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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Edición: | 1st ed. 2011. |
| Colección: | Lecture Notes in Mathematics,
2023 |
| Temas: | |
| Acceso en línea: | Texto Completo |
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.