Numerical stability analysis of arbitrary structural responses:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Bochum
Sonderforschungsbereich Tragwerksdynamik Ruhr-Univ. Bochum
1994
|
| Series: | Sonderforschungsbereich Tragverhalten und Tragfähigkeit von Baukonstruktionen unter Dynamischen Einwirkungen <Bochum>: [SFB-Hunderteinundfünfzig-Berichte]
24 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 124 S. graph. Darst. |
Staff View
MARC
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| 100 | 1 | |a Nawrotzki, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical stability analysis of arbitrary structural responses |c P. Nawrotzki |
| 264 | 1 | |a Bochum |b Sonderforschungsbereich Tragwerksdynamik Ruhr-Univ. Bochum |c 1994 | |
| 300 | |a VI, 124 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Sonderforschungsbereich Tragverhalten und Tragfähigkeit von Baukonstruktionen unter Dynamischen Einwirkungen <Bochum>: [SFB-Hunderteinundfünfzig-Berichte] |v 24 | |
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Record in the Search Index
| _version_ | 1808228244361576448 |
|---|---|
| adam_text |
-
ILL
-
CONTENTS
1.
INTRODUCTION
.
1
1.1
OUTLINE
.
1
1.2
OBJECTS
.
2
2.
DESCRIPTION
OF
NONLINEAR
STRUCTURAL
BEHAVIOUR
.
5
2.1
BASIC
VARIABLES
.
5
2.2
FUNDAMENTAL
EQUATIONS
.
6
2.2.1
HAMILTON
'
S
PRINCIPLE
.
6
2.2.2
GENERAL
EQUATIONS
OF
MOTION
.
6
2.3
INCREMENTAL
EQUATIONS
OF
MOTION
.
8
2.3.1
DIFFERENT
STATES
OF
MOTION
.
8
2.3.2
TANGENTIAL
EQUATIONS
OF
MOTION
.
9
2.3.3
PHASE
SPACE
TRANSFORMATION
.
12
2.4
QUALITATIVE
METHODS
IN
STRUCTURAL
DYNAMICS
.
13
2.4.1
INTEGRAL
CURVES
AND
TRAJECTORIES
.
13
2.4.2
POINCARE
SECTION
.
14
2.4.3
POWER
SPECTRA
.
16
2.4.4
LYAPUNOW
EXPONENTS
.
16
2.5
CLASSIFICATION
OF
STRUCTURAL
RESPONSES
.
17
2.5.1
ATTRACTORS
.
17
2.5.2
STATIONARY
SOLUTIONS
.
18
2.5.3
PERIODIC
SOLUTIONS
.
18
2.5.4
QUASIPERIODIC
SOLUTIONS
.
18
2.5.5
CHAOTIC
SOLUTIONS
.
19
2.5.6
SUMMARY
.
19
3.
CLASSIFICATION
OF
MECHANICAL
SYSTEMS
.
21
3.1
CLASSIFICATION
CRITERIA
.
21
3.2
CONSERVATIVE
VECTOR
FIELDS
.
21
3.3
PROPERTIES
OF
SYSTEM
MATRICES
.
26
3.3.1
INTRODUCTORY
REMARKS
.
26
3.3.2
PURE
DISPLACEMENT-DEPENDENCE
.
27
3.3.3
VELOCITY-PROPORTIONAL
TERMS
.
28
3.3.4
SUMMARY
.
28
-
IV
-
4.
THEORY
OF
DYNAMIC
STABILITY
.31
4.1
STABILITY
DEFINITIONS
OF
LYAPUNOW
.
31
4.2
FIRST
METHOD
OF
LYAPUNOW
.
33
4.2.1
CHARACTERISTIC
EXPONENTS
.
33
4.2.2
STABILITY
CONDITIONS
.
35
4.2.3
GEOMETRIC
INTERPRETATION
.37
4.3
STABILITY
INVESTIGATIONS
ACCORDING
TO
POINCARE
.
39
4.3.1
ORBITAL
STABILITY
.
39
4.3.2
POINCARE
MAP
.
40
4.3.3
CHARACTERISTIC
MULTIPLIERS
AND
STABILITY
CRITERIA
.
41
4.4
LYAPUNOW
EXPONENTS
.44
4.4.1
GENERAL
REMARKS
.
44
4.4.2
ONE-DIMENSIONAL
LYAPUNOW
EXPONENTS
.
44
4.4.3
MULTI-DIMENSIONAL
LYAPUNOW
EXPONENTS
.
45
4.4.4
STABILITY
CRITERIA
.
45
5.
STABILITY
INVESTIGATION
OF
STATIONARY
SOLUTIONS
.
47
5.1
INTRODUCTORY
REMARKS
.
47
5.2
STATIC
EQUILIBRIUM
STATES
.
47
5.3
LYAPUNOW
EXPONENTS
.
48
5.3.1
GENERAL
REMARKS
.
48
5.3.2
STABILITY
CRITERIA
.
49
5.3.3
CHARACTERISTICS
OF
NEIGHBOURING
MOTIONS
.50
5.4
PROPERTIES
OF
SYSTEM
MATRICES
.52
5.4.1
GENERAL
REMARKS
.52
5.4.2
PURE
DISPLACEMENT-DEPENDENCE
.52
5.4.3
VELOCITY-PROPORTIONAL
TERMS
.
53
5.5
NUMERICAL
DETERMINATION
OF
CHARACTERISTIC
EXPONENTS
.54
5.5.1
PATH-TRACING
.54
5.5.2
DETERMINATION
OF
EIGENVALUES
.54
5.6
NUMERICAL
EXAMPLES
.
55
5.6.1
GENERAL
REMARKS
.
55
5.6.2
OSCILLATOR
WITH
DRY
FRICTION
.
55
5.6.3
CYLINDRICAL
SHELL
UNDER
TANGENTIAL
FOLLOWER
FORCE
.
63
5.6.4
SPHERICAL
CAP
UNDER
EXTERNAL
PRESSURE
.
68
-
V
-
6.
STABILITY
INVESTIGATIONS
OF
ARBITRARY
RESPONSES
.
75
6.1
INTRODUCTORY
REMARKS
.
75
6.2
DYNAMIC
EQUILIBRIUM
STATES
.
75
6.3
PERIODIC
FUNDAMENTAL
MOTIONS
.
76
6.3.1
GENERAL
REMARKS
.
76
6.3.2
LYAPUNOW
EXPONENTS
.
77
6.3.3
TYPES
OF
BIFURCATION
.
77
6.4
NUMERICAL
DETERMINATION
OF
LYAPUNOW
EXPONENTS
.
80
6.4.1
PATH-TRACING
.
80
6.4.2
LINEARIZED
EQUATIONS
.
80
6.4.3
NONLINEAR
NEIGHBOURING
MOTIONS
.
85
6.4.4
CONCLUSIVE
VALUATION
.
88
6.5
NUMERICAL
EXAMPLES
.
90
6.5.1
GENERAL
REMARKS
.
90
6.5.2
DUFFING
EQUATION
.
91
6.5.3
ARCH
STRUCTURE
UNDER
DISCRETE
LOAD
.
98
6.5.4
TRUNCATED
CONICAL
SHELL
UNDER
RING
LOAD
.
105
7.
SUMMARY
AND
PROSPECTS
.
113
REFERENCES
.
117 |
| any_adam_object | 1 |
| author | Nawrotzki, Peter |
| author_facet | Nawrotzki, Peter |
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| id | DE-604.BV009661692 |
| illustrated | Illustrated |
| indexdate | 2024-08-24T00:53:54Z |
| institution | BVB |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006388670 |
| oclc_num | 214847190 |
| open_access_boolean | |
| owner | DE-12 DE-91 DE-BY-TUM DE-83 DE-706 |
| owner_facet | DE-12 DE-91 DE-BY-TUM DE-83 DE-706 |
| physical | VI, 124 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Sonderforschungsbereich Tragwerksdynamik Ruhr-Univ. Bochum |
| record_format | marc |
| series | Sonderforschungsbereich Tragverhalten und Tragfähigkeit von Baukonstruktionen unter Dynamischen Einwirkungen <Bochum>: [SFB-Hunderteinundfünfzig-Berichte] |
| series2 | Sonderforschungsbereich Tragverhalten und Tragfähigkeit von Baukonstruktionen unter Dynamischen Einwirkungen <Bochum>: [SFB-Hunderteinundfünfzig-Berichte] |
| spelling | Nawrotzki, Peter Verfasser aut Numerical stability analysis of arbitrary structural responses P. Nawrotzki Bochum Sonderforschungsbereich Tragwerksdynamik Ruhr-Univ. Bochum 1994 VI, 124 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Sonderforschungsbereich Tragverhalten und Tragfähigkeit von Baukonstruktionen unter Dynamischen Einwirkungen <Bochum>: [SFB-Hunderteinundfünfzig-Berichte] 24 Stabilität (DE-588)4056693-6 gnd rswk-swf Strukturanalyse (DE-588)4183787-3 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Strukturanalyse (DE-588)4183787-3 s Mechanik (DE-588)4038168-7 s Stabilität (DE-588)4056693-6 s DE-604 Sonderforschungsbereich Tragverhalten und Tragfähigkeit von Baukonstruktionen unter Dynamischen Einwirkungen <Bochum>: [SFB-Hunderteinundfünfzig-Berichte] 24 (DE-604)BV000015513 24 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006388670&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nawrotzki, Peter Numerical stability analysis of arbitrary structural responses Sonderforschungsbereich Tragverhalten und Tragfähigkeit von Baukonstruktionen unter Dynamischen Einwirkungen <Bochum>: [SFB-Hunderteinundfünfzig-Berichte] Stabilität (DE-588)4056693-6 gnd Strukturanalyse (DE-588)4183787-3 gnd Mechanik (DE-588)4038168-7 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4183787-3 (DE-588)4038168-7 |
| title | Numerical stability analysis of arbitrary structural responses |
| title_auth | Numerical stability analysis of arbitrary structural responses |
| title_exact_search | Numerical stability analysis of arbitrary structural responses |
| title_full | Numerical stability analysis of arbitrary structural responses P. Nawrotzki |
| title_fullStr | Numerical stability analysis of arbitrary structural responses P. Nawrotzki |
| title_full_unstemmed | Numerical stability analysis of arbitrary structural responses P. Nawrotzki |
| title_short | Numerical stability analysis of arbitrary structural responses |
| title_sort | numerical stability analysis of arbitrary structural responses |
| topic | Stabilität (DE-588)4056693-6 gnd Strukturanalyse (DE-588)4183787-3 gnd Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Stabilität Strukturanalyse Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006388670&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015513 |
| work_keys_str_mv | AT nawrotzkipeter numericalstabilityanalysisofarbitrarystructuralresponses |