INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783642213342 (pbk.)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-53742
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Damped oscillations of linear systems
General Material Designation
[Book]
Other Title Information
:a mathematical introduction
First Statement of Responsibility
/ Kreesimir Veseliac
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin ;London ;New York
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, c2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 209 p. , ill. , 23 cm.
SERIES
Series Title
(Lecture notes in mathematics
Volume Designation
; 2023)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 203-206) and index.
CONTENTS NOTE
Text of Note
The model -- Simultaneous diagonalisation (modal dumping) -- Phase space -- The singular mass case -- 'Indefinite Metric' -- Matrices and indefinite scalar products -- Oblique projections -- J-orthogonal projections -- Spectral properties and reduction of J-Hermitian matrices -- Definite spectra --General Hermitian matrix pairs -- Spectral decomposition of a general J-Hermitian Matrix -- The matrix exponential -- The quadratic eigenvalue problem -- Simple eigenvalue inclusions -- Spectral shift -- Resonances and resolvents -- Well-posedness -- Modal approximation -- Modal approximation -- Modal approximation and overdampedness -- Passive control -- Perturbing matrix exponential --Notes and remarks.
Text of Note
"The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics. This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear systems model, a largely self-contained mathematical theory for this model is presented. this includes the geometry of the underlying indefinite eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution."--P. [4] of cover.
SERIES
Title
Lecture notes in mathematics (Springer-Verlag)
Volume Number
2023
TOPICAL NAME USED AS SUBJECT
Harmonic oscillators, Textbooks
Linear systems, Textbooks
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Veseliac, Kreesimir.
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783642213342.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783642213342.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
