By Paul Filippi, Aime Bergassoli, Dominique Habault, Jean Pierre Lefebvre
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 ideas are provided 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 way of rigorous idea and trustworthy prediction methods.
- A series of functional difficulties, which replicate the content material of every chapter
- Reference to the most important treatises and primary fresh papers
- Current computing ideas, utilized in challenge solving
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Extra resources for Acoustics: basic physics, theory and methods
Ultrasonic absorption. Oxford University Press, London. F. , 1959. Absorption and dispersion of ultrasonic waves. Academic Press, New York. , 1971. II, part A: Properties of gases, liquids and solutions. Academic Press, New York. T. Filippi Introduction This chapter deals with a few methods of common use for the study of the sound field inside an enclosure: factory halls, concert halls, theatres, airplane cabins, cars, trucks .... In the first section, the equations which govern the phenomena are presented and the conditions for existence and uniqueness of the solution are stated" the notions of resonance frequencies and resonance modes (flee oscillations), as well as eigenfrequencies and eigenmodes are introduced.
5) The functions f(M) and p(M) are respectively called the complex amplitudes of the source and of the sound pressure. It must be kept in mind that a microphone or the ear is sensitive to the function ~b(M, t) and not to its complex representation. 7) This equation is called the Helmholtz equation. 3. Boundary condition for harmonic regimes A perfectly rigid boundary remains characterized by the Neumann condition; the liquid-gas interface is still described by a Dirichlet condition. 8) C H A P T E R 2.
Time rate input of mass per unit volume, or mass injection per unit volume per unit time: dimension M L - 3 T -1 in mass M, length L, time T). The radiation condition of mass flow inputs is their non-stationarity. In this category one finds unsteady or transient flows and all usual sources of 'domestic' acoustics (vibrating surfaces acting as pistons injecting matter). e. supply of body forces per unit volume, dimension M L - Z T - 2 ) . The radiation condition for supplied forces is their space non-uniformity.
Acoustics: basic physics, theory and methods by Paul Filippi, Aime Bergassoli, Dominique Habault, Jean Pierre Lefebvre