Damped Oscillations of Linear Systems : A Mathematical Introduction
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...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2011. |
| Serier: | Lecture Notes in Mathematics
2023 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
L'impression du document génère 214 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Damped oscillations of linear systems, a mathematical introduction, Krešimir Veselić, Berlin, Springer, 2011, 1 vol. (XV-209 p.), Lecture notes in mathematics, 978-3-642-21334-2 |
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| 100 | 1 | |a Veselić, Krešimir, |d 19..- | |
| 245 | 1 | 0 | |a Damped Oscillations of Linear Systems : |b A Mathematical Introduction |c Krešimir Veselić. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2023 |x 1617-9692 | |
| 500 | |a L'impression du document génère 214 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1 The model 2 Simultaneous diagonalisation (Modal damping) 3 Phase space 4 The singular mass case 5 "Indefinite metric" 6 Matrices and indefinite scalar products 7 Oblique projections 8 J-orthogonal projections 9 Spectral properties and reduction of J-Hermitian matrices 10 Definite spectra 11 General Hermitian matrix pairs 12 Spectral decomposition of a general J-Hermitian matrix 13 The matrix exponential 14 The quadratic eigenvalue problem 15 Simple eigenvalue inclusions 16 Spectral shift 17 Resonances and resolvents 18 Well-posedness 19 Modal approximation 20 Modal approximation and overdampedness 21 Passive control 22 Perturbing matrix exponential 23 Notes and remarks. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic 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. | ||
| 650 | |a Oscillateurs harmoniques | ||
| 650 | |a Systèmes linéaires | ||
| 650 | |a Théorie de la commande | ||
| 650 | |a Mathématiques | ||
| 650 | |a Physique mathématique | ||
| 776 | 0 | |0 154892300 |t Damped oscillations of linear systems |o a mathematical introduction |f Krešimir Veselić |c Berlin |n Springer |d 2011 |p 1 vol. (XV-209 p.) |s Lecture notes in mathematics |z 978-3-642-21334-2 | |
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