Civil Engineering Reference
In-Depth Information
30
200
150
20
100
10
50
0
0
-50
-10
-100
Linear
Nonlinear
-20
Linear
Nonlinear
-150
-200
-30
0
5
10
15
20
0
5
10
15
20
Time (s)
Time (s)
1
1
0.8
0.8
Linear
Nonlinear
0.6
0.6
0.4
0.4
0.2
0.2
0
0
-0.2
-0.2
-0.4
-0.4
-0.6
Linear
Nonlinear
-0.6
-0.8
-1
-0.8
0
5
10
15
20
0
5
10
15
20
Time (s)
Time (s)
100
60
Backbone curve
80
40
60
Initial yielding
40
20
20
0
0
-20
-20
-40
-60
Linear
Nonlinear
-40
-80
-100
-60
0
5
10
15
20
-1
-0.5
0
0.5
1
Time (s)
Plastic rotation (rad)
Figure 3.7
Comparison of 2% damped SDOF responses due to 1994 Northridge earthquake.
Δθ
00
=0
m
k
+1
=
m
k
−0
:
04
K
00
Δθ
00
m
k
+1
≤ 39
:
48
if
m
k
+1
>39
:
48
,
then
ð3
:
108gÞ
The recursive equation as given in Eq. (3.57) becomes
=
x
k
x
k
+
a
k
+
x
0
k
x
k
+1
x
k
+1
0
:
999124 0
:
009976
−0
:
17504 0
:
994945
−0
:
000100
−0
:
009949
0
:
001751
0
:
17461
ð3
:
109Þ
