Reliability KIGIT

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Uploaded: 03.12.2016
Content: Задачи Надежность.docx (172,11 kB)

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TASK 1. From the test put N0 = 1000 products. During 8000chas denied t = n (t) = 290 items, the time interval Δt = 1000 h denied n (Δt) = 50 pieces (Fig. 1).
Calculate the probability of failure-free operation for the time t and t + Δt, failure rate and failure rate in the interval .DELTA.t.
OBJECTIVE 2. At the test 100 of similar products supplied. Over 4000 hours. denied 50 products. During the interval 4000-4100 h. refused another 20 products. Determine the probability of failure-free operation, and the probability of failure of products during the first 4000 hours. Calculate the probability of failure-free operation, and the probability of failure of products during 4100 hours.
GOAL 3. The system consists of two devices. Probability of failure of each of them for a time t = 100 h are: P1 (100) = 0.95. p2 (100) = 0.97. Fair distribution of the exponential law of reliability. It is necessary to find the mean time to the first system failure.
OBJECTIVE 4. Only elements whose failure rate is 1 / h may be used in the system. The system has a number of elements N = 500. Required to determine the mean time to first failure and the probability of failure-free operation at the end of the first hour of Pc (t).
OBJECTIVE 5. The scheme of calculating the reliability of redundant devices for a variety of options is shown in Fig. 2. The failure rate components have the following meanings: λ1 = 2 ∙ 10-4 1 / h; λ2 = 7 ∙ 10-4 1 / h; 1 hour. It is assumed that no failure-effect elements. It is necessary to find the mean time to the first device failure and the probability of failure-free operation for 100 hours.
OBJECTIVE 6. The scheme of calculating the reliability of non-renewable redundant devices for a variety of options is shown in Fig. 3.1.
OBJECTIVE 7. The system has a multiplicity of total redundancy m = 5. The main non-redundant system contains four ravnonadezhnyh elem

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