April 2016
Intermediate to advanced
297 pages
8h 37m
English
Content preview from Structural Acoustics
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14 Structural Acoustics: Deterministic and Random Phenomena
© 2011 by Taylor and Francis Group, LLC
where S is called the condensation. By substituting Equation 2.2 into Equation
2.1a, we obtain
( )( )1 1 1+ + ∂ ∂ =S xξ/ (2.3)
If p is the sound pressure at x, then p + ∂p/∂x dx is the sound pressure at x +
dx (by expanding p into a Taylor series in x and neglecting higher order terms
in dx). Applying Newton’s law to the differential element, we nd that
−
∂
∂
=
∂
∂
p
x t
ρ
ξ
o
2
2
(2.4)
If it is assumed that the process of sound propagation is adiabatic (i.e.,
there is no change of heat during the process), then the pressure and density
are related by ...
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