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OverviewThis 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. Full Product DetailsAuthor: Kazumi WatanabePublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 2nd ed. 2015 Volume: 76 Dimensions: Width: 15.50cm , Height: 1.50cm , Length: 23.50cm Weight: 4.277kg ISBN: 9783319345871ISBN 10: 3319345877 Pages: 264 Publication Date: 09 October 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsDefinition 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.ReviewsAuthor InformationProfessor Watanabe is retired professor (2012) of mechanical engineering; he is active member of the advisory board of Acta Mechanica and has already co-edited a book at Springer Tab Content 6Author Website:Countries AvailableAll regions |
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