concepts of reliability
TRANSCRIPT
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1 Alan Pendry
Concepts
of
Reliability
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Aims of this session
To examine the basic concepts of Reliability Engineering
To investigate Hazard Rates
To discuss the main characteristics of the Bathtub Curve
To discuss the Management of Reliability
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What is Reliability?
Concerned with Failures during the lifeof a product
It is an aspect of engineeringuncertainty
It is concerned with the Probability thatan item will perform a required functionwithout failure under stated conditionsfor a stated period of time
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Probabilistic ReliabilityWhen we consider Reliability as a Probability,any attempt to quantify it must involvestatistical methods
We can specify Reliability as: The mean number of failures in a given time
(Failure Rate)
The mean time between failures (MTBF) for itemsrepaired and returned to use
The mean time to failure (MTTF) for non-repaireditems
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Probabilistic Reliability Variation is often a function of time or time-related factors – operating cycles, seasonality,maintenance periods, …
Historical Reliability data can not be used tomake credible forecasts of future behaviourwithout taking into account non-statisticalfactors – design changes, maintainer training,
unforeseeable problems, …
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Repairable itemsReliability is the probability that failure willnot occur in the period of interest, whenmore than one failure can occur
Also expressed as Failure Rate or Rate of Occurrence of Failures (ROCOF), andMTBF under a constant rate of failure
Repairs take time, so we are alsoconcerned with Availability
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Availability Availability is a function of Quality,Reliability and Maintenance orMaintainability (Mean Time To Repair
MTTR )It is affected by the failure rate andmaintenance time
Maintenance can be corrective orpreventive
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Non-repairable itemsReliability is the probability of survival over theintended life, or for a period during its life, whenonly one failure can occur
The instantaneous probability of the first andonly failure is the hazard rate
Reliability characteristics include MTTF and theexpected time by which a certain percentagemight have failed
One failure leads to system failure, so systemfailure is a function of the time to the first failure
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Hazard rate can vary with time
Constant rate for non-repairable itemscharacterises failures caused by excessiveloads at a constant average rate
Overstress failures due to accidental ortransient circuit overload and Maintenance-induced failures in mechanical equipmenttypically occur randomly and at a generallyconstant rate
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Hazard rate can vary with time
Constant rate for repairable itemsindicates externally induced failures, asper non-repairable items, and is also
typical of complex systems subject torepair and overhaul, where different partsexhibit different patterns of failure with
time and parts have different ages sincerepair.
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Hazard rate can vary with timeMaterial fatigue brought about by strengthdeterioration due to cyclic loading is a failuremode which does not occur for a finite time, and
then exhibits an Increasing probability of occurrence in non-repairable items
Increasing failure rates occur in repairable systems when wearout failure modes begin to
predominate
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Hazard rate can vary with timeDecreasing rates for non-repairable items occurin items less likely to fail as their survival timeincreases
Repairable items show decreasing rates whenreliability is improved by progressive repair
“Burn In” of components improves reliability of surviving population
Combined effect generates the Bathtub Curvewhere death is analogous to failure
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Bathtub Curve
Alan Pendry
Time
Infant
mortality
WearoutUseful
life
Externally
Induced
Failures
Total hazard rate bathtub
Wearout of
good items
Failures of weak items
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Reliability as an Effectiveness Parameter
Reliability should be specified and paid for
Cost of non-availability can be very high
Reliability affects availability and is often related
to availability by the formula: Availability = MTBF
MTBF + MTTR
We are constrained by the statistical limits imposed by available data
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Managing Reliability
Reliability can be improved by QualityControl where designs are simple andoccasional failures have no significant
operational or financial effectFormal reliability programmes are requiredwhere risks are high or systems are
complex
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Reliability programmes
Reliability programmes should be basedon responsibility and authority given to anindividual based on defined objectives:
Warranty cost reduction/maximum figure
Demonstrable MTTF
A requirement that failure will not occur
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Reliability programmes
A Reliability program must begin at theconcept phase where decisions related tothe following areas, amongst others, are
made: Risks involved in the specification
Development time scale
Resources applied to evaluation and test Available skills
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Reliability programmes A Reliability program involves negotiation withmany departments over acceptable orpermissible trade-offs
As development proceeds to detailed design thereliability risks are controlled by a formal,documented approach to the review of thedesign and the imposition of design rules
relating to components, materials, processselection, tolerancing, . . .
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Reliability programmesThe programme continues through initialproduction and testing by planning andexecuting tests to generate confidence in thedesign and by collecting, analysing and acting
upon test dataQC activities during production ensure that theproven design is repeated, with further testingto eliminate weaknesses
Data collection and analysis continuesthroughout production and use, giving theprogramme a cyclical nature
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Reliability economics
Less than perfect reliability is the result of failures
All failures have causes
What is the cost of preventing orcorrecting the cause compared with doingnothing?
Total costs reduce as reliability improves
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Reliability economics
Achieving reliable designs and productsrequires an integrated approach
Is is therefore difficult to separately
identify and cost the activities specificallydevoted to reliability
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Reliability & lifecycle costs:Traditional view O’Connor, P15
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Total costs
Q&R programme costs
Failure costs
100%
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Reliability & lifecycle costs:Modern view O’Connor, P15
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Total costs
Development/Production costs
Failure costs
100%
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Reading around . . .
Characteristics of the Bathtub curve
Burn-in: What is it and how does itwork for electrical and mechanical
items?
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Any questions?
Alan Pendry