By M. S. Howe
Acoustics of Fluid-Structure Interactions addresses an more and more vital department of fluid mechanics--the absorption of noise and vibration by way of fluid movement. This topic, which bargains a number of demanding situations to traditional components of acoustics, is of becoming crisis in areas the place the surroundings is adversely plagued by sound. Howe provides worthwhile history fabric on fluid mechanics and the effortless suggestions of classical acoustics and structural vibrations. utilizing examples, a lot of which come with entire labored strategies, he vividly illustrates the theoretical recommendations concerned. He presents the root for all calculations beneficial for the decision of sound new release via airplane, ships, normal air flow and combustion structures, in addition to musical tools. either a graduate textbook and a reference for researchers, Acoustics of Fluid-Structure Interactions is a vital synthesis of knowledge during this box. it is going to additionally reduction engineers within the concept and perform of noise keep an eye on.
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Extra resources for Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics)
21), where V4 = (d2/dx2 + d2/ds2)2, ds = Rdh. 3. Coordinates used in the membrane theory of a cylindrical shell. 21) ; these are important in the modeling of very lowfrequency vibrations (well below the "ring frequency" co = ci/R). 19) when the wavelength is much larger than the cylinder diameter. 22) where vx is the component of fluid velocity in the x-direction, rj is the shear viscosity, and the derivative on the right-hand side is evaluated at r = R. 17) because the effective stiffness is reduced by lateral motions of the cylinder in radial directions, whereas for the plate, such motions can occur only in the direction normal to the plate.
25) is pOQ K, pOO+l€ J3k / t) = / J — OO 1 7 27) J — OQ+i€ where e (>a) is sufficiently large and positive that the path of integration in the &>-plane passes above all singularities of the integrand. Example 8. 18)) in the form 1 G(x,j9t-T)= / 3k poo+ie ^/[k-(x—y)— / (27T)4 J . J—OQ+i€ * V dco. 2). When t > x, we can let e -> +0, that is, take the path in the w-plane to be just above the real axis. 2 could then be reproduced by interchanging the orders of integration, performing that with respect to k before the ^-integration.
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. 17) are approximately satisfied. 4) may be simplified by neglecting differences in the retarded times t — |x — y }/co & t — \x\/co for different positions y within the source region. 5) where all terms decaying faster than l/|x| have been discarded because, according to the inverse square law, they can make no contribution to the radiation of energy to infinity.
Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics) by M. S. Howe