xxxxxxxxx Mil-HDBK-217F Notice 2 MTBF Prediction Report Issue 1.0 / July 2016 This report has been prepared for:
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1 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxx Issu.0 July 206 Pag of xxxxxxxxx Ml-HDBK-27F Notc 2 MTBF Prdcton Rport Issu.0 / July 206 Ths rport has bn prpard for: Your company Your addrss Your zp cod & country Prpard by: Statstcs, RAMS & QM Thomas Rtr (graduat Physcst) Rutlngn, Grmany Phon: ++49(0) Mobl: ++49(0)
2 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 2 of TOC. Lst of Changs 3 2. Introducton 4 3. Summary 5 3. Falur Rats [fpmh] for Ground Bngn, Controlld Envronmnt (GB) MTBF [h] for Ground Bngn, Controlld Envronmnt (GB) 6 4. Rlablty Assssmnt 7 4. Mathmatcal Modls Sral Rlablty Modl Data Sourcs and Assumptons 0 5. Rlablty Assssmnt Dtals 0 5. xxxxxxxx 5.. yyyyyyyyyyy LIST OF TABLES Tabl : Lst of Changs...3 Tabl 2: Falur rats for ground bngn, controlld (GB) nvronmnt...5 Tabl 3: MTBF for ground bngn, controlld (GB) nvronmnt...6 Tabl 4: Falur rats on componnt lvl for ground bngn, controlld (GB) nvronmnt... LIST OF FIGURES Fgur : Sral Rlablty Modl...7
3 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 3 of. Lst of Changs Issu Dat Edtor Chang dscrpton.0 July 26 th 206 Thomas Rtr Frst ssu Tabl : Lst of Changs
4 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 4 of 2. Introducton Ths documnt contans th falur rat and MTBF assssmnt for th followng unt Th assssmnt has bn prformd usng ncludng th rcommndatons gvn n xxxxxxxxxxxxxxxx Ml-HDBK-27F Notc 2 ANSI/VITA ANSI/VITA contans rcommndatons for qualty factor assssmnt for today s (2008 and latr) commrcal lctronc componnts. MTBF valus ar gvn n hours [h] and falur rat valus n falurs pr mllon hours [fpmh]. fpmh = falur pr hours. Convrson MTBF fpmh: <fpmh> = / MTBF [h] <MTBF> = / Falur Rat [fpmh]
5 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 5 of 3. Summary 3. Falur Rats [fpmh] for Ground Bngn, Controlld Envronmnt (GB) If your systm s complx (.g. hrarchcal or modular), rsults wll b dsplayd on all assmbly lvls accordngly. Mor nvronmnts, f ndd, wll b ncludd. Tmp [ C] xxxxxxxx yyyyyyyy zzzzzzzz -45 2,234 0,053 9, ,457,058 9, ,234 4,553 2, ,557 6,008 3, ,234 9,053 6, ,657 20,958 7, ,234 23,553 9, ,757 25,908 2, ,234 28,053 23, ,857 30,858 25, ,234 32,553 27, ,957 35,808 29, ,234 37,053 30, ,234 4,553 34, ,234 46,053 37,842 30,234 50,553 4, ,234 55,053 45, ,234 59,553 48, ,234 64,053 52, ,234 68,553 55, ,234 73,053 59, ,234 77,553 63, ,234 82,053 66, ,234 86,553 70, ,234 9,053 73, ,234 95,553 77, ,234 0,053 9,042 Tabl 2: Falur rats for ground bngn, controlld (GB) nvronmnt
6 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 6 of 3.2 MTBF [h] for Ground Bngn, Controlld Envronmnt (GB) Tmp [ C] xxxxxxxx yyyyyyyy zzzzzzzz Tabl 3: MTBF for ground bngn, controlld (GB) nvronmnt
7 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 7 of 4. Rlablty Assssmnt 4. Mathmatcal Modls Th analyzd board contans actv and passv lctronc componnts whch ar mountd on a prntd crcut board. Thr s no furthr systm brakdown du to th smpl functonal structur. Ths rlablty assssmnt assums that all componnts ar qually ncssary to prform th systm functon, whch mans that any componnt falur s assumd to rsult n functonal falur of th board. As ths s not th practcal cas and som falurs may only rsult n a mantnanc acton th calculatd MTBF s also calld Mantnanc rlatd MTBF". MTBF calculatons ar basd on mathmatcal modls for falur rats whch ar publshd n crtan ntrnatonal standards (Ml-HDBK-27, Tlcorda, Smns SN 29500, IEC-TR-62380, FIDES, 27Plus). 4.. Sral Rlablty Modl Fgur shows a smpl sral modl. Fgur : SERIAL RELIABILITY MODEL If an lmnt falur rat s constant ovr tm, th rlablty for a sngl srs lmnt can b xprssd as th followng xponntal dstrbuton. R( t) = t whr: R t) ( = th probablty of survval for a sngl srs lmnt for a gvn opratng tm t = th bas of th natural logarthm = a constant rprsntng th th lmnt falur rat t = th lmnt opratng tm If ach xponntally dstrbutd srs lmnt s ndpndnt, th srs systm rlablty functon can b xprssd as th followng product. R( t) srs = n = t whr: R ( t) = th probablty of survval for a srs systm for a gvn opratng tm t. srs
8 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 8 of = th bas of th natural logarthm = a constant rprsntng th th lmnt falur rat t = th lmnt opratng tm If ach lmnt s ndpndnt, t can b shown that th falur rat for an xponntal dstrbuton srs systm s th sum of th falur rats of th ndvdual lmnts. srs = n = whr: = a constant rprsntng a srs systm falur rat srs = a constant rprsntng th th lmnt falur rat = a constant rprsntng th last lmnt falur rat n and R( t) srs = srs t whr: R ( t) srs= th probablty of survval for a srs systm for a gvn opratng tm t = th bas of th natural logarthm srs = a constant rprsntng th srs systm falur rat t = th srs systm opratng tm Th man tm btwn falurs (MTBF) for an xponntally dstrbutd sngl lmnt or srs systm can b dtrmnd from th rlablty functon or, as shown blow, drctly from th falur rat. MTBF = 0 R( t) dt MTBF = 0 t dt = MTBF = 0 srssystm t dt = srssystm whr: MTBF srssystm = th man tm btwn falur of th srs systm = th constant falur rat of th th lmnt = th constant falur rat of a srs systm srssystm = th bas of th natural logarthm
9 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 9 of t = th srs systm opratng tm For a srs systm wth xponntally dstrbutd lmnts th, shown blow. MTBF srs can b xprssd as MTBF srs = n whr: MTBF srs= th man tm btwn falurs for a srs systm n = a constant rprsntng th n th srs lmnt falur rat
10 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxxx Issu.0 July 206 Pag 0 of 4..2 Data Sourcs and Assumptons In ordr to prform a falur rat assssmnt, svral assumptons hav to b mad to mnmz th complxty of th analyss.. Ml-HDBK-27F Notc 2 has bn usd for all componnts xcpt thos mntond blow n topc 6, spcal componnts. 2. Falur rat of mchancal componnts (scrws, chasss, tc.) s nglgbl. 3. Qualty factors: Th rcommndatons of ANSI/VITA hav bn usd. Th qualty factors of thos componnt typs not covrd by ANSI/VITA hav bn assssd on lvl abov th Ml-HDBK-27 qualty lvl commrcal. Connctors, for whch ANSI/VITA rcommnds qualty lvl commrcal, hav bn assssd on lvl abov commrcal, too, bcaus th Ml-HDBK-27 modl for connctors addrsss opratng condtons whch ar substantally wors compard to cvl applcatons. 4. Envronmntal factor GB (ground bngn, controlld), has bn usd for calculaton. 5. Strss lvls: 50% powr rato, currnt rato and strss rato has bn usd for all applcabl componnts. 6. Spcal componnts: Non; all componnts hav bn assssd wth Ml-HDBK-27F Notc Rlablty Assssmnt Dtals Dtald falur rat valus on componnt lvl ar provdd for +20 C, GB nvronmnt. All falur rats ar gvn n falurs pr mllon hours (fpmh) Convrson MTBF fpmh: <fpmh> = / MTBF [h] <MTBF> = / Falur Rat [fpmh]
11 Ml-HDBK-27F N2 MTBF Prdcton Rport xxxxxxxxx Issu.0 July 206 Pag of Nam PN PN2 Rfrnc Dsgnator Dscrpton Ml-27 Catgory Ml-27 Subcatgory FR/Unt [fpmh] Qty FR [fpmh] 5. xxxxxxxx 2,5623 2, yyyyyyyyyyy 0,4454 0,445 qwrty qwrty C All componnts wll b dsplayd hr SMD 000pF 50V; n0/50v; 0603_C; GRM885CH02JA0D Capactor Gnral Cramc (CK. CKR) 0, ,00025 Tabl 4: Falur rats on componnt lvl for ground bngn, controlld (GB) nvronmnt
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