONTENTS
3 ANALYTICAL TECHNIQUES 85
3.1 Generalized Coordinates and Kinematic Constraints 86
3.2 Degrees of Freedom and Generalized Coordinate Partitioning 94
3.3 Virtual Work and Generalized Forces 102
3.4 Lagrangian Dynamics 115
3.5 Application to Rigid Body Dynamics 123
3.6 Calculus of Variations 129
3.7 Euler s Equation in the Case of Several Variables 135
3.8 Equations of Motion of Rigid Body Systems 142
3.9 Newton-Euler Equations 150
3.10 Concluding Remarks 154
Problems 156
4 MECHANICS OF DEFORMABLE BODIES 159
4.1 Kinematics of Deformable Bodies 160
4.2 Strain Components 164
4.3 Physical Interpretation of Strains 168
4.4 Rigid Body Motion 169
4.5 Stress Components 172
4.6 Equations of Equilibrium 175
4.7 Constitutive Equations 178
4.8 Virtual Work of the Elastic Forces 183
Problems 186
5 FLOATING FRAME OF REFERENCE FORMULATION 188
5.1 Kinematic Description 189
5.2 Inertia of Deformable Bodies 200
5.3 Generalized Forces 213
5.4 Kinematic Constraints 219
5.5 Equations of Motion 223
5.6 Coupling between Reference and Elastic Displacements 228
5.7 Application to a Multibody System 231
5.8 Use of Independent Coordinates 241
5.9 Dynamic Equations with Multipliers 244
5.10 Generalized Coordinate Partitioning 248
5.11 Organization of Multibody Computer Programs 251
5.12 Numerical Algorithms 254
Problems 263
6 FINITE-ELEMENT FORMULATION 267
6.1 Element Shape Functions 268
6.2 Reference Conditions 276
CONTENTS vii
6.3 Kinetic Energy 278
6.4 Generalized Elastic Forces 287
6.5 Characterization of Planar Elastic Systems 288
6.6 Characterization of Spatial Elastic Systems 294
6.7 Coordinate Reduction 300
6.8 The Floating Frame of Reference and Large
Deformation Problem 304
Problems 307
7 THE LARGE DEFORMATION PROBLEM 309
7.1 Background 310
7.2 Absolute Nodal Coordinate Formulation 314
7.3 Formulation of the Stiffness Matrix 318
7.4 Equations of Motion 322
7.5 Relationship to the Floating Frame of Reference Formulation 323
7.6 Coordinate Transformation 325
7.7 Consistent Mass Formulation 328
7.8 The Velocity Transformation Matrix 331
7.9 Lumped Mass Formulation 332
7.10 Extension of the Method 335
7.11 Comparison with Large Rotation Vector Formulation 339
Problems 342
APPENDIX: LINEAR ALGEBRA 345
A. 1 Matrix Algebra 345
A.2 Eigenvalue Analysis 349
A.3 Vector Spaces 350
A.4 Chain Rule of Differentiation 353
A.5 Principle of Mathematical Induction 354
Problems 355
REFERENCES 357
INDEX 369
|
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| spelling | Shabana, Ahmed A. 1951- Verfasser (DE-588)114968594 aut Dynamics of multibody systems Ahmed A. Shabana 3. ed. Cambridge Cambridge Univ. Pr. 2005 X, 374 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 357 - 368. - Hier auch später erschienene, unveränderte Nachdrucke Cinématique Dynamique Dynamics Kinematics Mechanik (DE-588)4038168-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Mehrkörpersystem (DE-588)4038390-8 gnd rswk-swf Mehrkörpersystem (DE-588)4038390-8 s Dynamik (DE-588)4013384-9 s DE-604 Berechnung (DE-588)4120997-7 s 1\p DE-604 Mechanik (DE-588)4038168-7 s 2\p DE-604 Dynamisches System (DE-588)4013396-5 s 3\p DE-604 DE-601 pdf/application http://www.zentralblatt-math.org/zmath/en/search/?an=1202.70001 Zentralblatt MATH kostenfrei Inhaltstext DE-601 pdf/application http://www.gbv.de/dms/bowker/toc/9780521154222.pdf Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013177370&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Shabana, Ahmed A. 1951- Dynamics of multibody systems Cinématique Dynamique Dynamics Kinematics Mechanik (DE-588)4038168-7 gnd Dynamisches System (DE-588)4013396-5 gnd Berechnung (DE-588)4120997-7 gnd Dynamik (DE-588)4013384-9 gnd Mehrkörpersystem (DE-588)4038390-8 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4013396-5 (DE-588)4120997-7 (DE-588)4013384-9 (DE-588)4038390-8 |
| title | Dynamics of multibody systems |
| title_auth | Dynamics of multibody systems |
| title_exact_search | Dynamics of multibody systems |
| title_full | Dynamics of multibody systems Ahmed A. Shabana |
| title_fullStr | Dynamics of multibody systems Ahmed A. Shabana |
| title_full_unstemmed | Dynamics of multibody systems Ahmed A. Shabana |
| title_short | Dynamics of multibody systems |
| title_sort | dynamics of multibody systems |
| topic | Cinématique Dynamique Dynamics Kinematics Mechanik (DE-588)4038168-7 gnd Dynamisches System (DE-588)4013396-5 gnd Berechnung (DE-588)4120997-7 gnd Dynamik (DE-588)4013384-9 gnd Mehrkörpersystem (DE-588)4038390-8 gnd |
| topic_facet | Cinématique Dynamique Dynamics Kinematics Mechanik Dynamisches System Berechnung Dynamik Mehrkörpersystem |
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