proiect fst

1 Culegerea si prelucrarea datelor dupa primul defect aparut la autoturismul Vol

Nr. Crt. Identificator Timp 1 dacia logan 83000

2 dacia logan 109000

3 dacia logan 128000

4 dacia logan 148000

5 dacia logan 159000

6 dacia logan 178000

7 dacia logan 190000

8 dacia logan 198000

9 dacia logan 215000

10 dacia logan 250000

2Determinarea marimii intervalului de esalonare notat cu Δt

38568.12933

283000

83000

N- numarul de unitati studiate 10

3 Determinarea numarului de defectiuni pe fiecare interval de timp sau interval de esalonare

se adopta Δt=38000

tmax-timpul cel mai mare de defectare

tmin- timpul cel mai mic de defectare

Δ= 38000 [km]

2Δ= 76000 [km]

3Δ= 114000 [km]

4Δ= 152000 [km]

5Δ= 190000 [km]

6Δ= 228000 [km]

7Δ= 266000 [km]

4 Calcularea frecventei cumulate a defectiunilor

%0 0

0 0

0.2 20

0.4 40

0.6 60

0.9 90

1 100

5 Determinarea parametrilor din diagrama Weibull:

parametrul de forma

γ=0 parametrul de pozitie sau initializare

η =150000 parametrul vietii caracteristice

γ = 0

η = 150000

3

e = 2.718

km R(t) F(t) f(t)0 1 0 0

4000 0.999981037216833 1.8962783E-05 1.312887E-088000 0.999848307802721 0.0001516922 4.847832E-08

12000 0.999488131049633 0.00051186895 1.006909E-0716000 0.998787106520975 0.00121289348 1.652447E-0720000 0.997632436739075 0.00236756326 2.383459E-0724000 0.995912377166472 0.00408762283 3.168329E-0728000 0.993516810851684 0.00648318915 3.980924E-0732000 0.990337943494877 0.00966205651 4.799851E-0736000 0.986271112704227 0.0137288873 5.607805E-0740000 0.981215702892156 0.01878429711 6.390986E-0744000 0.975076154647535 0.02492384535 7.138604E-0748000 0.967763054575268 0.03223694542 7.842427E-0752000 0.959194288594127 0.04080571141 8.496396E-0756000 0.949296238618858 0.05070376138 9.096287E-0760000 0.93800499953073 0.06199500047 9.639414E-0764000 0.925267590483172 0.07473240952 1.012437E-0668000 0.911043132029192 0.08895686797 1.055082E-0672000 0.895303958436267 0.10469604156 1.091926E-0676000 0.878036633017406 0.12196336698 1.123092E-06

β=3

6 Se calculeaza toti indicatorii legii de distributie Weibull: R(t), F(t), f(t), Z(t),

β =

80000 0.859242833496926 0.1407571665 1.148757E-0684000 0.838940074480217 0.16105992552 1.169141E-0688000 0.8171622351261 0.18283776487 1.184497E-0692000 0.793959862222061 0.20604013778 1.1951E-0696000 0.769400222098069 0.2305997779 1.201243E-06

100000 0.743567079205906 0.25643292079 1.20323E-06104000 0.716560184713542 0.28343981529 1.201366E-06108000 0.688494465042293 0.31150553496 1.195959E-06112000 0.659498907777765 0.34050109222 1.187312E-06116000 0.629715150628079 0.37028484937 1.175722E-06120000 0.599295787845538 0.40070421215 1.161479E-06124000 0.568402417483984 0.43159758252 1.14486E-06128000 0.537203461707907 0.46279653829 1.126131E-06132000 0.505871800748414 0.49412819925 1.105546E-06136000 0.474582268650746 0.52541773135 1.083345E-06140000 0.443509065319337 0.55649093468 1.059754E-06144000 0.412823144204325 0.5871768558 1.034985E-06148000 0.382689637997227 0.617310362 1.009236E-06152000 0.353265385684448 0.64673461432 9.826895E-07156000 0.324696623096433 0.6753033769 9.555169E-07160000 0.297116895631617 0.70288310437 9.278744E-07164000 0.27064524617431 0.72935475383 8.999056E-07168000 0.245384723516998 0.75461527648 8.717418E-07172000 0.221421247097308 0.7785787529 8.435023E-07176000 0.198822852920679 0.80117714708 8.152949E-07180000 0.177639333595135 0.8223606664 7.87217E-07184000 0.157902272948581 0.84209772705 7.593555E-07188000 0.13962546326103 0.86037453674 7.317879E-07192000 0.122805681260861 0.87719431874 7.045828E-07196000 0.107423788219689 0.89257621178 6.778003E-07200000 0.0934461101976254 0.9065538898 6.514929E-07204000 0.0808260471246149 0.91917395288 6.257056E-07208000 0.0695058542395472 0.93049414576 6.004771E-07212000 0.0594185366169504 0.94058146338 5.758396E-07216000 0.0504897971372077 0.94951020286 5.518199E-07220000 0.0426399802219346 0.95736001978 5.284395E-07224000 0.0357859577657013 0.96421404223 5.057152E-07228000 0.0298429096506623 0.97015709035 4.836594E-07232000 0.0247259586524205 0.97527404135 4.622809E-07236000 0.0203516279984328 0.979648372 4.415848E-07240000 0.0166390988617236 0.98336090114 4.215728E-07244000 0.0135112542011558 0.9864887458 4.022442E-07248000 0.0108955041619757 0.98910449584 3.835955E-07252000 0.00872439634593045 0.99127560365 3.656212E-07

0 50000 100000 150000 200000 250000 3000000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

R(t)F(t)

Weibull cu 2 parametrii

0 50000 100000 150000 200000 250000 3000000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

R(t)F(t)

Weibull cu 3 parametrii

Culegerea si prelucrarea datelor dupa primul defect aparut la autoturismul Vol DACIA LOGAN

Defect Bietleta stabilizatoare

Flansa amortizoare

Bucsi de bascula

Volanta

Disc de ambreiaj

Amortizoare fata

Amortizoare spate

Injector

Bieleta stabilizatoare

Rulmenti

2Determinarea marimii intervalului de esalonare notat cu Δt

3 Determinarea numarului de defectiuni pe fiecare interval de timp sau interval de esalonare

19000 [km] n1=0 57000 [km] n2=0 95000 [km] n3=3

133000 [km] n4=2

171000 [km] n5=3

209000 [km] n6=3

247000 [km] n7=2

parametrul de forma

parametrul de pozitie sau initializare

parametrul vietii caracteristice

z(t)0

1.42222222222222E-085.68888888888889E-08

0.0000001282.27555555555556E-073.55555555555556E-07

0.0000005126.96888888888889E-079.10222222222223E-07

0.0000011521.42222222222222E-061.72088888888889E-06

0.0000020482.40355555555556E-062.78755555555556E-06

0.00000323.64088888888889E-064.11022222222222E-06

0.0000046085.13422222222222E-06

6 Se calculeaza toti indicatorii legii de distributie Weibull: R(t), F(t), f(t), Z(t),

5.68888888888889E-060.000006272

6.88355555555556E-067.52355555555556E-06

0.0000081928.88888888888889E-069.61422222222222E-06

0.0000103681.11502222222222E-051.19608888888889E-05

0.00001281.36675555555556E-051.45635555555556E-05

0.0000154881.64408888888889E-051.74222222222222E-05

0.0000184321.94702222222222E-052.05368888888889E-05

0.0000216322.27555555555556E-052.39075555555556E-05

0.0000250882.62968888888889E-052.75342222222222E-05

0.00002883.00942222222222E-053.14168888888889E-05

0.0000327683.41475555555556E-053.55555555555556E-05

0.0000369923.84568888888889E-053.99502222222222E-05

0.0000414724.30222222222222E-054.46008888888889E-05

0.0000462084.78435555555556E-054.95075555555556E-05

0.00005125.29208888888889E-055.46702222222222E-05

0.000056448

0 50000 100000 150000 200000 250000 3000000

0.00001

0.00002

0.00003

0.00004

0.00005

0.00006

z(t)

z(t)

0 50000 100000 150000 200000 250000 3000000

0.0000002

0.0000004

0.0000006

0.0000008

0.000001

0.0000012

0.0000014

f(t)

f(t)

0 50000 100000 150000 200000 250000 3000000

0.0000002

0.0000004

0.0000006

0.0000008

0.000001

0.0000012

0.0000014

f(t)

f(t)

0

0

2

2

2

3

1

0 50000 100000 150000 200000 250000 3000000

0.00001

0.00002

0.00003

0.00004

0.00005

0.00006

z(t)

z(t)

0 50000 100000 150000 200000 250000 3000000

0.0000002

0.0000004

0.0000006

0.0000008

0.000001

0.0000012

0.0000014

f(t)

f(t)

0 50000 100000 150000 200000 250000 3000000

0.0000002

0.0000004

0.0000006

0.0000008

0.000001

0.0000012

0.0000014

f(t)

f(t)