
88 Structural Acoustics: Deterministic and Random Phenomena
© 2011 by Taylor and Francis Group, LLC
Natural Frequencies (for b/a = 2)
First Symmetrical Mode F
1
2
9730 0 5
24
24 6=
×
×
.
( )
. 00 208
9730 0
2
=
=
×
cps
Second Symmetrical Mode F
.
55
24
45 00 380
2
( )
.× = cps
Third Symmetrical Mod e
FF
3
2
9730 0 5
24
87 50 7 39=
×
× =
.
( )
. cps
Fouth Symmet
rrical Mode cpsF
4
2
9730 0 5
24
123 00 1043=
×
× =
.
( )
.
(5.42)
Natural Periods
T
t
T
T
1
1
1
2
0 0048
0 0050
0 0048
1 04= = =
=
.
.
.
.sec hence
00 0026
0 0050
0 0026
1 92
0 0014
1
2
3
. sec
.
.
.
.
t
T
T
= =
= ssec
.
.
.
. sec
t
T
T
t
T
1
3
4
1
4
0 0050
0 0014
3 57
0 0010
= =
=
== =
0 0050
0 0010
5 00
.
.
.
(5.43)
Load Factors
Referring to Figure5.2, the following load factors are obta