Pentru realizarea acestui proiect s-au ordonat crescator in functie de numarul de kilometri evenimentele care au avut loc. Acest lucru ajuta la determinarea marimii intervalului t asa cum este prezentat mai jos.

Nr crt.KmDefectiuneMasina

127000BateriaFord Fiesta

255000Cutia de vitezeOpel Insignia

395000AmbreiajulSkoda Superb

4100000Pompa combustibilOpel Astra Clasic

5110000TurbosuflantaVW Passat

6120000Caseta de directieHonda Civic

7160000Sistemul de franareRenault Clio

8180000AmbreiajulVW Touran

9190000Pompa de racireSkoda Octavia Tour

10220000InjectoareleFiat Sedici

Cu ajutorul relatiei de mai jos se determina intervalul t.==4457,74t min- timpul la care a fost observat primul eveniment (in km)

t max- parcursul cel mai mare (in km)

N= numar de interogari

Se adopta t=45000 [km]

Pentru determinarea intervalelor de timp si numarul de defectiuni se realizeaza urmatorul tabel:

Interval0-4500045000-9000090000-135000135000-180000180000-225000

ti22.50067.500112500157500202500

Ni12331

N136910

F(ti)0,10,30,60,91

F(ti)[%]10306090100

Se determina frecventa cumulata a defectarilor cu relatia:

=

unde: Ni- numarul de defecte pe fiecare interval

Se traseaza frecventa cumulata a defectarilor pe diagrama Weibull apoi se estimeaza cu

ajutorul diagramei, parametrii constanti ai legii Weibull astfel:

-se evidentiaza mijlocul fiecarui interval si frecventa cumulata a defectarilor

-daca punctele se afla pe o dreapta, cu aproximatie, atunci este zero;

-se intersecteaza dreapta formata de puncte cu dreapta randamentului

de pe abscisa corespunzatoare punctului de intersectie, afland astfel parametrul de scara,

-parametrul de forma se determina prin trasarea unei paralele prin punctul de

coordonate la dreapta valorilor experimentale.

Valorile obtinute:

108000Parametruvietii caracteristice

1,6parametru de forma

0parametru de pozitie

Pentru determinarea valorilor pentru fiabilitate, densitatea de probabilitate, intensitatea

de defectare si nefiabilitate se folosesec relatiile:

F(t)= 1-R(t)

Valorile obtinute se gasesc in tabelul urmator:

t(km)ExponentR(t)R(t)F(t)f(t)Z(t)

001000

3000-0,0036592660,9963474210,0036525791,94448E-061,95161E-06

6000-0,0110928210,9889684780,0110315222,92545E-062,95809E-06

9000-0,0212220830,9790015210,0209984793,69359E-063,77281E-06

12000-0,0336271450,9669319630,0330680374,33535E-064,48362E-06

15000-0,0480558220,9530805820,0469194184,88545E-065,12595E-06

18000-0,0643333270,937692390,062307615,36221E-065,71852E-06

21000-0,0823286270,9209692540,0790307465,77692E-066,27266E-06

24000-0,1019384410,9030851430,0969148576,13727E-066,7959E-06

27000-0,1230784510,8841942940,1158057066,4489E-067,29354E-06

30000-0,1456780120,8644359960,1355640046,71623E-067,76949E-06

33000-0,1696767370,8439375860,1560624146,94286E-068,22675E-06

36000-0,1950221780,822816410,177183597,13189E-068,66765E-06

39000-0,2216681880,8011811620,1988188387,28601E-069,09408E-06

42000-0,2495737270,7791328360,2208671647,40766E-069,50757E-06

45000-0,2787019590,7567654160,2432345847,49909E-069,9094E-06

48000-0,3090195670,7341664040,2658335967,56239E-061,03007E-05

51000-0,340496210,7114172230,2885827777,59953E-061,06822E-05

54000-0,3731040950,688593550,311406457,61236E-061,10549E-05

57000-0,4068176330,6657655930,3342344077,60267E-061,14194E-05

60000-0,4416131540,6429983290,3570016717,57217E-061,17764E-05

63000-0,4774686690,6203517210,3796482797,5225E-061,21262E-05

66000-0,5143636820,5978809160,4021190847,45523E-061,24694E-05

69000-0,552279020,5756364280,4243635727,37187E-061,28065E-05

72000-0,5911966910,5536643230,4463356777,27388E-061,31377E-05

75000-0,6310997690,5320063950,4679936057,16265E-061,34635E-05

78000-0,671972290,5107003350,4892996657,03952E-061,3784E-05

81000-0,7137991560,4897799080,5102200926,90577E-061,40997E-05

84000-0,7565660650,4692751240,5307248766,76262E-061,44108E-05

87000-0,8002594370,4492124070,5507875936,61125E-061,47174E-05

90000-0,8448663540,4296147710,5703852296,45275E-061,50198E-05

93000-0,8903745090,4105019870,5894980136,28818E-061,53183E-05

96000-0,9367721540,3918907590,6081092416,11854E-061,56129E-05

99000-0,9840480640,3737948860,6262051145,94476E-061,59038E-05

102000-1,0321914920,3562254390,6437745615,76773E-061,61912E-05

105000-1,0811921370,3391909230,6608090775,58828E-061,64753E-05

108000-1,1310401160,3226974390,6773025615,40717E-061,67561E-05

111000-1,1817259330,3067488540,6932511465,22513E-061,70339E-05

114000-1,2332404530,291346950,708653055,04282E-061,73086E-05

117000-1,2855748830,2764915880,7235084124,86086E-061,75805E-05

120000-1,3387207460,262180850,737819154,67983E-061,78496E-05

123000-1,3926698650,2484111940,7515888064,50022E-061,8116E-05

126000-1,4474143440,2351775910,7648224094,32253E-061,83799E-05

129000-1,5029465520,2224736630,7775263374,14718E-061,86412E-05

132000-1,5592591090,2102918170,7897081833,97454E-061,89001E-05

135000-1,6163448720,1986233680,8013766323,80496E-061,91567E-05

138000-1,6741969190,1874586640,8125413363,63876E-061,9411E-05

141000-1,7328085420,1767871980,8232128023,47618E-061,96631E-05

144000-1,7921732360,166597720,833402283,31747E-061,9913E-05

147000-1,8522846840,1568783390,8431216613,16281E-062,01609E-05

150000-1,9131367510,1476166230,8523833773,01238E-062,04068E-05

153000-1,9747234760,1387996880,8612003122,86631E-062,06507E-05

156000-2,0370390630,1304142880,8695857122,72471E-062,08927E-05

159000-2,1000778720,1224468930,8775531072,58765E-062,11329E-05

162000-2,1638344120,1148837640,8851162362,4552E-062,13712E-05

165000-2,2283033370,1077110240,8922889762,3274E-062,16078E-05

168000-2,2934794380,1009147240,8990852762,20425E-062,18427E-05

171000-2,3593576340,0944808950,9055191052,08575E-062,20759E-05

174000-2,4259329720,088395610,911604391,97188E-062,23074E-05

177000-2,493200620,0826450280,9173549721,8626E-062,25374E-05

180000-2,5611558590,0772154390,9227845611,75787E-062,27658E-05

183000-2,6297940810,0720933060,9279066941,65762E-062,29927E-05

186000-2,6991107860,0672652990,9327347011,56178E-062,32182E-05

189000-2,7691015750,0627183270,9372816731,47025E-062,34421E-05

192000-2,8397621470,0584395640,9415604361,38295E-062,36647E-05

195000-2,9110882960,0544164760,9455835241,29978E-062,38859E-05

198000-2,9830759060,050636840,949363161,22063E-062,41057E-05

201000-3,0557209510,047088760,952911241,14539E-062,43241E-05

204000-3,1290194870,0437606840,9562393161,07395E-062,45413E-05

207000-3,2029676530,0406414150,9593585851,00617E-062,47572E-05

210000-3,2775616660,0377201190,9622798819,41943E-072,49719E-05

213000-3,352797820,0349863320,9650136688,81143E-072,51853E-05

216000-3,4286724820,0324299640,9675700368,23642E-072,53976E-05

219000-3,5051820880,0300413030,9699586977,69317E-072,56086E-05

220000-3,5308257830,0292807260,9707192747,51892E-072,56787E-05

Diagrame:

Diagrama defectiunilor :

1