Relibilty Engineering Problem — Duane Parameters Essay Example

RELIABILITY ENGINEERING PROBLEM- DUANE PARAMETERS

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Data with 12 failures

  1. Reliability growth

Given that Relibilty Engineering Problem - Duane Parameters is time for failures and Relibilty Engineering Problem - Duane Parameters 1 the number of failures, then

Mean time between failures (Relibilty Engineering Problem - Duane Parameters 2) is given as

Relibilty Engineering Problem - Duane Parameters 3

Relibilty Engineering Problem - Duane Parameters 4

Therefore making the equation algebraic:

Relibilty Engineering Problem - Duane Parameters 5

Setting Relibilty Engineering Problem - Duane Parameters 6

Relibilty Engineering Problem - Duane Parameters 7

Relibilty Engineering Problem - Duane Parameters 8

Relibilty Engineering Problem - Duane Parameters 9

Then, Relibilty Engineering Problem - Duane Parameters 10

Equating Relibilty Engineering Problem - Duane Parameters 11 to the expected value,

Relibilty Engineering Problem - Duane Parameters 12

Assuming a constant failure intensity, the cumulative intensity Relibilty Engineering Problem - Duane Parameters 13

Then, Relibilty Engineering Problem - Duane Parameters 14

Therefore, the total expected failures at Relibilty Engineering Problem - Duane Parameters 15

Relibilty Engineering Problem - Duane Parameters 16

Relibilty Engineering Problem - Duane Parameters 17

Duane reliability, Relibilty Engineering Problem - Duane Parameters 18

Relibilty Engineering Problem - Duane Parameters 19

Where T = test time

Relibilty Engineering Problem - Duane Parameters 20 Time at beginning of monitoring period

Relibilty Engineering Problem - Duane Parameters 21 Cumulative MTBF at start of monitoring period Relibilty Engineering Problem - Duane Parameters 22

Relibilty Engineering Problem - Duane Parameters 23

Relibilty Engineering Problem - Duane Parameters 24= growth rate

Relibilty Engineering Problem - Duane Parameters 25= instantaneous MTBF

Cumulative failure rate is expressed as Relibilty Engineering Problem - Duane Parameters 26

Relibilty Engineering Problem - Duane Parameters 27 = initial failure rateRelibilty Engineering Problem - Duane Parameters 28)

Relibilty Engineering Problem - Duane Parameters 29, the test time

Relibilty Engineering Problem - Duane Parameters 30= growth rate = 0.4701

Relibilty Engineering Problem - Duane Parameters 31

Relibilty Engineering Problem - Duane Parameters 32

Relibilty Engineering Problem - Duane Parameters 33

Relibilty Engineering Problem - Duane Parameters 34

Figure 1: Estimated Duane parameters

  1. Cumulative and instantaneous MTBF curves

Relibilty Engineering Problem - Duane Parameters 35

Figure 2: Cumulative MTBF vs Time

Relibilty Engineering Problem - Duane Parameters 36

Figure 3: instantaneous MTBF vs Time

Relibilty Engineering Problem - Duane Parameters 37

Figure 4: Cumulative and instantaneous MTBF curves

  1. Required time for instantaneous MTBF of 500hours MTBF

Relibilty Engineering Problem - Duane Parameters 38

Relibilty Engineering Problem - Duane Parameters 39

  1. Required time for cumulative MTBF of 500hours

Relibilty Engineering Problem - Duane Parameters 40

References