4.6 A system has two failure modes. One failure mode, due to external conditions, has a constant failure rate of 0.07 failures per year. The second, attributed to wear out, has a Weibull distribution with a characteristic life of 10 yr and a shape parameter of 1.8. Determine the system reliability for a design life of 1 yr. Find by trial and error the median time to failure.
4.6 A system has two failure modes. One failure mode, due to external conditions, has a constant failure rate of 0.07 failures per year. The second, attributed to wear out, has a Weibull distribution with a characteristic life of 10 yr and a shape parameter of 1.8. Determine the system reliability for a design life of 1 yr. Find by trial and error the median time to failure.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Answer to Question 4.6
Transcribed Image Text:sign life of the PUWCI Jupp)
4.4
hr, find the following:
(a) R(150 hr)
(b) МТТF
(c) tmed
(d) The standard deviation
(e) The design life for a reliability of 0.98
For the component defined in Exercise 4.1, determine the reliability for 100 br:s
there are two redundant components.
4.5
4.6 A system has two failure modes. One failure mode, due to external conditions, has a
constant failure rate of 0.07 failures per year. The second, attributed to wear out, has
a Weibull distribution with a characteristic life of 10 yr and a shape parameter of 1.8.
Determine the system reliability for a design life of 1 yr. Find by trial and error the
median time to failure.
What is the maximum number of identical and independent Weibull components
having a scale parameter of 10,000 operating hours and a shape parameter of 1.3 that
can be put in series if a reliability of 0.95 at 100 operating hours is desired? What is
the resulting system MTTF?
4.7
1.8 The time to failure in operating hours of a critical solid-state power unit has the foi-
lowing hazard rate function: (t) = 0.003(T/500)0.5 for t2 0.
(a) What is the reliability if the power unit must operate continuously for 50 hi:
For a with B= hr, U= 8500, and to = 50
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