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Titlebook: Integral Transform Techniques for Green‘s Function; Kazumi Watanabe Book 2015Latest edition Springer International Publishing Switzerland

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发表于 2025-3-21 16:13:02 | 显示全部楼层 |阅读模式
书目名称Integral Transform Techniques for Green‘s Function
编辑Kazumi Watanabe
视频video
概述A valuable reference book for engineers.Includes full descriptions of the Cagniard-de Hoop technique and the branch cut for square root functions.Employs a unified mathematical technique as the soluti
丛书名称Lecture Notes in Applied and Computational Mechanics
图书封面Titlebook: Integral Transform Techniques for Green‘s Function;  Kazumi Watanabe Book 2015Latest edition Springer International Publishing Switzerland
描述.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..
出版日期Book 2015Latest edition
关键词Cagniard‘s-de Hoop Techniques; Exact Solutions; Green‘s Function and Dyadic; Integral Transform; Wave Ph
版次2
doihttps://doi.org/10.1007/978-3-319-17455-6
isbn_softcover978-3-319-34587-1
isbn_ebook978-3-319-17455-6Series ISSN 1613-7736 Series E-ISSN 1860-0816
issn_series 1613-7736
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 21:17:47 | 显示全部楼层
Cagniard-de Hoop Technique,ier inversion integral is converted to the form of Laplace transform integral and then its Laplace inversion is carried out by inspection without using any integration formula. The Green‘s function for a single SH-wave and the Green‘s dyadics for coupled P, SV and SH-waves are obtained exactly.
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发表于 2025-3-22 07:33:50 | 显示全部楼层
Book 2015Latest editionuare 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..
发表于 2025-3-22 11:47:52 | 显示全部楼层
Definition of Integral Transforms and Distributions, The discussion on the argument of the root function along the branch cut is unique and instructive for the reader, when he/she starts to apply the complex integral to the inverse transform. The last short comment lists some important formula books which are crucial for the inverse transform, i.e. the evaluation of the inversion integral.
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Acoustic Wave in a Uniform Flow, obtain the time-harmonic response. An application technique of the complex integral is also demonstrated in order to transform an infinite integral along the complex line to that along the real axis in the complex plane. It enabled us to apply the tabulated integration formula.
发表于 2025-3-23 02:53:33 | 显示全部楼层
978-3-319-34587-1Springer International Publishing Switzerland 2015
发表于 2025-3-23 08:14:07 | 显示全部楼层
Integral Transform Techniques for Green‘s Function978-3-319-17455-6Series ISSN 1613-7736 Series E-ISSN 1860-0816
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