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...
Guardado en:
| Autor principal: | |
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| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2011. |
| Colección: | Lecture Notes in Mathematics
2023 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
Tabla de Contenidos:
- 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.