pp 5 verovatn
DESCRIPTION
Pouzdanost prenosnika prof Miroslav Ognjanovic predavanjaTRANSCRIPT
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Verovatnoća razaranja za vremensku, trajnu i
radnu izdržljivost
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VELEROVA KRIVA – kako je dobiti
CNm
N =σ CNm N logloglog =+σ
Ny σlog= Nx log=
1Cxmy =+
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0 j–1 j j+1 m
N=N’+N”
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l
σ
t
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PR
0
1
0
1
NDV
σσσσTM
σσσσN1
σσσσN2
σσσσN3
σσσσN9
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Oblast vremenske izdržljivosti
( )
Σ
=z
NzP i
R1+
=Σz
zP i
R
Σ
−=
z
zP i
R
5,0
33,0
33,0
−
−=
Σz
zP i
R
0,909138300017520010
0,8181213501310509
0,7271134601233008
0,6361028651024157
0,545905320899306
0,455768000878205
0,364650030825304
0,273512320823153
0,182419800768002
0,091331500523801
σN1=810σN1=973zi
N za σN u N/mm2
1+=
Σz
zP i
R
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0,2
4 6 8 105 2 3 4 6 8 106
-2
-1
0
1
PR
x=lnN
Y
0,9
0,8
0,7
0,6
0,5
0,4
0,3
0,1
11 12 13 14 15
σN
N
mm 2973=
2
σN
N
mm 2810=
N
( )8,3
1050001
−
−=
N
R eNP ( )6,2
9500001
−
−=
N
R eNP
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Oblast trajne izdržljivosti
σN
σN3
σN4
σN5
σN6
σN7
σN8
zi→0
zi→zΣ
NNDV
PR(σ)(σ)(σ)(σ)
1+=
Σz
zP i
R
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σN
zΣ zi
NNDV
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-2
-1
1
2
-3
0
6 6,5
400 500 600 700 800 900 1000
0,999
0,990
0,9000,800
0,600
0,400
0,200
0,100
PR
x=lnN
σN N/mm2
Pz
zRi=+
Σ 1
0,09016801050
0,36347131100
0,45457461150
0,81897771200
ziσN
N/mm-2
F
N
NDV=5⋅106
( )23
7601
−
−=N
N eP
σ
σ
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( )5,011NNm
ND
m
D σσ =( )5,011 loglogloglog NmNm NDD +=+ σσ
( )( )( )
( )( )
43,12973748log
105,210095,0log
log
log 66
1
5,01=
⋅⋅==
ND
DNNm
σσ
1100
1050
1000
950
900
850
800
750
700
104 105 106 107ND
N
σDN
mm 2748=
ND=2,5⋅106
m=12
σN
N/mm2
σN1
σN2
PR
PR=0,1
PR
PR
0
1
0
1
1
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Verovatnoća razaranja za radnu izdržljivost
PR
PR
PR
PR=0,9
PR=0,1
logσR
′σR
′′σR
′′′σR
logNR
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σ
14 3 2 2 3 4 5 6 7 8 8 7 6 5
n
∆NB5
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0,909NRmaxNRmaxNRmaxzΣ
––––⋅
––––⋅
––––⋅
––––⋅
––––⋅
––––3
––––2
0,09NRminNRminNRmin1
zi
NR
1+=
Σz
zP
iR
Rσ ′Rσ ′′
Rσ ′′′
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107106
-2
-1
1
PR
x=lnN
Y
0,99
12
105 108 109
2
-3
0,950,900,80
0,60
0,40
0,20
0,10
0,05
N
0
13 14 15 16 17 18 19 20
′σR
′′σR ′′′σ
R
( )
1,3
6102,11
⋅−
−=
RN
RR eNP
( )
95,1
7103,11
⋅−
−=
RN
RR eNP
( )
4,1
8105,21
⋅−
−=
RN
RR eNP
( )βη RR PN −−= 1ln