April 2016
Intermediate to advanced
297 pages
8h 37m
English
Content preview from Structural Acoustics
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Fundamentals of Acoustics and Structural Acoustics 39
© 2011 by Taylor and Francis Group, LLC
R
1
,φ
1
, and θ
1
are the spherical coordinates of point P
1
in the far eld; and a
R1
is a unit vector in the direction of R
1
(the radius vector from the origin to the
far eld point). Thus, a
R1
R
S1
is the projection of Rs
1
on R1, making R
1
– a
R1
Rs
1
the distance from the far eld point to the surface point.
Assume the acceleration distribution of the cylindrical surface to be that of
a freely supported shell subdivided into its modes—that is,
w S A q
B q
m
n mq
qm
mq
( ) ( cos
sin )sin
=
+
=
∞
=
∞
∑∑
ϕ
ϕ
π
1
01
zz
l
(2.99)
Expression 2.99 is a half-range Fourier expa ...
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