Nonlinear dynamics of continuous elastic systems:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
2004
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 341 S. Ill., graph. Darst. |
| ISBN: | 3540205152 |
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| 245 | 1 | 0 | |a Nonlinear dynamics of continuous elastic systems |c Jan Awrejcewicz ; Vadim A. Krys'ko ; A. F. Vakakis |
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Record in the Search Index
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| adam_text | J. AWREJCEWICZ * V. KRYS KO * A.F. VAKAKIS NONLINEAR DYNAMICS OF
CONTINUOUS ELASTIC SYSTEMS WITH 125 FIGURES AND 27 TABLES SPRINGER TABLE
OF CONTENTS PREFACE V TABLE OF CONTENTS IX 1 VIBRATION OF PLATES AND
SHELLS WITH ADDED MASSES 1 1.1 INTRODUCTION 1 1.2 3D-THEORY OF
ORTHOTROPIC SHALLOW SHELLS WITH ADDED MASSES 4 1.2.1 CURVILINEAR
ORTHOGONAL COORDINATES 4 1.2.2 FUNDAMENTAL RELATIONS AND HYPOTHESES 9
1.2.3 VARIATIONAL EQUATIONS 10 1.2.4 DIFFERENTIAL EQUATIONS, BOUNDARY
AND INITIAL CONDITIONS 20 1.3 ANALYSIS OF ORTHOTROPIC SHALLOW SHELLS
WITH ADDED MASSES... 23 1.3.1 TWO DIMENSIONAL THEORY 23 1.3.2 SIMPLIFIED
MODEL 29 1.3.3 ADDED MASSES STIFFNESS 33 1.3.4 DETERMINATION OF
DYNAMICAL CHARACTERISTICS 38 1.3.5 ALGORITHMS AND NUMERICAL RESULTS 51
1.4 DYNAMICAL CHARACTERISTICS OF PLATES WITH ADDED MASSES 56 1.4.1
TIMOSHENKO S KINEMATIC MODEL 56 1.4.2 SPATIAL THEORY OF ELASTICITY 59
1.4.3 THREE DIMENSIONAL PROBLEM 65 1.4.4 ALGORITHMS 69 1.4.5 FREQUENCY
SPECTRA COMPARISON OF THREE DIMENSIONAL AND APPROXIMATE THEORIES 73
1.4.6 INFLUENCE OF THE ADDED MASSES - NUMERICAL INVESTIGATION 82 1.4.7
FUNDAMENTAL CONCLUSIONS 91 2 RATIONAL DESIGN OF PLATES AND SHELLS 9 3
2.1 INTRODUCTION 93 2.2 ORTHOTROPIC PLATES AND SHELLS WITH VARIABLE
THICKNESS AND LOW STIFFNESS 94 2.2.1 FREQUENCY SPECTRA PROPERTIES OF
ORTHOTROPIC SHELLS WITH VARIABLE THICKNESS 94 2.2.2 FINITE DIMENSIONAL
APPROXIMATION OF FREE VIBRATIONS OF THE TIMOSHENKO LIKE SHELL 101 X
TABLE OF CONTENTS 2.2.3 ALGORITHMS FOR THE MB AND MVI METHODS 107 2.2.4
ANALYSIS OF FREE VIBRATIONS OF TRANSVERSAL-ISOTROPIC PLATES 122 2.3
RATIONAL DESIGN OF PLATES WITH FINITE TRANSVERSAL STIFFNESS ... 125
2.3.1 PLATES AND SHELLS MASS OPTIMIZATION WITH FREE VIBRATION
FREQUENCIES CONSTRAINTS 126 2.3.2 FINITE DIMENSIONAL APPROXIMATIONS OF
THE RATIONAL DESIGN OF PLATES AND SHELLS 129 2.3.3 TIMOSHENKO-LIKE
RECTANGULAR PLATES WITH STIFF AND ROLLING SUPPORTS 134 2.4 OPTIMIZATION
OF PLATES AND SHELLS SURFACES WITH CONSTRAINTS . 144 2.4.1 SHELLS
OPTIMIZATION - FORMULATION OF THE PROBLEM .... 144 2.4.2 ALGORITHM FOR
OPTIMAL SURFACE SEARCH 147 2.4.3 DESIGN OF PLATES AND SHELLS WITH
CONSTANT THICKNESS AND ROLLING SUPPORTS 151 2.5 VIBROISOLATION OF A
CONSTRUCTION WITH SHELLS ELEMENTS 159 2.5.1 NONLINEAR FORCED VIBRATIONS
OF THE TIMOSHENKO LIKE SHELLS 160 2.5.2 OPTIMAL
VIBROISOLATION-FORMULATION OF THE PROBLEM AND VIBROISOLATION HARMONIE
EXCITATION 170 2.5.3 ALGORITHM OF THE OPTIMAL VIBROISOLATION OF
TIMOSHENKO-LIKE SHELLS 175 2.6 GENERALISATIONS 175 3 ORDER REDUCTION BY
PROPER ORTHOGONAL DECOMPOSITION (POD) ANALYSIS 177 3.1 THE POD METHOD
177 3.1.1 INTRODUCTION 177 3.1.2 THEORETICAL BASIS 179 3.2 APPLICATION
OF POD TO VIBRO-IMPACT CONTINUOUS OSCILLATORS . 183 3.2.1
VIBRO-IMPACTING BEAM 183 3.2.2 OVERHUNG ROTOR 191 3.3 COHERENT SPATIAL
STRUCTURES IN EXTENDED SYSTEMS 200 3.3.1 COMPUTATION OF THE TRANSIENT
DYNAMICS 201 3.3.2 POD ANALYSIS OF THE TRUSS DYNAMICS 210 3.3.3 POD
BASED REDUCED-ORDER MODELS 213 3.3.4 EXPERIMENTAL RESULTS 222 3.4 POD
STUDY OF THE INTERACTION OF SLOW AND FAST DYNAMICS ... 228 3.4.1
FORMULATION OF THE PROBLEM 228 3.4.2 REGULAER MOTIONS 231 3.4.3 CHAOTIC
MOTIONS 233 TABLE OF CONTENTS XI 4 ANALYTIC MODELLING OF DISCRETENESS
EFFECTS IN CONTINUOUS SYSTEMS 239 4.1 THE METHOD OF NON-SMOOTH
TRANSFORMATIONS 239 4.2 ELASTIC CONTINUUM ON DISCRETE ELASTIC NONLINEAR
FOUNDATION . 245 4.2.1 ASYMPTOTIC ANALYSIS 245 4.3 STATIC BUECKLING OF A
CIRCULAR RING COMPRESSIVE LOADS 256 5 CONTINUOUS SYSTEMS WITH NON-SMOOTH
NONLINEARITIES ..... 269 5.1 TRANSIENT LOCALIZATION DUE TO BACKLASH
NONLINEARITIES 269 5.1.1 TRANSIENT LOCALIZATION AND BEAT PHENOMENA DUE
TO CLEARANCE 270 5.1.2 ORDER REDUCTION AND RESPONSE RECONSTRUCTION 274
5.1.3 NONLINEAR ANALYSIS 279 5.1.4 ADDITIONAL EXAMPLES 282 5.2 NONLINEAR
LOCALIZATION IN SYSTEMS OF VIBRO-IMPACTING BEAMS 286 5.2.1 NUMERICAL
RESULTS - NONLINEAR LOCALIZATION DUE TO VIBRO-IMPACTS 290 5.2.2
EXPERIMENTAL RESULTS - NONLINEAR LOCALIZATION DUE TO VIBRO-IMPACTS 298
5.3 VIBRO-IMPACT MOTIONS OF A ROTARY SYSTEM 303 REFERENCES 315 INDEX 329
|
| any_adam_object | 1 |
| author | Awrejcewicz, Jan 1952- Krysʹko, Vadim A. 1937- Vakakis, Alexander F. |
| author_GND | (DE-588)120089122 (DE-588)124016731 |
| author_facet | Awrejcewicz, Jan 1952- Krysʹko, Vadim A. 1937- Vakakis, Alexander F. |
| author_role | aut aut aut |
| author_sort | Awrejcewicz, Jan 1952- |
| author_variant | j a ja v a k va vak a f v af afv |
| building | Verbundindex |
| bvnumber | BV017651961 |
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| dewey-full | 624.1/776 |
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| dewey-search | 624.1/776 |
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| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik Bauingenieurwesen |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:20:22Z |
| institution | BVB |
| isbn | 3540205152 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010615491 |
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| physical | XI, 341 S. Ill., graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| spelling | Awrejcewicz, Jan 1952- Verfasser (DE-588)120089122 aut Nonlinear dynamics of continuous elastic systems Jan Awrejcewicz ; Vadim A. Krys'ko ; A. F. Vakakis Berlin u.a. Springer 2004 XI, 341 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dynamics Elastic plates and shells Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Elastische Platte (DE-588)4151682-5 gnd rswk-swf Elastische Schale (DE-588)4151689-8 gnd rswk-swf Elastische Platte (DE-588)4151682-5 s Nichtlineare Dynamik (DE-588)4126141-0 s DE-604 Elastische Schale (DE-588)4151689-8 s Krysʹko, Vadim A. 1937- Verfasser (DE-588)124016731 aut Vakakis, Alexander F. Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010615491&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Awrejcewicz, Jan 1952- Krysʹko, Vadim A. 1937- Vakakis, Alexander F. Nonlinear dynamics of continuous elastic systems Dynamics Elastic plates and shells Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd Elastische Platte (DE-588)4151682-5 gnd Elastische Schale (DE-588)4151689-8 gnd |
| subject_GND | (DE-588)4126141-0 (DE-588)4151682-5 (DE-588)4151689-8 |
| title | Nonlinear dynamics of continuous elastic systems |
| title_auth | Nonlinear dynamics of continuous elastic systems |
| title_exact_search | Nonlinear dynamics of continuous elastic systems |
| title_full | Nonlinear dynamics of continuous elastic systems Jan Awrejcewicz ; Vadim A. Krys'ko ; A. F. Vakakis |
| title_fullStr | Nonlinear dynamics of continuous elastic systems Jan Awrejcewicz ; Vadim A. Krys'ko ; A. F. Vakakis |
| title_full_unstemmed | Nonlinear dynamics of continuous elastic systems Jan Awrejcewicz ; Vadim A. Krys'ko ; A. F. Vakakis |
| title_short | Nonlinear dynamics of continuous elastic systems |
| title_sort | nonlinear dynamics of continuous elastic systems |
| topic | Dynamics Elastic plates and shells Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd Elastische Platte (DE-588)4151682-5 gnd Elastische Schale (DE-588)4151689-8 gnd |
| topic_facet | Dynamics Elastic plates and shells Nonlinear theories Nichtlineare Dynamik Elastische Platte Elastische Schale |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010615491&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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