Modelos de degradação 3
of 8
-
Upload
ambrosio85 -
Category
Documents
-
view
216 -
download
0
Transcript of Modelos de degradação 3
-
8/13/2019 Modelos de degradao 3
1/8
1
1
1
-
8/13/2019 Modelos de degradao 3
2/8
-
8/13/2019 Modelos de degradao 3
3/8
Y =AX+ B
1
1 F(t)
=
(t) ()
= A
=
(B )
L(p) =n
i=1
f(ti|p)
L(p1,...,pk)
pi= 0 ; i= 1,...,k
t
t
(t) =t
R(t)dt
R(t)
(0) =
0 R(t)dt
R(0) =
0 R(t)dt
1 =
Z(t)
zc
Tc
Tc= {t|Z(t) zc}
-
8/13/2019 Modelos de degradao 3
4/8
[0, Tci] Tci
i
Z(Tci) = zci)
R(t) =P(Tc> t)
Z(Tc) =zc
Tc= Z
1(zc)
R(t) =P(Z1(zc)> t)
0 200 400 600 800 1000 1200400
600
800
1000
1200
1400
1600
1800
2000
2200
Degradation law and extrapolated failure time
Units of time
Degradationvalue
Z(t) =a + b t
0 100 200 300 400 500 600400
600
800
1000
1200
1400
1600
1800
2000
2200
Degradation law and extrapolated failure time
Units of time
D
egradationvalue
Z(t) =a
(bt)
0 500 1000 1500 2000 2500 3000 3500 4000200
400
600
800
1000
1200
1400
1600
1800
2000
2200Degradation law and extrapolated failure time
Units of time
Degradationvalue
Z(t) =a tb
-
8/13/2019 Modelos de degradao 3
5/8
0 100 200 300 400 500 600 700 800 900 10000
200
400
600
800
1000
1200
1400
1600
1800
2000
Wiener degradation and extrapolated failure times
Units of time
Degradationvalue
Z(t) =Z(0) + N(mt,t)
2 87, 5% 87, 5%
12Tfailure 1019 472, 1 1009
2 92, 6% 88, 8% 88, 3% 58, 8
Tfailure
572, 8 358, 4 3196, 2 175
2 97, 3% 92, 3% 89, 8% 75
Tfailure 573, 4 424 1663, 9 565
-
8/13/2019 Modelos de degradao 3
6/8
64
0 50 100 150 200 250 300 350 400 4500
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
Degradation law and extrapolated failure time
Units of time
Degradationvalue
0 50 100 150 200 250 300 350 400
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
t
R(t)
0 20 40 60 80 100 120 140 1600
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
Degradation law and extrapolated failure time
Units of time
Degr
adationvalue
0 50 100 150
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
t
R(t)
0 100 200 300 400 500 600 700 800 9000
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
Degradation law and extrapolated failure time
Units of time
Degradationvalue
0 100 200 300 400 500 600 700 800
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
t
R(t)
5, 294 4, 718 5, 820
0, 373 0, 148 0, 4712 99, 3% 97, 5% 99, 5%
64
149
49
311
da
dN =C Km
K
KmaxKmin K
K= (max min)a
mean =0
min
0
da
dN =C m(a)m/2
m
C
Y = X+
da
dN =
C+ m
+
m
2 a +
m
2
m= 2
C=
(
m
m2 )
-
8/13/2019 Modelos de degradao 3
7/8
68, 91
0, 005
0, 0455
m
3, 25
C
9, 1 108
1/2
m
m
3, 297
C
7, 772 108
1/2
m
2
99, 9%
0 10 20 30 40 50 60 70 80 90 1000.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
Paris law
Number of cycles N [kcycles]
Cracklenghta[m]
5%
m
500
100
0 50 100 150 200 250 300 3500.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
Paris crack growth law
Number of cycles N[kilocycles]
Cracklengtha[m]
100
5%
m
500
4, 11
0, 39
99, 17%
100
0 50 100 150 200 250 300
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
t
R(t)
-
8/13/2019 Modelos de degradao 3
8/8
60
24, 97
C
Nc= a
(m/2)+1c a(m/2)+10
((m/2) + 1) (C m m/2)
1
a
(m/2)+1c a(m/2)+10
((m/2) + 1) (m m/2) N
