Civil Engineering Reference
In-Depth Information
where
c
rms
denotes the RMS-value of the harmonic components. Using the complex form
of Equation
(1.6)
we get
2
2
k
=+∞
k
=+∞
∑∑
2
x
=
x
( )
t
=
X
=
2
X
with
X
=
0.
(1.12)
rms
k
k
0
k
=−∞
k
=
0
1.5
1.0
0.5
0.0
-0.5
-1.0
-1.5
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.10
Time (s)
Figure 1.3
Periodic time function.
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.0
0
100
200
300
400
500
Frequency (Hz)
Figure 1.4
Frequency amplitude spectrum of the time function in
Figure 1.3
.
