Mathematical modelling and computer simulation of biomechanical systems:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 205 S. Ill., graph. Darst. |
| ISBN: | 9810223951 |
Staff View
MARC
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| 100 | 1 | |a Zinkovsky, A. V. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical modelling and computer simulation of biomechanical systems |c A. V. Zinkovsky ; V. A. Sholuha ; A. A. Ivanov |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1996 | |
| 300 | |a X, 205 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Biomechanics | |
| 650 | 4 | |a Computer Simulation | |
| 650 | 4 | |a Human mechanics |x Computer simulation | |
| 650 | 4 | |a Human mechanics |x Mathematical models | |
| 650 | 4 | |a Models, Biological | |
| 650 | 4 | |a Motor Activity | |
| 700 | 1 | |a Sholuha, V. A. |e Verfasser |4 aut | |
| 700 | 1 | |a Ivanov, A. A. |e Verfasser |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-008658928 | ||
Record in the Search Index
| _version_ | 1804127401205039104 |
|---|---|
| adam_text | CONTENTS
Preface v
1 Human Motion Modelling 1
1.1 Some History 1
1.2 Contemporary State of the Problem 3
1.3 System Approach to Biomechanical Investigations 8
2 Mathematical Anthropomorphic Models 13
2.1 Extracts from Solid Body Dynamics 13
2.2 Description of a System of Solid Bodies Stucture 15
2.3 Spatial Model with Spherical Joints 19
2.3.1 Structure Description 19
2.3.2 Expressions for Fundamental Dynamic Quantities 24
2.3.3 Equations of Motion 26
2.3.4 Quantitative Characteristics of AM Dynamics 28
2.4 Planar Motion 31
2.5 System of Arbitrary Connected Bodies in 3 D Space 35
2.6 Additional Restrictions on the Base Model 40
2.6.1 Linear Constraints 41
2.6.2 Preset Distance between Certain Points of Two Bodies .... 41
2.6.3 Preset Behaviour of Certain Point Radius Vector Projection
onto Fixed Direction in Selected Basis 41
2.6.4 Preset Behaviour of Two Bodies Relative Angular Velocity Pro¬
jection onto Fixed Direction in Selected Basis 42
2.6.5 Preset Surface Shapes of Two Adjoined Bodies 42
2.6.6 Preset Force Constraint 43
2.6.7 Generalised Form of Constraint Equations 43
2.7 AM Equations in Generalized Coordinates 44
ix
x Contents
3 The Imitational Modelling Attributes 45
3.1 Experimental Data Processing 45
3.1.1 Filmed or Video taped Motion Processing 45
3.1.2 GMIC and Reduction of AM Degrees of Freedom 48
3.1.3 Trajectories Smoothing 52
3.2 Choice of the Optimal Model Parameters 54
3.3 Control Structure 62
3.3.1 Stationary Control 62
3.4 Integration of Motion Equations for Mechanical System with Constraints 67
3.4.1 Implicit Form of Equations for Mechanical System with Con¬
straints 68
3.4.2 Corrections Calculation for Arbitrary Constraints 69
3.4.3 Holonomic Constraints 71
3.4.4 Nonholonomic Constraints of the First Order 73
3.4.5 Regularization According to Baumgarte 75
4 Analysis 77
4.1 Basic Principles 77
4.2 Analysis of the Synthesized Motion 80
4.3 Analysis of a Real Experiment 93
4.4 Analysis of Grand Circles on the Horizontal Bar 97
4.5 Some Conclusions 108
5 Synthesis 111
5.1 General Points (Fundamentals) Ill
5.2 Typical Non Stationary Constraints 115
5.3 Synthesis of Grand Circles on the Horizontal Bar (3 element model) . 123
5.4 Single Support Motion (7 element model) 128
5.5 Walking 143
5.6 Gymnastic Exercises 157
5.7 Running Long Jump 169
5.8 Human Motion in Weightlessness and under Overloads 180
5.9 Some Notes and Conclusions 192
Conclusion 195
Bibliography 197
Index 203
|
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| dewey-search | 612.7/6 519 |
| dewey-sort | 3612.7 16 |
| dewey-tens | 610 - Medicine and health 510 - Mathematics |
| discipline | Biologie Mathematik Medizin |
| format | Book |
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| id | DE-604.BV012734366 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:32:46Z |
| institution | BVB |
| isbn | 9810223951 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008658928 |
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| owner_facet | DE-703 |
| physical | X, 205 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | World Scientific |
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| spelling | Zinkovsky, A. V. Verfasser aut Mathematical modelling and computer simulation of biomechanical systems A. V. Zinkovsky ; V. A. Sholuha ; A. A. Ivanov Singapore [u.a.] World Scientific 1996 X, 205 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Biomechanics Computer Simulation Human mechanics Computer simulation Human mechanics Mathematical models Models, Biological Motor Activity Sholuha, V. A. Verfasser aut Ivanov, A. A. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008658928&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zinkovsky, A. V. Sholuha, V. A. Ivanov, A. A. Mathematical modelling and computer simulation of biomechanical systems Mathematisches Modell Biomechanics Computer Simulation Human mechanics Computer simulation Human mechanics Mathematical models Models, Biological Motor Activity |
| title | Mathematical modelling and computer simulation of biomechanical systems |
| title_auth | Mathematical modelling and computer simulation of biomechanical systems |
| title_exact_search | Mathematical modelling and computer simulation of biomechanical systems |
| title_full | Mathematical modelling and computer simulation of biomechanical systems A. V. Zinkovsky ; V. A. Sholuha ; A. A. Ivanov |
| title_fullStr | Mathematical modelling and computer simulation of biomechanical systems A. V. Zinkovsky ; V. A. Sholuha ; A. A. Ivanov |
| title_full_unstemmed | Mathematical modelling and computer simulation of biomechanical systems A. V. Zinkovsky ; V. A. Sholuha ; A. A. Ivanov |
| title_short | Mathematical modelling and computer simulation of biomechanical systems |
| title_sort | mathematical modelling and computer simulation of biomechanical systems |
| topic | Mathematisches Modell Biomechanics Computer Simulation Human mechanics Computer simulation Human mechanics Mathematical models Models, Biological Motor Activity |
| topic_facet | Mathematisches Modell Biomechanics Computer Simulation Human mechanics Computer simulation Human mechanics Mathematical models Models, Biological Motor Activity |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008658928&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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