Civil Engineering Reference
In-Depth Information
M
C, K
Figure 3.1 A SDOF system.
1
30
0.8
1995 Kobe earthquake
20
0.6
0.4
10
0.2
0
0
-0.2
-10
-0.4
-0.6
-20
-0.8
-1
-30
0
5
10
15
20
0
5
10
15
20
Time (s)
Time (s)
400
4
300
3
200
2
100
1
0
0
-100
-1
-200
-2
-300
-3
-400
-4
0
5
10
15
20
0
5
10
15
20
Time (s)
Time (s)
Figure 3.2 Response of a SDOF system with period of 0.5 s due to 1995 Kobe earthquake.
where a k is the ground acceleration record in the digitized form. Assume that the earthquake
ground acceleration a k is the 1995 Kobe earthquake record as shown in Figure 3.2, with the
initial displacement and velocity both set equal to zero (i.e. x 0 = x 0 = 0), it follows that the dis-
placement and velocity response histories can be evaluated using Eq. (3.31), and the results are
presented in Figure 3.2.
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