Integral Transform Techniques for Green's Function / / by Kazumi Watanabe
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| Autore: |
Watanabe Kazumi
|
| Titolo: |
Integral Transform Techniques for Green's Function / / by Kazumi Watanabe
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Edizione: | 2nd ed. 2015. |
| Descrizione fisica: | 1 online resource (274 p.) |
| Disciplina: | 515.72 |
| 519 | |
| 620 | |
| 620.1 | |
| Soggetto topico: | Engineering mathematics |
| Engineering - Data processing | |
| Mechanics, Applied | |
| Mathematical analysis | |
| Mathematical and Computational Engineering Applications | |
| Engineering Mechanics | |
| Integral Transforms and Operational Calculus | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Definition of integral transforms and distributions -- Green's functions for Laplace and wave equations -- Green's dyadic for an isotropic elastic solid -- Acoustic wave in an uniform flow -- Green's functions for beam and plate -- Cagniard de Hoop technique -- Miscellaneous Green's functions -- Exercises. |
| Sommario/riassunto: | This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green’s functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail, and 2D and 3D elastodynamic problems are treated in full. This new edition explains in detail how to introduce the branch cut for the multi-valued square root function. Further, an exact closed form Green’s function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral. |
| Titolo autorizzato: | Integral Transform Techniques for Green's Function |
| ISBN: | 3-319-17455-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910299833903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Applied and Computational Mechanics, . 1860-0816 ; ; 76