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By Paul Filippi,Aime Bergassoli,Dominique Habault, et al.Elsevier|Elsevier Science||Academic PressAdult NonfictionScience, TechnologyLanguage(s): EnglishOn sale date: 31.05.2011Street date: 23.09.1998

ISBN-10: 0080498558

ISBN-13: 9780080498553

The e-book is dedicated to the very foundation of acoustics and vibro-acoustics. The physics of the phenomena, the analytical tools and the trendy numerical recommendations are provided in a concise shape. Many examples illustrate the elemental difficulties and predictions (analytic or numerical) and are frequently in comparison to experiments. a few emphasis is wear the mathematical instruments required by means of rigorous concept and trustworthy prediction methods.

Key Features

  • a sequence of useful difficulties, which replicate the content material of every chapter
  • reference to the foremost treatises and basic contemporary papers
  • current computing recommendations, utilized in challenge fixing
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    Extra info for Acoustics. Basic Physics, Theory, and Methods

    Example text

    Thesis. The reason for writing this book was, at the time we began, the lack of textbooks. Most of the books were either too specialized, and thus almost incomprehensible for students, or too exhaustive. We needed a basic course which could be presented within a rather short period of time to students who had a fair background in Mathematics and Mechanics but often no knowledge of Acoustics. The purpose of this book is to present the main basis of modelling in Acoustics. The expression ‘modelling’ used here includes the procedures used to describe a physical phenomenon by a system of equations and then to solve this system by analytical and/or numerical methods.

    In a first step, we recall basic equations of the mechanics of continua for the rather general case of a thermo-viscous fluid or a thermo-elastic solid. One obtains all material necessary for derivation of the acoustic equations in complex situations. In a second step we restrict ourselves to perfect simple fluids or elastic solids and linearize equations around an initial homogeneous steady state, leading to basic equations of elementary acoustics and elastic waves. Development of these simple cases are then proposed.

    Let us consider the variable change (x, t) → (ξ, n), where ξ = t – (x/c0) and η = t + (x/c0), and let f(ξ, η) = Φ(x, t). The wave equation is transformed to ∂2f/∂ξ ∂η = 0. This equation can be integrated: ∂f∂η=F(η)⇒f=f+(ξ)+∫F(η)dη=f+(ξ)+f−(η) with f‒ (η) = ∫ F(η) dη. f+(t – (x/c0)) and f‒(t + (x/c0)) are called respectively progressive and regressive waves (the first one propagates in the direction of positive x and the second one in the direction of negative x). Green’s function. e. 50) where Y(t) = 0 (t < 0), Y(t) =1 (t > 0) is the Heaviside function.

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    Acoustics. Basic Physics, Theory, and Methods by Paul Filippi,Aime Bergassoli,Dominique Habault, et al.Elsevier|Elsevier Science||Academic PressAdult NonfictionScience, TechnologyLanguage(s): EnglishOn sale date: 31.05.2011Street date: 23.09.1998


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