By M. S. Howe
Acoustics of Fluid-Structure Interactions addresses an more and more very important department of fluid mechanics--the absorption of noise and vibration through fluid move. This topic, which bargains a number of demanding situations to traditional parts of acoustics, is of transforming into difficulty in locations the place the surroundings is adversely suffering from sound. Howe provides helpful heritage fabric on fluid mechanics and the straightforward strategies of classical acoustics and structural vibrations. utilizing examples, a lot of which come with whole labored strategies, he vividly illustrates the theoretical strategies concerned. He presents the root for all calculations valuable for the selection of sound new release through plane, ships, normal air flow and combustion platforms, in addition to musical tools. either a graduate textbook and a reference for researchers, Acoustics of Fluid-Structure Interactions is a vital synthesis of data during this box. it's going to additionally relief engineers within the conception and perform of noise keep watch over.
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Extra resources for Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics)
Provided Fijk... (y, T)——- xG(x,y, t-x) d3ydr. (y> T ) G ( X , y,t-z) d3ydx. 3) • • • J_oo This formula is applicable for propagation in one, two, or three dimensions. 2 Compact Sources A source of characteristic frequency co radiates sound of wavelength ^2nco/co. When the extent of the fluid region occupied by the source ~£, the source is acoustically compact if col/co = Kol <^ 1, that is, if I is much smaller than the wavelength. Assuming the coordinate origin to be within the source region, a point x is said to be in the acoustic far field, many acoustic wavelengths from the source, when KO\X\ ^> 1.
5 Wave Propagation in a Cylindrical Shell The analysis of wave motions on thin shells is much more complicated than for the plane geometry discussed earlier. There exists a multitude of approximate theories ; only the very simplest "membrane" theory will be discussed. In this approximation, transverse shear forces and bending and twisting moments are neglected, and the motion is assumed to be governed by the action of normal and shear forces in the midsurface of the shell [7, 16]. The potential energy of deformation is accordingly determined by the stretching of the midsurface and is proportional to the shell thickness h.
Establish the reciprocal relation p/C = -Qf/m\ where m! is the strength of a reciprocal volume source in the ambient fluid, p is the pressure generated at the source by the couple, and QI is the angular velocity of the plate produced by the source m' about the axis of the couple at its point of application. (x^, co) = pf(xq, co) when F = F' = 0 and m = ml', that is, the pressure at x^ due to a point source at xq> is equal to the pressure at xq> when the same source is placed at xq.