Verfügbarkeit: Networks of nonlinear thin structures - theory and applications

Networks of nonlinear thin structures - theory and applications:

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Bibliographische Detailangaben
1. Verfasser:	Strohmeyer, Christoph (VerfasserIn)
Format:	Abschlussarbeit Buch
Sprache:	English
Veröffentlicht:	Erlangen FAU University Press 2018
Schriftenreihe:	FAU Studies Mathematics & Physics Band 14
Schlagworte:	Dimension 1 Kontinuumsmechanik Hyperbolisches Differentialgleichungssystem Netzwerk Modellierung Numerik Adjungierte Differentialgleichung Adjungierte Gleichung Balkentheorie Druckrohrleitung Effektive Materialeigenschaften Energetische Homogenisierung Geometisch exakter Balken Geometrieoptimierung Hyperbolische Systeme Kontrolltheorie Kriechschädigung Mathematische Modellierung Optimalsteuerung Randbeobachtbarkeit Randsteuerbarkeit Rohrleitungssystem Schadensmechanik Sensitivitätsanalyse Software Engineering Programmtransformation Steuerbarkeit Strukturoptimierung Textilfaser Vorverformter Balken Wirrvlies adjoint equation beam theory boundary controllability boundary observability control theory creep damage effective mechanical properties energetic homogenization geometrically exact beam geometry optimization hyperbolic systems modeling nichtlineare Kontrolltheorie non-woven numerics optimal control piping system sensitivity analysis Hochschulschrift
Online-Zugang:	Volltext Volltext Volltext Volltext Inhaltsverzeichnis
Beschreibung:	283 Seiten Illustrationen, Diagramme
ISBN:	9783961471379 3961471371
DOI:	10.25593/978-3-96147-138-6

Internformat

MARC


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300			\|a 283 Seiten \|b Illustrationen, Diagramme
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653			\|a Modellierung
653			\|a Numerik
653			\|a Adjungierte Differentialgleichung
653			\|a Adjungierte Gleichung
653			\|a Balkentheorie
653			\|a Druckrohrleitung
653			\|a Effektive Materialeigenschaften
653			\|a Energetische Homogenisierung
653			\|a Geometisch exakter Balken
653			\|a Geometrieoptimierung
653			\|a Hyperbolische Systeme
653			\|a Kontrolltheorie
653			\|a Kriechschädigung
653			\|a Mathematische Modellierung
653			\|a Optimalsteuerung
653			\|a Randbeobachtbarkeit
653			\|a Randsteuerbarkeit
653			\|a Rohrleitungssystem
653			\|a Schadensmechanik
653			\|a Sensitivitätsanalyse
653			\|a Software Engineering Programmtransformation
653			\|a Steuerbarkeit
653			\|a Strukturoptimierung
653			\|a Textilfaser
653			\|a Vorverformter Balken
653			\|a Wirrvlies
653			\|a adjoint equation
653			\|a beam theory
653			\|a boundary controllability
653			\|a boundary observability
653			\|a control theory
653			\|a creep damage
653			\|a effective mechanical properties
653			\|a energetic homogenization
653			\|a geometrically exact beam
653			\|a geometry optimization
653			\|a hyperbolic systems
653			\|a modeling
653			\|a nichtlineare Kontrolltheorie
653			\|a non-woven
653			\|a numerics
653			\|a optimal control
653			\|a piping system
653			\|a sensitivity analysis
653			\|a Modellierung
653			\|a Numerik
653			\|a Adjungierte Differentialgleichung
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Datensatz im Suchindex

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adam_text	1 IN TROD U CTION 1 1.1 INDUSTRY PROJECTS AND M O TIV ATIO N ............................................................... 1 1.2 O UTLINE.............................................................................................................. 2 2 M OD ELIN G AND S IM U LATION 5 2.1 PREREQUISITES.................................................................................................... 6 2.1.1 NONLINEAR CONTINUUM MECHANICS ................................................. 6 2.1.2 FINITE R OTATIONS ................................................................................. 14 2.2 3D GEOMETRICALLY EXACT B E A M ..................................................................... 21 2.2.1 S ETTIN G ................................................................................................. 21 2.2.2 STRAIN AND S TR E S S .............................................................................. 25 2.2.3 DERIVATION OF GOVERNING E Q U A TIO N S ............................................... 35 2.2.4 SUMMARY OF INITIAL-BOUNDARY VALUE PROBLEM ................................. 42 2.3 SIMPLIFICATIONS OF THE 3D GEOMETRICALLY EXACT B EAM ................................ 45 2.3.1 PRE-CURVED 2D GEOMETRICALLY EXACT B E A M .................................... 45 2.3.2 PRE-CURVED AND -TWISTED LINEAR 3D TIMOSHENKO B EAM ................. 51 2.3.3 STRING AND T R U S S .............................................................................. 54 2.4 NETWORKS.......................................................................................................... 58 2.5 SIMULATION OF 3D GEOMETRICALLY EXACT BEAM N E TW O RK S ............................ 63 2.5.1 VARIATIONAL F O R M .............................................................................. 63 2.5.2 SPATIAL DISCRETIZATION........................................................................ 64 2.5.3 TEMPORAL D ISCRETIZATIO N .................................................................. 70 2.5.4 LINEARIZATION .................................................................................... 75 2.5.5 V ERIFICATION........................................................................................ 84 3 C ON TROLLAB ILITY AND O BSERVABILITY 95 3.1 OVERVIEW OF GENERAL THEORY FOR QUASILINEAR HYPERBOLIC SYSTEMS .... 96 3.2 2D GEOMETRICALLY EXACT B E A M S .................................................................. 134 3.2.1 PROBLEM REFORMULATION ..................................................................... 137 3.2.2 EXISTENCE OF SOLUTIONS ..................................................................... 153 3.2.3 LOCAL EXACT BOUNDARY CONTROLLABILITY ............................................ 170 3.2.4 LOCAL EXACT BOUNDARY O B SERV AB ILITY ............................................ 178 3.2.5 OPTIMAL CONTROL AND ADJOINT-BASED SENSITIVITIES ......................... 183 3.3 EXTENSION TO OTHER M ODELS ........................................................................... 195 4 A P P LICA TIO N S 197 4.1 OPTIMAL CONTROL OF GEOMETRICALLY EXACT B E A M S ...................................... 197 4.1.1 PARAMETERIZATION WITH B-SPLINES ..................................................... 198 4.1.2 NUMERICAL RESULTS ............................................................................ 200 4.2 GEOMETRY OPTIMIZATION WITH ENERGETIC HOMOGENIZATION ......................... 208 4.2.1 ENERGETIC HOMOGENIZATION OF TIMOSHENKO BEAM NETWORKS . . . 209 4.2.2 GEOMETRY OPTIMIZATION P R O B LE M .................................................. 214 4.2.3 NUMERICAL RESULTS ........................................................................... 216 4.3 EFFECTIVE MECHANICAL PROPERTIES OF N ONW OVENS......................................... 219 4.3.1 STRATEGIES TO REDUCE COMPUTATIONAL C O S TS ................................... 225 4.3.2 EFFECTIVE TENSILE BEHAVIOR OF N ONW OVENS...................................... 228 4.3.3 GENERATION OF RANDOM FIBER NETW ORKS .......................................... 235 4.3.4 NUMERICAL RESULTS ........................................................................... 240 4.4 SIMULATION OF HOT PIPING SYSTEMS WITH CREEP DAMAGE ......................... 249 4.4.1 MODELING PIPING SYSTEM S.................................................................. 254 4.4.2 CREEP DAMAGE MATERIAL L AW ............................................................ 257 4.4.3 NUMERICAL RESULTS ........................................................................... 261 5 C ON CLU SION AND O U TLOOK 273 B IBLIOGRAP H Y 275
any_adam_object	1
author	Strohmeyer, Christoph
author_GND	(DE-588)1173203257
author_facet	Strohmeyer, Christoph
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author_sort	Strohmeyer, Christoph
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ctrlnum	(OCoLC)1078204379 (DE-599)DNB1172535019
discipline	Mathematik
doi_str_mv	10.25593/978-3-96147-138-6
format	Thesis Book
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genre	(DE-588)4113937-9 Hochschulschrift gnd-content
genre_facet	Hochschulschrift
id	DE-604.BV045353523
illustrated	Illustrated
indexdate	2024-07-10T08:15:46Z
institution	BVB
institution_GND	(DE-588)1068111240
isbn	9783961471379 3961471371
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-030740156
oclc_num	1078204379
open_access_boolean	1
owner	DE-29 DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 DE-860 DE-2174 DE-29T DE-634 DE-573
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physical	283 Seiten Illustrationen, Diagramme
psigel	ebook
publishDate	2018
publishDateSearch	2018
publishDateSort	2018
publisher	FAU University Press
record_format	marc
series	FAU Studies Mathematics & Physics
series2	FAU Studies Mathematics & Physics
spelling	Strohmeyer, Christoph Verfasser (DE-588)1173203257 aut Networks of nonlinear thin structures - theory and applications Christoph Strohmeyer Erlangen FAU University Press 2018 283 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier FAU Studies Mathematics & Physics Band 14 Dissertation Friedrich-Alexander-Universität Erlangen-Nürnberg 2018 Dimension 1 (DE-588)4323094-5 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Hyperbolisches Differentialgleichungssystem (DE-588)4496581-3 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Modellierung Numerik Adjungierte Differentialgleichung Adjungierte Gleichung Balkentheorie Druckrohrleitung Effektive Materialeigenschaften Energetische Homogenisierung Geometisch exakter Balken Geometrieoptimierung Hyperbolische Systeme Kontrolltheorie Kriechschädigung Mathematische Modellierung Optimalsteuerung Randbeobachtbarkeit Randsteuerbarkeit Rohrleitungssystem Schadensmechanik Sensitivitätsanalyse Software Engineering Programmtransformation Steuerbarkeit Strukturoptimierung Textilfaser Vorverformter Balken Wirrvlies adjoint equation beam theory boundary controllability boundary observability control theory creep damage effective mechanical properties energetic homogenization geometrically exact beam geometry optimization hyperbolic systems modeling nichtlineare Kontrolltheorie non-woven numerics optimal control piping system sensitivity analysis (DE-588)4113937-9 Hochschulschrift gnd-content Kontinuumsmechanik (DE-588)4032296-8 s Netzwerk (DE-588)4171529-9 s Dimension 1 (DE-588)4323094-5 s Hyperbolisches Differentialgleichungssystem (DE-588)4496581-3 s DE-604 FAU University Press ein Imprint der Universität Erlangen-Nürnberg Universitätsbibliothek (DE-588)1068111240 pbl Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:29-opus4-101877 978-3-96147-138-6 FAU Studies Mathematics & Physics Band 14 (DE-604)BV041186292 14 http://d-nb.info/117250329X/34 Langzeitarchivierung Nationalbibliothek kostenfrei Volltext http://nbn-resolving.org/urn:nbn:de:bvb:29-opus4-101877 Resolving-System kostenfrei Volltext https://doi.org/10.25593/978-3-96147-138-6 Resolving-System kostenfrei Volltext https://open.fau.de/handle/openfau/10187 Verlag kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030740156&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Strohmeyer, Christoph Networks of nonlinear thin structures - theory and applications FAU Studies Mathematics & Physics Dimension 1 (DE-588)4323094-5 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Hyperbolisches Differentialgleichungssystem (DE-588)4496581-3 gnd Netzwerk (DE-588)4171529-9 gnd
subject_GND	(DE-588)4323094-5 (DE-588)4032296-8 (DE-588)4496581-3 (DE-588)4171529-9 (DE-588)4113937-9
title	Networks of nonlinear thin structures - theory and applications
title_auth	Networks of nonlinear thin structures - theory and applications
title_exact_search	Networks of nonlinear thin structures - theory and applications
title_full	Networks of nonlinear thin structures - theory and applications Christoph Strohmeyer
title_fullStr	Networks of nonlinear thin structures - theory and applications Christoph Strohmeyer
title_full_unstemmed	Networks of nonlinear thin structures - theory and applications Christoph Strohmeyer
title_short	Networks of nonlinear thin structures - theory and applications
title_sort	networks of nonlinear thin structures theory and applications
topic	Dimension 1 (DE-588)4323094-5 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Hyperbolisches Differentialgleichungssystem (DE-588)4496581-3 gnd Netzwerk (DE-588)4171529-9 gnd
topic_facet	Dimension 1 Kontinuumsmechanik Hyperbolisches Differentialgleichungssystem Netzwerk Hochschulschrift
url	http://d-nb.info/117250329X/34 http://nbn-resolving.org/urn:nbn:de:bvb:29-opus4-101877 https://doi.org/10.25593/978-3-96147-138-6 https://open.fau.de/handle/openfau/10187 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030740156&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV041186292
work_keys_str_mv	AT strohmeyerchristoph networksofnonlinearthinstructurestheoryandapplications AT fauuniversitypresseinimprintderuniversitaterlangennurnberguniversitatsbibliothek networksofnonlinearthinstructurestheoryandapplications

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