The analysis of complex nonlinear mechanical systems: a computer algebra assisted approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1995
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| Schriftenreihe: | [World scientific series on nonlinear science / A]
17 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 341 S. :Ill. |
| ISBN: | 9810222092 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | & I WORLD SCIENTIFIC SERIES ON R- % E!* A LK.1 47 NONLINEAR SCIENCE^
SWWSA VOI.17 SERIES EDITOR: LEON 0. CHUA THE HNHLVSIS OF COMPLEX
NONLINEHR MECHRNICRL SYSTEMS H COMPUTER HLGEBRA FLSSISFED APPROACH
MARTIN LESSER ROYAL INSTITUTE OF TECHNOLOGY, STOCKHOLM, SWEDEN WORLD
SCIENTIFIC SINGAPORE * NEW JERSEY * LONDON * HONG KONG CONTENTS 0.1
PREFACE VII THE PROBLEMS OF MECHANICS 1 1.1 NEWTONIAN PRINCIPLES 1 1.2 A
SPECIFIC EXAMPLE 4 1.3 MECHANICS AND GEOMETRY 11 1.4 MECHANICS AND
COMPUTER ALGEBRA 12 1.4.1 THE PARABOLOID REVISITED 13 1.4.2 USING LISTS
19 1.5 PROBLEMS 24 1.5.1 COMPUTER ALGEBRA PROBLEMS 24 THE DESCRIPTION OF
MOTION 27 2.1 SPACE ORGANIZATION 27 2.2 STANDARD TRIADS 32 2.2.1
ROTATION DYADS 35 2.3 DIRECTION COSINE MATRICES 38 2.4 MORE ABOUT DYADS
43 2.5 RATES AND OBSERVERS 45 2.6 ANGULAR VELOCITY 48 2.7 PROPERTIES OF
ANGULAR VELOCITY 51 2.7.1 ANTISYMMETRY OF ANGULAR VELOCITY 51 2.7.2
ADDITION OF ANGULAR VELOCITIES 52 2.7.3 SIMPLE ANGULAR VELOCITY 53 2.8
ANGULAR ACCELERATION 56 2.9 VECTOR REPRESENTATIONS 59 2.10 SOPHIA 63
2.10.1 SOPHIA DATA OBJECTS 64 2.10.2 SOPHIA IN ACTION 72 2.10.3 FOUR BAR
LINKAGE 74 2.11 PROBLEMS 76 XI XII . CONTENTS 3 CONFIGURATION AND MOTION
77 3.1 PRIMARY OBSERVERS 77 3.2 CONSTRAINT 82 3.3 VELOCITY AND
ACCELERATION 87 3.4 CONFIGURATION SURFACE 95 3.5 GENERALIZED SPEEDS AND
PARTIAL VELOCITIES 104 3.6 ORTHOGONALITY 114 3.7 RECIPROCAL BASE SYSTEMS
115 3.8 SYMBOLIC MANIPULATION 118 3.9 SUPER KMVECTORS 122 3.10 KINEMATIC
EQUATIONS 124 3.10.1 THE DIRECT KINEMATIC PROBLEM 124 3.11 FRAME FIXED
VELOCITY 132 3.12 PROBLEMS 140 4 MASS POINT MECHANISMS 145 4.1 NEWTONIAN
DYNAMIC MOTIONS 145 4.2 THE DYNAMICAL POINT MECHANISM 147 4.2.1
APPLICATION OF SOPHIA 151 4.3 THE DETERMINATION OF CONSTRAINT FORCES 154
4.3.1 ORTHOGONAL COMPLEMENTS 155 4.3.2 COTANGENT VECTOR SUMMATION 157
4.3.3 INTERNAL CONSTRAINT FORCES 158 4.4 KANE S EQUATIONS 163 4.4.1
INERTIAL FRAMES OF REFERENCE 171 4.5 ACCELERATION COMPONENTS 174 4.6
LAGRANGE S EQUATIONS 179 4.7 EXAMPLE MECHANISM 182 4.8 THE SECOND FORM
194 4.9 PROBLEMS 200 5 DYNAMICS OF A RIGID BODY 1 203 5.1
CHARACTERIZATION OF A RIGID BODY 203 5.2 TOTAL FORCE AND THE CENTER OF
MASS 207 5.3 MOMENTS OF INERTIA AND TOTAL TORQUE 212 5.4 EQUIVALENT
FORCE SYSTEMS 217 5.5 THE MOMENT OF INERTIA DYAD 221 5.5.1 INERTIA DYADS
AND SOPHIA 229 5.6 ENERGY AND POWER 231 5.7 SCREWS 233 5.8 THE DARBOUX
VECTOR 237 5.9 THE CONSTRAINED RIGID BODY 242 5.9.1 KVECTOR NOTATION 244
CONTENTS XIII 5.9.2 THE COMPOUND PENDULUM 245 5.10 COMPUTER ALGEBRA 248
5.11 PROBLEMS 253 6 REDUNDANT VARIABLES 257 6.1 SIMPLE PENDULUM 257 6.2
THE REDUCTION ALGORITHM 261 6.3 COMPUTER ALGEBRA 266 6.4 NONHOLONOMIC
SYSTEMS 275 6.4.1 A SIMPLE NONHOLONOMIC SYSTEM 276 6.5 TYPICAL VELOCITY
CONSTRAINT PROBLEMS 278 6.5.1 THE KNIFE EDGED PENDULUM 278 6.5.2 THE
ROLLING COIN 283 6.6 PROBLEMS 287 7 APPROXIMATE METHODS 291 7.1 DIRECT
EXPANSION METHODS 292 7.2 PARTIAL SERIES EXPANSIONS 295 7.2.1 THE SOPHIA
SERIES EXPANSION PACKAGE 297 7.3 IMPULSIVE FORCE APPROXIMATIONS 300
7.3.1 A SIMPLE COLLISION MODEL 301 7.3.2 THE IMPULSE EQUATION 303 7.3.3
THE RESTRICTED DOUBLE PENDULUM 306 7.4 PROBLEMS 308 A SOPHIA COMMAND
ASSISTANCE 311 A.I INTRODUCTION 311 A.2 INSTALLATION OF SOPHIA 311 A.3
SETTING FRAME INFORMATION 312 A.4 DECLARING FUNCTIONAL DEPENDENCE 312
A.5 EVECTORS 313 A.5.1 CONSTRUCTION AND SELECTION . 313 A.5.2 CHANGING
REPRESENTATIONS . 313 A.5.3 ALGEBRA 313 A.5.4 DIFFERENTIATION 314 A.5.5
KINEMATIC QUANTITIES 314 A.5.6 RIGID BODY PROPERTIES 315 A.5.7
EQUIPOLLENT SYSTEMS AND SCREW TRANSFORMATIONS 316 A.6 REDUNDANT
COORDINATES 316 A.7 KMVECTORS 317 A.7.1 CONSTRUCTION AND SELECTION 317
A.7.2 ALGEBRA OF KMVECTORS 317 A.7.3 TANGENT SPACE OPERATIONS 317 XIV
CONTENTS A.7.4 KMVECTOR CALCULUS 318 A.8 SKVECTORS 318 A.8.1 SKVECTORS
CONSTRUCTORS AND SELECTORS 318 A.8.2 SKVECTOR ALGEBRA 318 A.8.3 LINEAR
OPERATORS ON SKVECTORS 318 A.8.4 PROJECTION 319 A.8.5 THE DIRECT
KINEMATIC PROBLEM 319 A.9 SERIES EXPANSIONS 320 A.10 GLOBAL VARIABLES
321 A.LL COMMENTS 321 B ANNOTATED REFERENCES 323 B.I BOOKS 323 B.2
COMPUTER PROGRAMS 327 INDEX 329 LIST OF FIGURES 339
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| dewey-full | 531.1 |
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| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.1 |
| dewey-search | 531.1 |
| dewey-sort | 3531.1 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
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| indexdate | 2024-07-09T17:58:20Z |
| institution | BVB |
| isbn | 9810222092 |
| language | English |
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| physical | XIV, 341 S. :Ill. |
| publishDate | 1995 |
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| series2 | [World scientific series on nonlinear science / A] |
| spelling | Lesser, Martin Verfasser aut The analysis of complex nonlinear mechanical systems a computer algebra assisted approach Martin Lesser Singapore u.a. World Scientific 1995 XIV, 341 S. :Ill. txt rdacontent n rdamedia nc rdacarrier [World scientific series on nonlinear science / A] 17 Maple (Computer file) Sophia (Computer file) Datenverarbeitung Nonlinear mechanics Data processing Computeralgebra (DE-588)4010449-7 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Mechanik (DE-588)4038168-7 s Computeralgebra (DE-588)4010449-7 s DE-604 A] [World scientific series on nonlinear science 17 (DE-604)BV009051753 17 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007182844&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lesser, Martin The analysis of complex nonlinear mechanical systems a computer algebra assisted approach Maple (Computer file) Sophia (Computer file) Datenverarbeitung Nonlinear mechanics Data processing Computeralgebra (DE-588)4010449-7 gnd Mechanik (DE-588)4038168-7 gnd |
| subject_GND | (DE-588)4010449-7 (DE-588)4038168-7 |
| title | The analysis of complex nonlinear mechanical systems a computer algebra assisted approach |
| title_auth | The analysis of complex nonlinear mechanical systems a computer algebra assisted approach |
| title_exact_search | The analysis of complex nonlinear mechanical systems a computer algebra assisted approach |
| title_full | The analysis of complex nonlinear mechanical systems a computer algebra assisted approach Martin Lesser |
| title_fullStr | The analysis of complex nonlinear mechanical systems a computer algebra assisted approach Martin Lesser |
| title_full_unstemmed | The analysis of complex nonlinear mechanical systems a computer algebra assisted approach Martin Lesser |
| title_short | The analysis of complex nonlinear mechanical systems |
| title_sort | the analysis of complex nonlinear mechanical systems a computer algebra assisted approach |
| title_sub | a computer algebra assisted approach |
| topic | Maple (Computer file) Sophia (Computer file) Datenverarbeitung Nonlinear mechanics Data processing Computeralgebra (DE-588)4010449-7 gnd Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Maple (Computer file) Sophia (Computer file) Datenverarbeitung Nonlinear mechanics Data processing Computeralgebra Mechanik |
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