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
The e-book is dedicated to the very foundation of acoustics and vibro-acoustics. The physics of the phenomena, the analytical equipment and the fashionable numerical options are offered in a concise shape. Many examples illustrate the basic 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 conception and trustworthy prediction methods.
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Extra info for Acoustics. Basic Physics, Theory, and Methods
E. Doak At the invitation of the authors, it is my privilege to contribute a Foreword to this book. It is an English-language version of the French-language Acoustique Générale, published in 1994 (which I reviewed in JSV 186(5)), translated into English and revised by the authors to make its contents more accessible to English speakers. Its contents are what is important. No other English-language book on acoustics contains as much concise information, both physically and mathematically rigorous, on the basic physical and theoretical concepts of acoustics and the methods of obtaining solutions applicable to practical problems of the mathematical problems of acoustics.
E. the acoustic impedance of the wave, equals, as for plane waves, the characteristic impedance of the medium Z0 = ρ0c0. At large distance a spherical wave behaves locally like a plane wave. For a spherical diverging harmonic wave of angular frequency ω with time dependence e‒ιwt (classical choice in theoretical acoustics), one has f+(ξ) = A+e‒ιwξ and so Φ=A+|x→|e−ιω(t−(|x→|/c0))=A+|x→|e−ιωte+ιk|x→|,withk=ωc0thewavenumber Thus, p1=−ρ0∂Φ∂t=ιωρ0A+|x→|e−ιωte+ιk|x→|=ιωρ0Φ,υ→1=∇Φ=ιk[1−1ιk|x→|]A+|x→|e−ιωte+ιk|x→|n→=ιk[1−1ιk|x→|]Φn→ and the relation between acoustic pressure and acoustic velocity becomes: υ→1=[1−1ιk|x→|]p1ρ0c0n→ and the large distance condition becomes k|x→|≫1, or, introducing the wavelength λ = 2π/k, |x→|≫λ/2π.
75) called the Snell–Descartes laws. 76) In practice one is interested in reflection and transmission coefficients for the acoustic pressure p1. e. p1(1)=P0(e−ιωte+ιk(1)(xcosθI+ysinθI)+rpe−ιωte+ιk(1)(xcosθR+ysinθR))p1(2)=P0e−ιωte+ιk(2)(xcosθT+ysinθT)withP0=ιωρ(1)Φ0 where rp and tp are defined as the reflection and transmission coefficients for the acoustic pressure (of the interface ∑). 77) One sees that the reflection coefficient for pressure and potential are the same and can be denoted r, but the transmission coefficients for pressure and potential are different.
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