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Record Nr. |
UNINA9910299833903321 |
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Autore |
Watanabe Kazumi |
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Titolo |
Integral Transform Techniques for Green's Function / / by Kazumi Watanabe |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
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ISBN |
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Edizione |
[2nd ed. 2015.] |
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Descrizione fisica |
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1 online resource (274 p.) |
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Collana |
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Lecture Notes in Applied and Computational Mechanics, , 1860-0816 ; ; 76 |
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Disciplina |
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Soggetti |
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Engineering mathematics |
Engineering - Data processing |
Mechanics, Applied |
Mathematical analysis |
Mathematical and Computational Engineering Applications |
Engineering Mechanics |
Integral Transforms and Operational Calculus |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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