|
TIMING BELT CUMULATIVE FATIGUE PROBLEM
-
Description
-
Limit
State Function
-
Random
Variables
-
Analysis
-
Results
-
Reference
A timing belt is a synchronous drive component in which one
side of the belt is formed into teeth that mesh with cam and crank sprockets as
part of the cam drive system of an internal combustion engine (see Figure
1). The function of the timing belt is to provide stable engine
timing for efficient starting and operation by controlling the opening and
closing of the cylinder intake and exhaust valves. The durability and
reliability of the belt depends on its resistance to the primary failure mode of
vibratory tooth shear fatigue. The belt fatigue life, L,
may be calculated using the equation in the limit-state section.
Figure
1 — Timing Belt Illustration
where
L = Belt life
and ai , bi and ci = constants as defined here:
|
i
|
ai
|
bi
|
ci
|
di
|
|
1
|
0.420
|
31.4
|
0.0641
|
0.000199
|
|
2
|
0.178
|
71.3
|
0.0476
|
0.000201
|
|
|
|
|
|
|
|
4
|
0.009
|
16.9
|
0.0825
|
0.000201
|
|
5
|
0.012
|
23.2
|
0.0845
|
0.000201
|
|
6
|
0.209
|
182.3
|
0.0583
|
0.000195
|
|
7
|
0.032
|
38.3
|
0.0622
|
0.000195
|
|
8
|
0.018
|
24.6
|
0.0651
|
0.000205
|
|
9
|
0.017
|
27.4
|
0.0728
|
0.000205
|
|
10
|
0.018
|
39.2
|
0.0981
|
0.000203
|
|
11
|
0.004
|
9.6
|
0.1120
|
0.000203
|
F:
Miner’s Rule constant
A:
Arrhenius’ Law constant
a
= X3: Material slope
q:
Material intercept
W:
Rotative speed
Back to Top
Random
Variables:
X1
= F ~ Lognormal (m=1.0,
s=0.08)
X2
= A ~ Lognormal (m=5000, s=300)
X3
= a ~ Normal (m=2, s=0.2)
X4
= q ~ Normal (m=9, s=0.9)
X5
= W ~ Normal (m=600, s=33)
Anal1:
Inverse Probability Analysis to identify the level of
limit-state function defined in Eq. 1 for Pf
1 = 0.999999 by FORM/SORM.
Anal2:
Perform Probability Analysis with belt fatigue life L £
L(x*), where x*
is the MPP obtained from Anal1 to verify the result of Anal1 using FORM/SORM.
Anal3:
CDF Analysis of belt fatigue life from 000001 to 0.999999 by FORM/SORM
Case1:
Input the bound of CDF.
Case2:
Input individual probability ranged from 000001 to 0.999999.
Anal4:
CDF Analysis of belt fatigue life from b1
= -4 to 4 using FORM/SORM
Anal5:
CDF Analysis of belt fatigue life from g=1000 to g=7.85e+6
target first-order reliability index ....btt=-4.7534259E+00 >>>>>>>>> MPP Information <<<<<<<<<< g(x)-g_init=g_0 .........................g_0= 7.8502687E+06
|
variable
names
|
linearization-point
|
directional
cosine
in u-space
|
|
x-space
|
u-space
|
|
MinerC
|
2.28526E+00
|
1.52674E+00
|
-0.32119
|
|
ArrhenC
|
4.95251E+03
|
-1.29241E-01
|
0.02698
|
|
Mslope
|
1.98748E+00
|
-6.25834E-02
|
0.01317
|
|
Minter
|
1.30489E+01
|
4.49883E+00
|
-0.94644
|
|
speed
|
5.97897E+02
|
-6.37330E-02
|
0.01343
|
reliability
index ....................……...b = -4.7534259E+00 1st-order failure probability ....... pf1= 0.999999000008089 1st-order reliability .................1 - pf1= 9.9999191E-07 Second-Order Results generalized reliability index.....betag= -4.7540443E+00 second-order failure probability. pf2= 9.9999900E-01 second-order reliability .........1 - pf2= 9.969444945134853E-007
No. of g-functions called = 44 No. of derivatives of g called = 2
g(x)-g_init=g_0 ......................g_init= 7.8502687E+06 reliability
index ..................……... b = -4.753426
|
variable
names
|
linearization-point
|
directional
cosine
in u-space
|
|
x-space
|
u-space
|
|
MinerC
|
2.28410E+00
|
1.52602E+00
|
-0.32104
|
|
ArrhenC
|
4.95269E+03
|
-1.28604E-01
|
0.02705
|
|
Mslope
|
1.98748E+00
|
-6.25865E-02
|
0.01317
|
|
Minter
|
1.30492E+01
|
4.49909E+00
|
-0.94649
|
|
speed
|
5.97896E+02
|
-6.37685E-02
|
0.01342
|
reliability index ...................……….b = -4.7534259E+00 1st-order
failure probability ..…... pf1= 0.999999000007932 1st-order reliability ..................1 - pf1= 9.9999207E-07 Second-Order
Results: generalized reliability index .........betag= -4.7540443E+00 second-order failure probability ...... pf2= 9.9999900E-01 second-order
reliability …….......1 - pf2= 9.969446449487052E-007
No. of g-functions called = 77 No. of derivatives of g called = 4
Case 1:
lower bound of 1st-order failure probability = 1.0000000E-06 upper bound of 1st-order failure probability = 9.9999900E-01
|
***** SUMMARY OF CDF ANALYSIS *****
|
First/Second-Order CDF of Limit-State Function 27 Number of points in each CDF curve: 18
|
1st-order
b
|
1st-order
Pf
|
2nd-order
b
|
2nd-order
Pf
|
G-Value
|
|
4.7534259E+00
|
9.9999191E-07
|
4.7527904E+00
|
1.0031496E-06
|
7.1516402E-03
|
|
-2.7464786E+00
|
9.9698806E-01
|
-2.7546539E+00
|
9.9706228E-01
|
9.6916824E+04
|
|
-3.0630389E+00
|
9.9890449E-01
|
-3.0723698E+00
|
9.9893816E-01
|
1.9383362E+05
|
|
-3.2482162E+00
|
9.9941935E-01
|
-3.2300208E+00
|
9.9938109E-01
|
2.9075129E+05
|
|
-3.3829871E+00
|
9.9964149E-01
|
-3.3815337E+00
|
9.9963959E-01
|
3.8766759E+05
|
|
-3.4815093E+00
|
9.9975070E-01
|
-3.4854574E+00
|
9.9975435E-01
|
4.8458432E+05
|
|
-3.5647774E+00
|
9.9981792E-01
|
-3.5654476E+00
|
9.9981838E-01
|
5.8150139E+05
|
|
-3.6384943E+00
|
9.9986288E-01
|
-3.6466965E+00
|
9.9986718E-01
|
6.7841757E+05
|
|
-3.6961602E+00
|
9.9989056E-01
|
-3.6990916E+00
|
9.9989181E-01
|
7.7533499E+05
|
|
-3.7629522E+00
|
9.9991604E-01
|
-3.7564127E+00
|
9.9991382E-01
|
8.7225203E+05
|
|
-4.0665125E+00
|
9.9997614E-01
|
-4.0671319E+00
|
9.9997620E-01
|
1.7445042E+06
|
|
-4.2540089E+00
|
9.9998950E-01
|
-4.2534279E+00
|
9.9998947E-01
|
2.6167562E+06
|
|
-4.3830733E+00
|
9.9999415E-01
|
-4.3836926E+00
|
9.9999417E-01
|
3.4890083E+06
|
|
-4.4849969E+00
|
9.9999635E-01
|
-4.4856492E+00
|
9.9999637E-01
|
4.3612604E+06
|
|
-4.5682496E+00
|
9.9999754E-01
|
-4.5688694E+00
|
9.9999755E-01
|
5.2335125E+06
|
|
-4.6386510E+00
|
9.9999825E-01
|
-4.6393708E+00
|
9.9999825E-01
|
6.1057646E+06
|
|
-4.7003328E+00
|
9.9999870E-01
|
-4.7006290E+00
|
9.9999870E-01
|
6.9780166E+06
|
|
-4.7534259E+00
|
9.9999900E-01
|
-4.7540437E+00
|
9.9999900E-01
|
7.8502687E+06
|
***** SUMMARY OF PDF ANALYSIS ***** First/Second-Order PDF of Limit-State Function 27
|
1st-order
b
|
1st-order
Pf
|
2nd-order
b
|
2nd-order
Pf
|
G-Value
|
|
-6.3852997E+01
|
3.1596342E-04
|
-2.0727900E+00
|
1.0287805E-05
|
7.1516402E-03
|
|
-4.7118093E-06
|
4.3263800E-08
|
-5.7403445E-04
|
5.1535808E-06
|
9.6916824E+04
|
|
-2.3559240E-06
|
8.6248378E-09
|
-3.3626085E-06
|
1.1962846E-08
|
1.9383362E+05
|
|
-1.5706177E-06
|
3.2053825E-09
|
-1.6716449E-06
|
3.6186735E-09
|
2.9075129E+05
|
|
-1.1598660E-06
|
1.5140989E-09
|
-1.4679132E-06
|
1.9256691E-09
|
3.8766759E+05
|
|
-9.4237004E-07
|
8.7722301E-10
|
-1.0046387E-06
|
9.2241345E-10
|
4.8458432E+05
|
|
-8.5034768E-07
|
5.9030731E-10
|
-8.4054387E-07
|
5.8210892E-10
|
5.8150139E+05
|
|
-6.7188378E-07
|
3.5765962E-10
|
-7.3325608E-07
|
3.7883999E-10
|
6.7841757E+05
|
|
-5.8898141E-07
|
2.5376568E-10
|
-5.6447524E-07
|
2.4058510E-10
|
7.7533499E+05
|
|
-5.2353888E-07
|
1.7583103E-10
|
-2.5296588E-07
|
8.7073550E-11
|
8.7225203E+05
|
|
-2.6176931E-07
|
2.6789721E-11
|
-4.2483863E-07
|
4.3369016E-11
|
1.7445042E+06
|
|
-1.7451313E-07
|
8.1867821E-12
|
-2.1895831E-07
|
1.0297218E-11
|
2.6167562E+06
|
|
-1.3088584E-07
|
3.5165358E-12
|
-1.4743565E-07
|
3.9504444E-12
|
3.4890083E+06
|
|
-1.1127210E-07
|
1.9025532E-12
|
-1.1373051E-07
|
1.9389059E-12
|
4.3612604E+06
|
|
-8.7257411E-08
|
1.0234990E-12
|
-9.2492407E-08
|
1.0818357E-12
|
5.2335125E+06
|
|
-8.6549176E-08
|
7.3417198E-13
|
-7.8312245E-08
|
6.6208579E-13
|
6.1057646E+06
|
|
-6.5053282E-08
|
4.1373029E-13
|
-6.7731499E-08
|
4.3016421E-13
|
6.9780166E+06
|
| -5.8171076E-08 |
2.8784760E-13 |
-6.9680362E-0
|
3.4378783E-13 |
7.8502687E+06 |
No. of g-functions called = 978 No. of derivatives of g called = 32
Case 2: target first-order probability values:
1.000000000000000E-006 |
1.000000000000000E-0 |
1.000000000000000E-004 |
1.000000000000000E-003 |
1.000000000000000E-0 |
0.100000000000000 |
0.900000000000000 |
0.9900000000000 |
0.999000000000000 |
0.999900000000000 |
0.9999900000000 |
0.999999000000000 |
***** SUMMARY OF CDF ANALYSIS ***** First/Second-Order CDF of Limit-State Function 27 Number of points in each CDF curve: 12
|
1st-order
b
|
1st-order
Pf
|
2nd-order
b
|
2nd-order
Pf
|
G-Value
|
|
4.7534259E+00
|
9.9999191E-07
|
4.7527904E+00
|
1.0031496E-06
|
7.1516402E-03
|
|
4.2648922E+00
|
9.9999366E-06
|
4.2642577E+00
|
1.0028458E-05
|
2.0843757E-02
|
|
3.7190178E+00
|
9.9999482E-05
|
3.7183843E+00
|
1.0025105E-04
|
6.8876977E-02
|
|
3.0902332E+00
|
9.9999710E-04
|
3.0896006E+00
|
1.0021320E-03
|
2.7290722E-01
|
|
2.3263486E+00
|
9.9999815E-03
|
2.3257175E+00
|
1.0016832E-02
|
1.4535445E+00
|
|
1.2815519E+00
|
9.9999941E-02
|
1.2809228E+00
|
1.0011045E-01
|
1.4320987E+01
|
|
-1.2815519E+00
|
9.0000006E-01
|
-1.2821761E+00
|
9.0010949E-01
|
3.9204851E+03
|
|
-2.3263486E+00
|
9.9000002E-01
|
-2.3269708E+00
|
9.9001657E-01
|
3.8626055E+04
|
|
-3.0902332E+00
|
9.9900000E-01
|
-3.0908539E+00
|
9.9900209E-01
|
2.0572601E+05
|
|
-3.7190178E+00
|
9.9990000E-01
|
-3.7196375E+00
|
9.9990025E-01
|
8.1512750E+05
|
|
-4.2648922E+00
|
9.9999000E-01
|
-4.2655109E+00
|
9.9999003E-01
|
2.6935120E+06
|
|
-4.7534259E+00
|
9.9999900E-01
|
-4.7540437E+00
|
9.9999900E-01
|
7.8502687E+06
|
***** SUMMARY OF PDF ANALYSIS ***** First/Second-Order PDF of Limit-State Function 27
|
1st-order
b
|
1st-order
Pf
|
2nd-order
b
|
2nd-order
Pf
|
G-Value
|
|
-6.3852997E+01
|
3.1596342E-04
|
-1.3280794E+02
|
6.5916093E-04
|
7.1516402E-03
|
|
-2.1908426E+01
|
9.8121398E-04
|
-3.5803879E+01
|
1.6078957E-03
|
2.0843757E-02
|
|
-6.6299977E+00
|
2.6244583E-03
|
-9.9196811E+00
|
3.9359274E-03
|
6.8876977E-02
|
|
-1.6732959E+00
|
5.6341229E-03
|
-2.1228240E+00
|
7.1617049E-03
|
2.7290722E-01
|
|
-3.1416645E-01
|
8.3731953E-03
|
-2.6431647E-01
|
7.0549369E-03
|
1.4535445E+00
|
|
-3.1887150E-02
|
5.5961393E-03
|
-1.2931045E-03
|
2.2712057E-04
|
1.4320987E+01
|
|
-1.1647967E-04
|
2.0441979E-05
|
-1.3143153E-04
|
2.3047557E-05
|
3.9204851E+03
|
|
-1.1822521E-05
|
3.1509500E-07
|
-1.8413145E-05
|
4.9003907E-07
|
3.8626055E+04
|
|
-2.2197374E-06
|
7.4740360E-09
|
-3.7875268E-06
|
1.2728469E-08
|
2.0572601E+05
|
|
-5.6022898E-07
|
2.2176443E-10
|
-1.0055233E-06
|
3.9711602E-10
|
8.1512750E+05
|
|
-1.6954011E-07
|
7.5932030E-12
|
-3.1426291E-07
|
1.4037816E-11
|
2.6935120E+06
|
|
-5.8171076E-08
|
2.8784760E-13
|
-3.5277352E-07
|
1.7405082E-12
|
7.8502687E+06
|
No. of g-functions called = 462 No. of derivatives of g called = 13
Anal4: lower bound of 1st-order reliability index =-4.0000000E+00 upper bound of 1st-order reliability index = 4.0000000E+00 ***** SUMMARY OF CDF ANALYSIS ***** First/Second-Order CDF of Limit-State Function 27 Number of points in each CDF curve: 18
|
1st-order
b
|
1st-order
Pf
|
2nd-order
b
|
2nd-order
Pf
|
G-Value
|
|
4.0000000E+00
|
3.1671242E-05
|
3.9993660E+00
|
3.1756390E-05
|
3.7228428E-02
|
|
-1.9930557E+00
|
9.7687232E-01
|
-1.9932156E+00
|
9.7688104E-01
|
1.8618232E+04
|
|
-2.3096176E+00
|
9.8954533E-01
|
-2.2613085E+00
|
9.8812990E-01
|
3.7236618E+04
|
|
-2.4947909E+00
|
9.9369843E-01
|
-2.4954114E+00
|
9.9370943E-01
|
5.5854618E+04
|
|
-2.6261752E+00
|
9.9568248E-01
|
-2.6276279E+00
|
9.9570087E-01
|
7.4472804E+04
|
|
-2.7280848E+00
|
9.9681484E-01
|
-2.7289104E+00
|
9.9682279E-01
|
9.3091002E+04
|
|
-2.8113510E+00
|
9.9753330E-01
|
-2.8120179E+00
|
9.9753841E-01
|
1.1170920E+05
|
|
-2.8817516E+00
|
9.9802264E-01
|
-2.8823874E+00
|
9.9802662E-01
|
1.3032739E+05
|
|
-2.9427354E+00
|
9.9837337E-01
|
-2.9433576E+00
|
9.9837663E-01
|
1.4894559E+05
|
|
-2.9965269E+00
|
9.9863463E-01
|
-2.9971512E+00
|
9.9863742E-01
|
1.6756378E+05
|
|
-3.3130872E+00
|
9.9953864E-01
|
-3.3136940E+00
|
9.9953964E-01
|
3.3512752E+05
|
|
-3.4982632E+00
|
9.9976585E-01
|
-3.4988776E+00
|
9.9976639E-01
|
5.0269126E+05
|
|
-3.6296477E+00
|
9.9985810E-01
|
-3.6302668E+00
|
9.9985844E-01
|
6.7025500E+05
|
|
-3.7315575E+00
|
9.9990485E-01
|
-3.7321776E+00
|
9.9990508E-01
|
8.3781874E+05
|
|
-3.8148270E+00
|
9.9993186E-01
|
-3.8154650E+00
|
9.9993204E-01
|
1.0053825E+06
|
|
-3.8852245E+00
|
9.9994888E-01
|
-3.8858953E+00
|
9.9994902E-01
|
1.1729462E+06
|
|
-3.9462084E+00
|
9.9996030E-01
|
-3.9468353E+00
|
9.9996040E-01
|
1.3405100E+06
|
|
-4.0000000E+00
|
9.9996833E-01
|
-4.0006193E+00
|
9.9996841E-01
|
1.5080737E+06
|
|
*****
SUMMARY OF PDF ANALYSIS *****
|
First/Second-Order PDF of Limit-State Function 27
|
1st-order
b
|
1st-order
Pf
|
2nd-order
b
|
2nd-order
Pf
|
G-Value
|
|
-1.2266273E+01
|
1.6415980E-03
|
-3.9105193E-01
|
5.2467456E-05
|
3.7228428E-02
|
|
-2.4527419E-05
|
1.3427471E-06
|
-4.8487114E-04
|
2.6535684E-05
|
1.8618232E+04
|
|
-1.2263768E-05
|
3.3978027E-07
|
-1.4606657E-05
|
4.5193393E-07
|
3.7236618E+04
|
|
-8.1758248E-06
|
1.4518481E-07
|
-1.1467507E-05
|
2.0332286E-07
|
5.5854618E+04
|
|
-6.1318691E-06
|
7.7782647E-08
|
-6.6165227E-06
|
8.3610776E-08
|
7.4472804E+04
|
|
-4.8191533E-06
|
4.6534395E-08
|
-5.1220510E-06
|
4.9347923E-08
|
9.3091002E+04
|
|
-4.0401626E-06
|
3.0977293E-08
|
-4.2244196E-06
|
3.2329376E-08
|
1.1170920E+05
|
|
-3.4710691E-06
|
2.1780896E-08
|
-3.5939818E-06
|
2.2510881E-08
|
1.3032739E+05
|
|
-3.0465966E-06
|
1.6006519E-08
|
-3.1278132E-06
|
1.6403160E-08
|
1.4894559E+05
|
|
-2.7252748E-06
|
1.2204434E-08
|
-1.3974952E-06
|
6.2466212E-09
|
1.6756378E+05
|
|
-1.3626390E-06
|
2.2478326E-09
|
-2.0462682E-06
|
3.3687793E-09
|
3.3512752E+05
|
|
-9.0842706E-07
|
7.9760101E-10
|
-1.0857845E-06
|
9.5127428E-10
|
5.0269126E+05
|
|
-6.8131988E-07
|
3.7453202E-10
|
-7.5455273E-07
|
4.1385815E-10
|
6.7025500E+05
|
|
-5.4505614E-07
|
2.0591118E-10
|
-5.8269446E-07
|
2.1962137E-10
|
8.3781874E+05
|
|
-4.6907891E-07
|
1.2942934E-10
|
-4.7633582E-07
|
1.3111216E-10
|
1.0053825E+06
|
|
-3.8754427E-07
|
8.1545575E-11
|
-4.0334034E-07
|
8.4648405E-11
|
1.1729462E+06
|
|
-3.3859054E-07
|
5.6110787E-11
|
-3.4997267E-07
|
5.7853689E-11
|
1.3405100E+06
|
|
-3.0280893E-07
|
4.0524988E-11
|
-3.5794428E-07
|
4.7785230E-11
|
1.5080737E+06
|
No. of g-functions called = 870 No. of derivatives of g called = 29
Anal5: lower bound of g level = 1000 upper bound of g level = 7.85E+06
|
*****
SUMMARY OF CDF ANALYSIS *****
|
First/Second-Order CDF of Limit-State Function 27 Number of points in each CDF curve: 17
|
1st-order
b
|
1st-order
Pf
|
2nd-order
b
|
2nd-order
Pf
|
G-Value
|
|
-6.5760232E-01
|
7.4460315E-01
|
-6.6558175E-01
|
7.4716068E-01
|
9.9999919E+02
|
|
-2.8043670E+00
|
9.9747923E-01
|
-2.8049902E+00
|
9.9748409E-01
|
1.1001389E+05
|
|
-3.1188469E+00
|
9.9909220E-01
|
-3.1194584E+00
|
9.9909408E-01
|
2.1902778E+05
|
|
-3.3033281E+00
|
9.9952228E-01
|
-3.2882029E+00
|
9.9949585E-01
|
3.2804223E+05
|
|
-3.4343636E+00
|
9.9970303E-01
|
-3.4354435E+00
|
9.9970421E-01
|
4.3705553E+05
|
|
-3.5360656E+00
|
9.9979693E-01
|
-3.5367379E+00
|
9.9979745E-01
|
5.4606944E+05
|
|
-3.6191912E+00
|
9.9985224E-01
|
-3.6199365E+00
|
9.9985266E-01
|
6.5508332E+05
|
|
-3.6894923E+00
|
9.9988765E-01
|
-3.6901324E+00
|
9.9988793E-01
|
7.6409722E+05
|
|
-3.7504014E+00
|
9.9991172E-01
|
-3.7510213E+00
|
9.9991194E-01
|
8.7311111E+05
|
|
-4.0667005E+00
|
9.9997616E-01
|
-4.0672774E+00
|
9.9997622E-01
|
1.7452222E+06
|
|
-4.2517894E+00
|
9.9998940E-01
|
-4.2524076E+00
|
9.9998943E-01
|
2.6173333E+06
|
|
-4.3831304E+00
|
9.9999415E-01
|
-4.3837504E+00
|
9.9999417E-01
|
3.4894444E+06
|
|
-4.4850278E+00
|
9.9999635E-01
|
-4.4856823E+00
|
9.9999637E-01
|
4.3615556E+06
|
|
-4.5682630E+00
|
9.9999754E-01
|
-4.5688833E+00
|
9.9999755E-01
|
5.2336667E+06
|
|
-4.6386514E+00
|
9.9999825E-01
|
-4.6394231E+00
|
9.9999825E-01
|
6.1057778E+06
|
|
-4.6997153E+00
|
9.9999870E-01
|
-4.7002951E+00
|
9.9999870E-01
|
6.9778889E+06
|
|
-4.7534102E+00
|
9.9999900E-01
|
-4.7551491E+00
|
9.9999901E-01
|
7.8499991E+06
|
|
*****
SUMMARY OF PDF ANALYSIS *****
|
First/Second-Order PDF of Limit-State Function 27
|
1st-order
b
|
1st-order
Pf
|
2nd-order
b
|
2nd-order
Pf
|
G-Value
|
|
-4.5665685E-04
|
1.4675629E-04
|
-7.1829953E-06
|
2.2962524E-06
|
9.9999919E+02
|
|
-4.1509065E-06
|
3.2456686E-08
|
-1.4803753E-04
|
1.1555105E-06
|
1.1001389E+05
|
|
-2.0849307E-06
|
6.4234110E-09
|
-3.0006722E-06
|
9.2270802E-09
|
2.1902778E+05
|
|
-1.3920735E-06
|
2.3717375E-09
|
-1.5626278E-06
|
2.7983958E-09
|
3.2804223E+05
|
|
-1.0448509E-06
|
1.1448393E-09
|
-1.2671712E-06
|
1.3832942E-09
|
4.3705553E+05
|
|
-8.3991330E-07
|
6.4563567E-10
|
-8.8789906E-07
|
6.8090117E-10
|
5.4606944E+05
|
|
-6.9005813E-07
|
3.9398784E-10
|
-7.2883064E-07
|
4.1500391E-10
|
6.5508332E+05
|
|
-5.9300179E-07
|
2.6186719E-10
|
-6.1715905E-07
|
2.7189203E-10
|
7.6409722E+05
|
|
-5.2302270E-07
|
1.8413813E-10
|
-2.5618607E-07
|
8.9984780E-11
|
8.7311111E+05
|
|
-2.6166193E-07
|
2.6758271E-11
|
-4.3542367E-07
|
4.4423272E-11
|
1.7452222E+06
|
|
-1.7447465E-07
|
8.2626018E-12
|
-2.1788407E-07
|
1.0291255E-11
|
2.6173333E+06
|
|
-1.3086987E-07
|
3.5152268E-12
|
-1.4853805E-07
|
3.9789739E-12
|
3.4894444E+06
|
|
-1.1140839E-07
|
1.9046192E-12
|
-1.1371909E-07
|
1.9384240E-12
|
4.3615556E+06
|
|
-8.7255714E-08
|
1.0234162E-12
|
-9.2507257E-08
|
1.0819411E-12
|
5.2336667E+06
|
|
-8.8945491E-08
|
7.5449780E-13
|
-7.8189001E-08
|
6.6088358E-13
|
6.1057778E+06
|
|
-6.5134437E-08
|
4.1545056E-13
|
-6.8086708E-08
|
4.3309925E-13
|
6.9778889E+06
|
|
-5.8860962E-08
|
2.9128322E-13
|
-7.1825529E-08
|
3.5251405E-13
|
7.8499991E+06
|
No. of g-functions called = 1053 No. of derivatives of g called = 42
R.H. Salzman and R.A.
Fahlberg, “Timing Belt Key Life Test Procedures.” Ford Motor Company and
Gates Rubber Company internal report, July 11, 1996.
| 
