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2. 26), if it exists, describes the free oscillations of the fluid which fills the domain f~. Such an oscillation is called a resonance mode; the corresponding wavenumber (resp. frequency) is called a resonance wavenumber (resp. resonance frequency). The role of these resonance modes will appear clearly in the calculation of transient regimes. It must be noticed that, if two resonance modes correspond to two different resonance frequencies, they satisfy different boundary conditions: indeed, the coefficients ~ka, t~k/3 and ~k7 are generally frequency dependent (through the factor k but also because the impedance of a material depends on the frequency).

7 x 10 7 rayls. 5. General behaviour Elastic waves in solids behave like acoustic waves in fluids: they are subjected to propagation, refraction, reflection and scattering phenomena. Simply, they are polarized waves (vector waves). One has merely to consider independently pressure waves and shear waves and m a k e them interact at discontinuities. 4. Conclusion We have given the material necessary to derive acoustic equations in rather general cases but have treated only the simplest case of perfect simple fluid or elastic solid initially homogeneous and at rest.

5 x 107 rayls. 7 x 10 7 rayls. 5. General behaviour Elastic waves in solids behave like acoustic waves in fluids: they are subjected to propagation, refraction, reflection and scattering phenomena. Simply, they are polarized waves (vector waves). One has merely to consider independently pressure waves and shear waves and m a k e them interact at discontinuities. 4. Conclusion We have given the material necessary to derive acoustic equations in rather general cases but have treated only the simplest case of perfect simple fluid or elastic solid initially homogeneous and at rest.

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Acoustics. Basic Physics, Theory and Methods by P. Filippi, et al.


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