Equations of constrained motion: perturbation analysis and application to the hydrostatic skeleton
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Düsseldorf
VDI-Verl.
2000
|
| Edition: | Als Ms. gedr. |
| Series: | Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 20]
307 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Bielefeld, Univ., Diss., 1999 |
| Physical Description: | VIII, 114 S. graph. Darst. |
| ISBN: | 3183307200 |
Staff View
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| 245 | 1 | 0 | |a Equations of constrained motion |b perturbation analysis and application to the hydrostatic skeleton |c Christian Alscher |
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| 264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2000 | |
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Record in the Search Index
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| adam_text |
V
CONTENTS
SYMBOLS
VII
INTRODUCTION
1
1
MECHANICAL
SYSTEMS
WITH
CONSTRAINTS
5
1.1
THE
EQUATIONS
OF
MOTION
.
5
1.2
EXISTENCE
AND
UNIQUENESS
OF
A
SMOOTH
SOLUTION
.
7
2
CONTACT
PROBLEMS
10
2.1
THE
COMPLEMENTARITY
CONDITIONS
.
10
2.2
SOLUTIONS
WITH
DISCONTINUITIES
.
12
2.2.1
DISCONTINUITIES
IN
CASE
OF
A
COLLISION
.
13
2.2.2
DISCONTINUITIES
IN
CASE
OF
A
LIFT-OFF
.
16
2.3
EXISTENCE
AND
UNIQUENESS
OF
A
PIECEWISE
SMOOTH
SOLUTION
.
17
2.4
CONTACT
WITH
TANGENTIAL
FRICTION
.
27
3
PERTURBATION
ANALYSIS
30
3.1
SENSITIVITY
OF
DIFFERENTIAL-ALGEBRAIC
EQUATIONS
.
30
3.2
SENSITIVITY
OF
MECHANICAL
SYSTEMS
WITH
UNILATERAL
CONSTRAINTS
.
35
3.3
PERTURBATION
ANALYSIS
OF
A
COLLISION
.
36
3.4
PERTURBATION
ANALYSIS
OF
A
LIFT-OFF
.
48
4
NUMERICAL
METHODS
54
4.1
DISCRETIZATION
OF
THE
EQUATIONS
OF
MOTION
.
54
4.2
PROJECTIONS
AND
JUMP
CONDITIONS
.
56
4.3
EXTRAPOLATION,
DENSE
OUTPUT,
AND
EVENT
LOCALIZATION
.
59
4.4
FRICTION
FORCES
.
61
4.5
THE
SWITCHING
ALGORITHM
.
62
4.6
SENSITIVITY
AND
CONVERGENCE
OF
THE
NUMERICAL
SOLUTION
.
65
5
A
MODEL
OF
THE
HYDROSTATIC
SKELETON
77
5.1
THE
DYNAMIC
MODEL
.
77
5.1.1
THE
ELASTIC
EDGES
.
78
5.1.2
THE
CONSTRAINT
OF
CONSTANT
VOLUME
.
80
VI
CONTENTS
5.1.3
THE
EQUATIONS
OF
MOTION
AND
THE
CRAWLING
SEQUENCE
.
80
5.1.4
COLLISION
WITH
AN
OBSTACLE
.
81
5.1.5
FLUID
FORCES
AND
SWIMMING
.
82
5.2
A
CONTINUUM
MODEL
.
87
6
ADAPTATION
TO
EXPERIMENTAL
DATA
OF
THE
MEDICINAL
LEECH
92
6.1
THE
EQUILIBRIUM
MODEL
.
92
6.2
THE
"
BASIC
WORM
"
.
93
6.2.1
LENGTH
RELATIONS
AND
VOLUME
OF
A
SINGLE
SEGMENT
.
94
6.2.2
PARAMETERS
OF
THE
LINEAR
LTC
.
95
6.3
NONLINEAR
LTCS,
COMPARTMENTS,
AND
MODIFIED
BODY
GEOMETRY
.
97
6.3.1
FITTING
AND
SCALING
OF
THE
NONLINEAR
LTCS
.
99
6.3.2
INCREASING
VOLUME
.
101
6.3.3
SHORTENING
AND
ELONGATION
.
101
6.3.4
BENDING
.
102
6.3.5
HALF-BODY
COORDINATIONS
.
102
6.3.6
COMPLEX
BEHAVIORS:
CRAWLING
AND
SWIMMING
.
102
APPENDIX
106
A
THE
SIMPLIFIED
MODEL
.
106
A.L
ANAESTHETIZED
STATE
.
107
A.2
MAXIMALLY
SHORTENED
STATE
.
107
A.3
MAXIMALLY
ELONGATED
STATE
.
107
A.
4
SIMULTANEOUS
ACTIVATION
OF
ALL
ELASTIC
ELEMENTS
.
108
BIBLIOGRAPHY
109 |
| any_adam_object | 1 |
| author | Alscher, Christian |
| author_facet | Alscher, Christian |
| author_role | aut |
| author_sort | Alscher, Christian |
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| classification_rvk | SK 950 |
| classification_tum | MTA 200d |
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| discipline | Physik Mathematik |
| edition | Als Ms. gedr. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-20T03:49:29Z |
| institution | BVB |
| isbn | 3183307200 |
| language | German |
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| physical | VIII, 114 S. graph. Darst. |
| publishDate | 2000 |
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| spelling | Alscher, Christian Verfasser aut Equations of constrained motion perturbation analysis and application to the hydrostatic skeleton Christian Alscher Als Ms. gedr. Düsseldorf VDI-Verl. 2000 VIII, 114 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 20] 307 Zugl.: Bielefeld, Univ., Diss., 1999 Biomechanik - Mechanisches System - Kontakt <Reibung> - Bewegungsgleichung - Differential-algebraisches Gleichungssystem - Numerisches Verfahren Kontakt Reibung (DE-588)4293741-3 gnd rswk-swf Biomechanik (DE-588)4006880-8 gnd rswk-swf Mechanisches System (DE-588)4132811-5 gnd rswk-swf Bewegungsgleichung (DE-588)4006321-5 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Störung (DE-588)4133232-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Bewegungsgleichung (DE-588)4006321-5 s Störung (DE-588)4133232-5 s DE-604 Biomechanik (DE-588)4006880-8 s Mechanisches System (DE-588)4132811-5 s Kontakt Reibung (DE-588)4293741-3 s Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s Numerisches Verfahren (DE-588)4128130-5 s 20] Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI 307 (DE-604)BV021786833 307 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008875336&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Alscher, Christian Equations of constrained motion perturbation analysis and application to the hydrostatic skeleton Biomechanik - Mechanisches System - Kontakt <Reibung> - Bewegungsgleichung - Differential-algebraisches Gleichungssystem - Numerisches Verfahren Kontakt Reibung (DE-588)4293741-3 gnd Biomechanik (DE-588)4006880-8 gnd Mechanisches System (DE-588)4132811-5 gnd Bewegungsgleichung (DE-588)4006321-5 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Störung (DE-588)4133232-5 gnd |
| subject_GND | (DE-588)4293741-3 (DE-588)4006880-8 (DE-588)4132811-5 (DE-588)4006321-5 (DE-588)4229517-8 (DE-588)4128130-5 (DE-588)4133232-5 (DE-588)4113937-9 |
| title | Equations of constrained motion perturbation analysis and application to the hydrostatic skeleton |
| title_auth | Equations of constrained motion perturbation analysis and application to the hydrostatic skeleton |
| title_exact_search | Equations of constrained motion perturbation analysis and application to the hydrostatic skeleton |
| title_full | Equations of constrained motion perturbation analysis and application to the hydrostatic skeleton Christian Alscher |
| title_fullStr | Equations of constrained motion perturbation analysis and application to the hydrostatic skeleton Christian Alscher |
| title_full_unstemmed | Equations of constrained motion perturbation analysis and application to the hydrostatic skeleton Christian Alscher |
| title_short | Equations of constrained motion |
| title_sort | equations of constrained motion perturbation analysis and application to the hydrostatic skeleton |
| title_sub | perturbation analysis and application to the hydrostatic skeleton |
| topic | Biomechanik - Mechanisches System - Kontakt <Reibung> - Bewegungsgleichung - Differential-algebraisches Gleichungssystem - Numerisches Verfahren Kontakt Reibung (DE-588)4293741-3 gnd Biomechanik (DE-588)4006880-8 gnd Mechanisches System (DE-588)4132811-5 gnd Bewegungsgleichung (DE-588)4006321-5 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Störung (DE-588)4133232-5 gnd |
| topic_facet | Biomechanik - Mechanisches System - Kontakt <Reibung> - Bewegungsgleichung - Differential-algebraisches Gleichungssystem - Numerisches Verfahren Kontakt Reibung Biomechanik Mechanisches System Bewegungsgleichung Differential-algebraisches Gleichungssystem Numerisches Verfahren Störung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008875336&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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