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## ACOUSTICS BY ALEXANDER Wood - Dover Edition The Theory of Sound ( Paperback) - $ | PicClick

New Releases. The Theory of Sound: v. Free delivery worldwide. Expected to be delivered to Germany by Christmas. Description "An outstanding treatise. The book sums up previous research and offers original contributions of Lord Rayleigh. It is, therefore, not only a reference book, but a book of great practical utility for all readers concerned with scientific aspects of sound.

Volume 1 covers harmonic vibrations, systems with one degree of freedom, vibrating systems in general, transverse vibrations of strings, longitudinal and torsional vibrations of bars, vibrations of membranes and plates, curved shells and plates, and electrical vibrations. Volume II covers aerial vibrations, vibrations in tubes, reflection and refraction of plane waves, general equations, theory of resonators, Laplace's functions and acoustics, spherical sheets of air, vibration of solid bodies, and facts and theories of audition.

People who bought this also bought. Add to basket. Fundamentals of Acoustics Lawrence E. Fundamentals of Musical Acoustics Arthur H. An Introduction to Acoustics Robert H. Fluid Mechanics Robert A. Music, Physics and Engineering Harry F. Fundamentals of Physical Acoustics D. Values are typically frequency dependent and given in nepers per meter, dB per kilometer, or dB per wavelength Ref.

The propagation of sound in a solid happens through small-amplitude elastic oscillations of the solid's shape and structure. Example of the vibration analysis of a loudspeaker cabinet the deformation amplitude is exaggerated for visualization. Simulations can be used to identify vibration modes that radiate sound in an unwanted manner from a loudspeaker system. The equations that govern the propagation of linear elastic waves in solids are derived from the general governing equations of structural mechanics. The equations are linearized and formulated in the limit of small perturbations in the stress and strain.

The most general linear relation between the stress and strain tensors in solid materials can be written as. This is Hooke's law for a linear elastic material.

## An Introduction to Acoustics (Dover Books on Physics)

For small perturbations, the strain tensor on vector form is given by. The elastic wave equation is obtained from Newton's second law conservation of momentum and is given by. In the frequency domain, the dependent variable and sources are decomposed into their Fourier components. The resulting Helmholtz-like equation for the elastic waves in a solid is given by. Poroelastic waves describe the combined propagation of pressure waves and elastic waves in porous materials. The pressure waves propagate in the saturating fluid in the pores and the elastic waves propagate in the porous matrix frame.

In the limit where the porous matrix frame is almost motionless rigid , homogenized equivalent fluid models exist to describe the acoustic behavior. The same is true in the limp limit, where the frame follows the movement of the fluid. This description is not generally true for all frequencies or material parameters. Moreover, when the porous material is in contact with a vibrating solid surface, the elastic waves also need to be included. The model that describes the combined propagation solving for both the displacement and the pressure is given by the Biot theory.

In his seminal work from , Biot extended the classical theory of linear elasticity to porous media saturated with fluids see Ref. The porous matrix is described by linear elasticity. Damping is introduced by considering the frequency-dependent losses due to viscosity and thermal conduction of the saturating fluid in the pores.