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Reliability Engineering
Fred Schenkelberg
fms@fmsreliability.com
FAULT TREES & BLOCK DIAGRAMS
Day 2 Session 1
Objectives
• Recognize vulnerabilities in a system and
reduce risk
• Fault Tree Analysis and Block Diagrams
• Using simulation to improve decision making
• Using simulation options (policies, pools &
resources)
• Combining life distributions with life stress
relationships
Discovery of Risks
• What could go wrong?
• What has gone wrong?
• Analysis
• Testing
Analysis
• FMEA
• What if
• Modeling
• Expert opinion
Hazard Analysis
• Plot severity and
occurrence
• Local policy on priorities
Likelihood of Occurrence
Severity
Identification in not enough
• Experiments
• Design
• Constrain
• Mitigate
Discussion & Questions
Fault Tree Analysis
Deductive analysis process
FTA Construction
1. Define the fault condition, and write down the top level
failure.
2. Using technical information and professional judgments,
determine the possible reasons for the failure to occur.
3. Continue to break down each element with additional gates
to lower levels.
4. Finalize and review the complete diagram. The chain can
only be terminated in a basic fault: human, hardware or
software.
5. If possible, evaluate the probability of occurrence for each of
the lowest level elements and calculate the statistical
probabilities from the bottom up.
What is Fault Tree Analysis, by Simha Pilot, Quality Progress, March 2002
Reliability Block Diagram
• Reliability Block
Diagrams (RBDs) are
graphical
representations of the
components of the
system and how they
are reliability-wise
related
--Reliasoft.com
RBD Construction
• Series • Parallel
A
B
A B
Discussion & Questions
Simulation
• Build RBD
• Run simulation
– 100 days
– 100 cycles
– What if analysis
Blocksim Simulation
• An airline does annual
inspections of vests
• Replace faulty vests
only
• Vests fail with Weibull
distribution – beta 2.55
and eta 6.89 years
• Should we change the
inspection interval?
Blocksim Simulation
Discussion & Questions
Policies
• Rules to govern repair
and maintenance tasks
• Inspections
• Crews
• PM and CM tasks
Block Diagram
Which relays are most important availability wise?
Importance Plot
Spares planning
Discussion & Questions
Monty Carlo Methods
• Failure mechanism
models
• Empirical models
• Use stress and
environment models
Monte Carlo
1. Define a domain of
possible inputs.
2. Generate inputs
randomly from a
probability distribution
over domain.
3. Perform a deterministic
computation on the
inputs.
4. Aggregate the results. Area of Circle = π / 4
Area of Square
Example
• 30 known failure
mechanisms
• Distribution of use and
environmental stresses
• Models to predict
failures
Outputs
Time
ProbabilityofFailure
Discussion & Questions
Summary
• Recognize vulnerabilities in
a system and reduce risk
• Fault Tree Analysis and
Block Diagrams
• Using simulation to
improve decision making
• Using simulation options
(policies, pools &
resources)
• Combining life distributions
with life stress relationships
Fault Trees &
Block Diagrams

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Reliability Maintenance Engineering 2 - 1 Concepts and Software

Editor's Notes

  1. Recognize vulnerabilities in a system and reduce risk
  2. Balance between investment and value
  3. FTA and RBD-
  4. Balance between investment and value
  5. Blocksim simulation
  6. Balance between investment and value
  7. Simulation options – policies, etc.
  8. In this analysis, the relays are reliability-wise identical; however, their position within the diagram matters. This is best illustrated by the reliability importance plot shown next. As you can see, a specific relay failure affects the system differently due to its position within the system. Specifically and in order of importance, the greatest impact is if relay 2 or 5 fails, followed by relay 4 or 3 and then by relay 1 or 6.
  9. Balance between investment and value
  10. Simulation distributions and environment/assembly variation
  11. <image of multiple distribution into black box and an output distribution>
  12. For example, consider a circle inscribed in a unit square. Given that the circle and the square have a ratio of areas that is π/4, the value of π can be approximated using a Monte Carlo method:[3]Draw a square on the ground, then inscribe a circle within it.Uniformly scatter some objects of uniform size (grains of rice or sand) over the square.Count the number of objects inside the circle and the total number of objects.The ratio of the two counts is an estimate of the ratio of the two areas, which is π/4. Multiply the result by 4 to estimate π.
  13. Balance between investment and value