Computational methods for flexible multibody dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Kaiserslautern
Univ., Lehrstuhl für Techn. Mechanik
2002
|
| Schriftenreihe: | UKL LTM
T ; [20]02,02 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 130 S. graph. Darst. : 21 cm |
| ISBN: | 3925178929 |
Internformat
MARC
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| 245 | 1 | 0 | |a Computational methods for flexible multibody dynamics |c P. Betsch. Universität Kaiserslautern, Lehrstuhl für Technische Mechanik |
| 264 | 1 | |a Kaiserslautern |b Univ., Lehrstuhl für Techn. Mechanik |c 2002 | |
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Datensatz im Suchindex
| _version_ | 1808226479048228864 |
|---|---|
| adam_text |
CONTENTS
ABSTRACT
I
ZUSAMMENFASSUNG
III
VORWORT
VII
1
INTRODUCTION
1
1.1
DESCRIPTION
OF
FLEXIBLE
BODIES
.
1
1.2
DISCRETIZATION
OF
CONSTRAINED
MECHANICAL
SYSTEMS
.
3
1.3
MAIN
ISSUES
ADDRESSED
IN
THIS
WORK
.
4
2
CONSTRAINED
MECHANICAL
SYSTEMS
7
2.1
LAGRANGIAN
FORMULATION
.
7
2.1.1
GENERALIZED
COORDINATES
.
9
2.2
HAMILTONIAN
FORMULATION
.
10
2.2.1
THE
AUGMENTED
HAMILTONIAN
.
11
2.2.2
THE
UNDERLYING
ODES
.
13
2.3
GALERKIN-BASED
DISCRETIZATION
OF
THE
DAES
.
14
2.3.1
THE
MIXED
GALERKIN
(MG)
METHOD
.
14
2.3.2
ALGORITHMIC
CONSERVATION
OF
THE
CONSTRAINT
INVARIANTS
.
17
2.3.3
ALGORITHMIC
CONSERVATION
OF
ANGULAR
MOMENTUM
.
18
2.3.4
ALGORITHMIC
ENERGY
CONSERVATION
.
21
3
DAE
APPROACH
TO
RIGID
BODY
DYNAMICS
23
3.1
LAGRANGIAN
FORMULATION
.
24
3.2
HAMILTONIAN
FORMULATION
.
26
3.2.1
NODAL
REDUCTION
PROCEDURE
.
28
3.3
NUMERICAL
INVESTIGATIONS
.
30
3.3.1
FREE
MOTION
OF
A
RIGID
BODY
.
30
3.3.2
HEAVY
SYMMETRICAL
TOP
.
34
3.3.3
CLOSED
LOOP
MULTIBODY
SYSTEM
.
38
4
DAE
APPROACH
TO
N-BODY
PROBLEMS
SUBJECT
TO
CONSTRAINTS
41
4.1
HAMILTONIAN
FORMULATION
.
41
4.1.1
ALGORITHMIC
ENERGY
CONSERVATION
.
44
4.2
LINEAR
TIME
FINITE
ELEMENTS
.
44
XII
CONTENTS
4.2.1
NUMERICAL
IMPLEMENTATION
.
45
4.2.2
ALGORITHMIC
ENERGY
CONSERVATION
.
45
4.2.3
QUADRATURE
RULES
AND
ASSOCIATED
TIME-STEPPING
SCHEMES
.
47
4.3
QUADRATIC
TIME
FINITE
ELEMENTS
.
50
4.3.1
NUMERICAL
IMPLEMENTATION
.
51
4.3.2
ALGORITHMIC
ENERGY
CONSERVATION
.
51
4.3.3
QUADRATURE
RULES
AND
ASSOCIATED
TIME-STEPPING
SCHEMES
.
53
4.4
NUMERICAL
EXAMPLE:
CONSTRAINED
4-BODY
PROBLEM
.
54
5
DAE
APPROACH
TO
COUPLED
SYSTEMS
CONTAINING
CONTINUUM
BODIES
59
5.1
HAMILTONIAN
FORMULATION
OF
SEMI-DISCRETE
ELASTODYNAMICS
.
59
5.1.1
ALGORITHMIC
ENERGY
CONSERVATION
.
63
5.2
LINEAR
TIME
FINITE
ELEMENTS
.
64
5.2.1
ALGORITHMIC
CONSERVATION
OF
ANGULAR
MOMENTUM
.
64
5.2.2
QUADRATURE
RULES
.
65
5.2.3
ENERGY-MOMENTUM
SCHEMES
.
66
5.2.4
NUMERICAL
IMPLEMENTATION
.
69
5.3
COUPLED
MOTION
OF
RIGID
AND
FLEXIBLE
BODIES
.
73
5.3.1
NUMERICAL
EXAMPLE
.
74
6
DAE
APPROACH
TO
GEOMETRICALLY
EXACT
BEAMS
83
6.1
GEOMETRICALLY
EXACT
BEAM
FORMULATION
.
84
6.1.1
SUMMARY
OF
THE
UNDERLYING
BEAM
THEORY
.
84
6.1.2
FORMULATION
OF
THE
WEAK
FORM
IN
TERMS
OF
DIRECTORS
.
88
6.2
DISCRETIZATION
IN
SPACE
AND
TIME
.
90
6.2.1
CONSTRAINED
SEMI-DISCRETE
FORMULATION
.
92
6.2.2
THE
DEGENERATE
RIGID
BODY
.
93
6.2.3
HAMILTONIAN
FORMULATION
OF
THE
SEMI-DISCRETE
BEAM
.
96
6.3
NUMERICAL
INVESTIGATIONS
.
98
6.3.1
PLANAR
EQUILIBRIUM
PROBLEMS
.
98
6.3.2
SPATIAL
EQUILIBRIUM
PROBLEMS
.
100
6.3.3
BEAM
WITH
CONCENTRATED
MASSES
.
103
6.3.4
CLOSED
LOOP
MULTIBODY
SYSTEM
.
105
6.3.5
FLEXIBLE
DOUBLE
PENDULUM
.
107
7
CONCLUSIONS
113
BIBLIOGRAPHY
117 |
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| id | DE-604.BV014849706 |
| illustrated | Illustrated |
| indexdate | 2024-08-24T00:25:49Z |
| institution | BVB |
| isbn | 3925178929 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010046154 |
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| physical | XII, 130 S. graph. Darst. : 21 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Univ., Lehrstuhl für Techn. Mechanik |
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| series | UKL LTM |
| series2 | UKL LTM : T |
| spelling | Betsch, Peter Verfasser aut Computational methods for flexible multibody dynamics P. Betsch. Universität Kaiserslautern, Lehrstuhl für Technische Mechanik Kaiserslautern Univ., Lehrstuhl für Techn. Mechanik 2002 XII, 130 S. graph. Darst. : 21 cm txt rdacontent n rdamedia nc rdacarrier UKL LTM : T [20]02,02 Zugl.: Kaiserslautern, Univ., Habil.-Schr., 2002 Dynamik (DE-588)4013384-9 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Mehrkörpersystem (DE-588)4038390-8 gnd rswk-swf Maschinendynamik (DE-588)4130692-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Mehrkörpersystem (DE-588)4038390-8 s Dynamik (DE-588)4013384-9 s Computersimulation (DE-588)4148259-1 s DE-604 Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s 1\p DE-604 Maschinendynamik (DE-588)4130692-2 s 2\p DE-604 UKL LTM T ; [20]02,02 (DE-604)BV014938227 2002,02 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010046154&sequence=000001&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 |
| spellingShingle | Betsch, Peter Computational methods for flexible multibody dynamics UKL LTM Dynamik (DE-588)4013384-9 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Computersimulation (DE-588)4148259-1 gnd Mehrkörpersystem (DE-588)4038390-8 gnd Maschinendynamik (DE-588)4130692-2 gnd |
| subject_GND | (DE-588)4013384-9 (DE-588)4229517-8 (DE-588)4148259-1 (DE-588)4038390-8 (DE-588)4130692-2 (DE-588)4113937-9 |
| title | Computational methods for flexible multibody dynamics |
| title_auth | Computational methods for flexible multibody dynamics |
| title_exact_search | Computational methods for flexible multibody dynamics |
| title_full | Computational methods for flexible multibody dynamics P. Betsch. Universität Kaiserslautern, Lehrstuhl für Technische Mechanik |
| title_fullStr | Computational methods for flexible multibody dynamics P. Betsch. Universität Kaiserslautern, Lehrstuhl für Technische Mechanik |
| title_full_unstemmed | Computational methods for flexible multibody dynamics P. Betsch. Universität Kaiserslautern, Lehrstuhl für Technische Mechanik |
| title_short | Computational methods for flexible multibody dynamics |
| title_sort | computational methods for flexible multibody dynamics |
| topic | Dynamik (DE-588)4013384-9 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Computersimulation (DE-588)4148259-1 gnd Mehrkörpersystem (DE-588)4038390-8 gnd Maschinendynamik (DE-588)4130692-2 gnd |
| topic_facet | Dynamik Differential-algebraisches Gleichungssystem Computersimulation Mehrkörpersystem Maschinendynamik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010046154&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014938227 |
| work_keys_str_mv | AT betschpeter computationalmethodsforflexiblemultibodydynamics |