Holdings: Damped oscillations of linear systems

Damped oscillations of linear systems: a mathematical introduction

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Bibliographic Details
Main Author:	Veselić, Krešimir (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2011
Series:	Lecture notes in mathematics 2023
Subjects:	Gedämpftes System Schwingung Mathematisches Modell Lineares System Schwingungsdämpfung
Online Access:	Inhaltstext Inhaltsverzeichnis
Physical Description:	XV, 209 S. graph. Darst.
ISBN:	3642213340 9783642213342

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MARC


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Record in the Search Index

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adam_text	IMAGE 1 CONTENTS 1 THE MODEL 1 1.1 NEWTON'S LAW 3 1.2 WORK AND ENERGY 4 1.3 THE FORMALISM OF LAGRANGE 6 1.4 OSCILLATING ELECTRICAL CIRCUITS 12 2 SIMULTANEOUS DIAGONALISATION (MODAL DAMPING) 15 2.1 UNDAMPED SYSTEMS 15 2.2 FREQUENCIES AS SINGULAR VALUES 19 2.3 MODALLY DAMPED SYSTEMS 20 3 PHASE SPACE 23 3.1 GENERAL SOLUTION 23 3.2 ENERGY PHASE SPACE 24 4 THE SINGULAR MASS CASE 29 5 'INDEFINITE METRIC' 39 5.1 SYLVESTER INERTIA THEOREM 41 6 MATRICES AND INDEFINITE SCALAR PRODUCTS 49 7 OBLIQUE PROJECTIONS 55 8 J-ORTHOGONAL PROJECTIONS 61 9 SPECTRAL PROPERTIES AND REDUCTION OF J-HERMITIAN MATRICES 67 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1011273586 DIGITALISIERT DURCH IMAGE 2 XII CONTENTS 10 DEFINITE SPECTRA 73 11 GENERAL HERMITIAN MATRIX PAIRS 89 12 SPECTRAL DECOMPOSITION OF A GENERAL J-HERMITIAN MATRIX 93 12.1 CONDITION NUMBERS 105 13 THE MATRIX EXPONENTIAL 113 14 THE QUADRATIC EIGENVALUE PROBLEM 121 15 SIMPLE EIGENVALUE INCLUSIONS 129 16 SPECTRAL SHIFT 135 17 RESONANCES AND RESOLVENTS 139 18 WELL-POSEDNESS 143 19 MODAL APPROXIMATION 145 20 MODAL APPROXIMATION AND OVERDAMPEDNESS 159 20.1 MONOTONICITY-BASED BOUNDS 162 21 PASSIVE CONTROL 167 21.1 MORE ON LYAPUNOV EQUATIONS 170 21.2 GLOBAL MINIMUM OF THE TRACE 172 21.3 LYAPUNOV TRACE VS. SPECTRAL ABSCISSA 178 22 PERTURBING MATRIX EXPONENTIAL 185 23 NOTES AND REMARKS 193 REFERENCES 203 INDEX 207
any_adam_object	1
author	Veselić, Krešimir
author_GND	(DE-588)1017472467
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dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	530 - Physics
dewey-raw	530.15
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dewey-tens	530 - Physics
discipline	Physik Mathematik
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spelling	Veselić, Krešimir Verfasser (DE-588)1017472467 aut Damped oscillations of linear systems a mathematical introduction Krešimir Veselić Berlin [u.a.] Springer 2011 XV, 209 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2023 Gedämpftes System (DE-588)4772157-1 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Schwingungsdämpfung (DE-588)4180564-1 gnd rswk-swf Schwingungsdämpfung (DE-588)4180564-1 s Lineares System (DE-588)4125617-7 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Schwingung (DE-588)4053999-4 s Gedämpftes System (DE-588)4772157-1 s 1\p DE-604 Erscheint auch als Online-Ausgabe 978-3-642-21335-9 Lecture notes in mathematics 2023 (DE-604)BV000676446 2023 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3719734&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024372911&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
spellingShingle	Veselić, Krešimir Damped oscillations of linear systems a mathematical introduction Lecture notes in mathematics Gedämpftes System (DE-588)4772157-1 gnd Schwingung (DE-588)4053999-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Lineares System (DE-588)4125617-7 gnd Schwingungsdämpfung (DE-588)4180564-1 gnd
subject_GND	(DE-588)4772157-1 (DE-588)4053999-4 (DE-588)4114528-8 (DE-588)4125617-7 (DE-588)4180564-1
title	Damped oscillations of linear systems a mathematical introduction
title_auth	Damped oscillations of linear systems a mathematical introduction
title_exact_search	Damped oscillations of linear systems a mathematical introduction
title_full	Damped oscillations of linear systems a mathematical introduction Krešimir Veselić
title_fullStr	Damped oscillations of linear systems a mathematical introduction Krešimir Veselić
title_full_unstemmed	Damped oscillations of linear systems a mathematical introduction Krešimir Veselić
title_short	Damped oscillations of linear systems
title_sort	damped oscillations of linear systems a mathematical introduction
title_sub	a mathematical introduction
topic	Gedämpftes System (DE-588)4772157-1 gnd Schwingung (DE-588)4053999-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Lineares System (DE-588)4125617-7 gnd Schwingungsdämpfung (DE-588)4180564-1 gnd
topic_facet	Gedämpftes System Schwingung Mathematisches Modell Lineares System Schwingungsdämpfung
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3719734&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024372911&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT veselickresimir dampedoscillationsoflinearsystemsamathematicalintroduction

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