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Reliability for NDT
Tutorials: POD Advanced
June
200
9
4th European-American Workshop
on Reliability of NDE
23 June, 2009
L. Schaefer
ww
w.ndt.net/index.php?id=
8312
Introduction Round:
- How are you involved with NDE reliability in your present role?
- What do you hope to accomplish in the next 6 months with the tools learned here?
Goals:
� Understand history of NDE MSE� Know how to vet requests for POD information� Improve skills for selection and application of POD
tools� Know resources for POD modeling� Become familiar with current state of the art in PO D
data analysis
� Empirical & Model Assisted methods for NDE Reliabil ity measurement
- Fore runners: Review of MSE history for NDE process es
- Fitting NDT MSE tasking to customer protocols – “Cus tomer focus”
- Modular approach for NDT Reliability
- Deploying transfer functions in reproducibility & r epeatability
- POD generation & Confidence bound estimation tools - 1823
- Probability models for noise
Advanced Roadmap –
- A-hat vs a models & applicability
- Incorporation of S+N relationships into POD vs A
- Binomial analysis and asymptotic PODs
- Multiparameter PODs
- Signal & Image based PODs
- Selection & application of models for substantiatio n of capability
Objective: Resource & SME awareness, adopting and developing best practices
Review of MSE history for NDE processes
� Capability and reliability assessments for NDE in u se since the early 1970s
� Motivation: large gaps of “hoped for”, vs validated and experienced on failed hardware
� Various tools/programs/protocols emerged to answer calls for NDE MSE solutions:
� 29/29, GLM, Pass/Fail, PEM, a-hat vs. a, DOE-POD, R OC, Re, S&N� ASM NDT Hnbk, Mil STD 1823� ASM NDT Hnbk, Mil STD 1823� Capabilities handbooks� NDE Reliability working groups: E-A (this week), M APOD, Agency,…
� Continued dueling concerns must be addressed: � Cost of knowledge development high (samples Mfg, la rge canvas of
inspector and inspection facilities)� Desire for high quality reliability knowledge to s upport lean and robust
designs and cost of ownership
Solution: Exploit what we know, drive common practices, advance Modeling
Fitting NDT MSE tasking to customer protocols –“Customer focus”
How^ n for thinking about measuring NDE effectiveness� How can we use our present knowledge to characteriz e an in
use system (instead of re-measuring)?� For an NDE process you assume capable to design
requirements; what size flaw is it capable of detec ting, what proportion of those defects are detected…. And how (confidence) do you know that?(confidence) do you know that?
� Comparing NDE processes, which one will find the sm allest defects? Which one will find the most defects? How do you know this?
� For any durable infrastructure… or product: Would a better inspection improve product life? When should you s chedule an in-service inspection? How do you know that?
� Thanks to Derek Sturges & Chuck Annis
Fitting NDT MSE tasking to customer protocols –“Customer focus”
� What is our task/deliverable?� Validate smallest crack we can find?� Identify the largest crack we can miss?� Validate a detection capability over a range of fla ws to support
probabilistic lifing & maintenance planning?� Who are our stakeholders? What are their higher tie r Reqts?� Resource stewardship:
� Apply knowledge management to understand what we ha ve � Apply knowledge management to understand what we ha ve learned/validated to date
� Conduct gap analysis against deliverables� Design and execute effective NDE MSE workscope
� Understanding the component/infrastructure and flaw genealogy
� Drive toward zoning and focused inspections� Understand the implications of flaw type, size, loca tion and
interaction (with other flaws and matrix)
Modular Approach to NDE Reliability� Initiated by BAM & promoted in the European America n
NDE Reliability working group� Initially defined NDE reliability as:
� Degree that an NDT system is capable of achieving i ts purpose regarding detection, characterization and false call s
� Evolved through the proposals of BAM from� R = f(IC) - g(AP) - h(HF)� Further work led to conclusions that there is no � Further work led to conclusions that there is no
absolute truth regards how to determine NDI reliabi lity, and especially how to quantify the human factors.
� Rather every NDI system must be qualified and valid ated on a case by case basis, leveraging accumulated knowledg e over time
Present vision of Modular Concept
� Continue to work to understand the influences and their interaction for the method and interaction physics, the specific the specific application parameters and influence of human factors
Debated again this week in the workshop
Modular Model concept - MAPOD
� MAPOD is “Model Assisted Probability of Detection” and there exists a working group led by ISU-CNDE to adv ance partial/full model based generation of POD
� Present concept:
Model assisted PODUnderstanding and deploying transfer functions
� When substantiated by examination of data and devel oped understanding of the inspection model, efficiencies can exist where a previously demonstrated POD capability can be tra nsferred to a closely related inspection without a repeat of the experiment
� These partial model assisted PODs are called transf er functions� Examples:
� Flat to curved� Crack to notch
Alloy to alloy� Alloy to alloy� Moderate, but well characterized process changes
� Key Enabler: Appropriate understanding of the under lying physical model
� Effectively these are realized as a debit or credit in the predicted NDE system response to the target flaw or range of flaws
� Its central advantage is to broaden the understandi ng of exam elements and facilitate their application without ( significant) additional cost/effort
Lets: Walk a typical process - MAPOD
� Empirical & Model Assisted methods for NDE Reliabil ity measurement
- Next after 15 minute break:
- POD generation & Confidence bound estimation tools - 1823
- Probability models for noise
- A-hat vs a models & applicability
- Incorporation of S+N relationships into POD vs A
- Binomial analysis
Advanced Roadmap –
- Multiparameter PODs
- Signal & Image based PODs
- Selection & application of models for substantiatio n of capability
Objective: Resource & SME awareness, adopting and developing best practices
POD generation and confidence bound estimation tools
� There exists a significant number of legacy POD/CL generation and analysis tools
� Base:� DOS – PF and Ahat vs. A (WPAFB) use restricted� Excel (w/ WPAFB add on executable)� Minitab� S-Plus� Mathematica…
DOEPOD (NASA)� DOEPOD (NASA)
� The new Mil 1823 (still in draft form) has an avail able and uniquely advantaged software created in open source R
� http://www.r-project.org/� Software and professional training available from
- www.statisticalengineering.com Charles (Chuck) Annis- Short courses - http://www.statisticalengineering.com/mh1823/mh1823-POD-
Course.htm
POD generation and confidence bound estimation tools
How to understand your need:� Literature search and vetting of existing
demonstrations:� NTIAC Capabilities handbook overview
- Available from NTIAC www.ntiac.com
� Steps to incorporate into your assessment
� Empirical & Model Assisted methods for NDE Reliabil ity measurement
- Next after 15 minute break:
- POD generation & Confidence bound estimation tools - 1823
- Probability models for noise
- A-hat vs a models & applicability
- Incorporation of S+N relationships into POD vs A
- Binomial analysis
Advanced Roadmap –
- Multiparameter PODs
- Signal & Image based PODs
- Selection & application of models for substantiatio n of capability
Objective: Resource & SME awareness, adopting and developing best practices
Signal/noise Discrimination
SignalNoiseGood
Poor Poor
Poor process/setupPoor DiscriminationPoor reliability
Good procedure, equipment, … Inspector dependent reliability
SignalNoise
v
Ind
icat
ed
crac
k le
ngth
(a)
True crack length (a)
a vs. a Analysis
� Consider a lognormal scatter in indicated crack length for various cracks lengths
� POD is the probability of indicated
Threshold
� POD is the probability of indicated crack length exceeding the threshold of detection
� Requires quantification of signal leading to detect call
True crack length (a)
POD
� Empirical & Model Assisted methods for NDE Reliabil ity measurement
- Next after 15 minute break:
- POD generation & Confidence bound estimation tools - 1823
- Probability models for noise
- A-hat vs a models & applicability
- Incorporation of S+N relationships into POD vs A
- Binomial analysis
Advanced Roadmap –
- Multiparameter PODs
- Signal & Image based PODs
- Selection & application of models for substantiatio n of capability
Objective: Resource & SME awareness, adopting and developing best practices
Working with noise
� Calibration “noise” vs. component
� Often weakly assessed
� Noise impacts the POD/ROC Globally
vInd
icat
ion/
com
pone
ntResp
onse
(a)
Decision Threshold
Noise Threshold� Noise impacts the POD/ROC Globally
� Noise needs to be locally assessed� Sampled to the same confidence level as (a)
� Lessons Learned: ETC CBS - UT
� Improved component/method POD/ROC possible when noise/decision are implemented locally
Ind
icat
ion/
com
pone
ntResp
onse
(a)
True crack length (a)
Noise Threshold
1823: Ensure a thorough understanding of S:N relationships for structure & flaw
� Ensure global and local noise events are characteri zed and accounted for:
1823 Notes on noise–
� See Appendix G
� Empirical & Model Assisted methods for NDE Reliabil ity measurement
- Next after 15 minute break:
- POD generation & Confidence bound estimation tools - 1823
- Probability models for noise
- A-hat vs a models & applicability
- Incorporation of S+N relationships into POD vs A
- Binomial analysis
Advanced Roadmap –
- Multiparameter PODs
- Signal & Image based PODs
- Selection & application of models for substantiatio n of capability
Objective: Resource & SME awareness, adopting and developing best practices
Considerations for Binomial analysis
� Data collection� 1s and 0s (hit/miss) are straightforward
� Implications based on unknown S:N relationships
� How do we know how close to the “edge”?� Implications for Sample library requirements
� Understanding Asymptotic PODs which result
� Challenges in fitting confidence bounds to 1/0 data� Challenges in fitting confidence bounds to 1/0 data
� When might it better than a-hat vs a?� Cost? Risk?
� DOEPOD application – NASA LaRC� Binomialize test data� Improve small data set risk awareness� Method/software in formalization
- SME [email protected]
� Empirical & Model Assisted methods for NDE Reliabil ity measurement
- Next after 15 minute break:
- POD generation & Confidence bound estimation tools - 1823
- Probability models for noise
- A-hat vs a models & applicability
- Incorporation of S+N relationships into POD vs A
- Binomial analysis
Advanced Roadmap –
- Multiparameter PODs
- Signal & Image based PODs
- Selection & application of models for substantiatio n of capability
Objective: Resource & SME awareness, adopting and developing best practices
Multiparameter PODsSignal & Image based PODs
� Approaches recognize the complex nature of POD, and the need to decompose it to understand all sources of v ariance
� Examples- Volume detection probability - Ultrasonic- Signal (amplitude) & Spatial decomposition in image based POD
� Recommended attendance (4 th E-A Reliability workshop)� Multi-Parameter Influence on the Response of the Fl aw to the Phased
Array Ultrasonic NDT System. The Volume PODArray Ultrasonic NDT System. The Volume POD
� Empirical & Model Assisted methods for NDE Reliabil ity measurement
- Next after 15 minute break:
- POD generation & Confidence bound estimation tools - 1823
- Probability models for noise
- A-hat vs a models & applicability
- Incorporation of S+N relationships into POD vs A
- Binomial analysis
Advanced Roadmap –
- Multiparameter PODs
- Signal & Image based PODs
- Selection & application of models for substantiatio n of capability
Objective: Resource & SME awareness, adopting and developing best practices
How to start, Which way to go?
� How do we determine which analysis model is appropriate/best?
� How do we optimize the size/scope of our demonstrat ion?� How do we know we are right?
What question regards POD is being asked?
� Corollary from Understanding Variation
What question regards POD is being asked?
� Corollary from Understanding Variation
What question regards POD is being asked?
� Corollary from Understanding Variation
� Hat tip, Bill Bellows
Step 1 – A Do loop of understanding,….
� Stakeholders fully understand the question and consequences of potential solutions
� Different from hearing/reading comprehension, a pro found system of knowledge is required to make effective use of: Ta gucci Methods, Six Sigma, Lean… and POD using NDE MSE methods
� Helpful guidance to motivate further thought www.in2in.org
� Literature search and vetting prior to program deve lopment –� Literature search and vetting prior to program deve lopment –obvious but done less often…
� Models vetted
Then, � Definition of optimal approach to meet objective� Execution of the MSE work scope in accordance with
understanding of requirements &objectives
� Empirical & Model Assisted methods for NDE Reliabil ity measurement
� Fore runners: Review of MSE history for NDE processes
� Fitting NDT MSE tasking to customer protocols – “Customer focus”
� Modular approach for NDT Reliability
� Deploying transfer functions in reproducibility & repeatability
� POD generation & Confidence bound estimation tools - 1823
� Probability models for noise
Summary & Closure –
� Probability models for noise
� A-hat vs a models & applicability
� Incorporation of S+N relationships into POD vs A
� Binomial analysis and asymptotic PODs
� Multiparameter PODs
� Signal & Image based PODs
� Selection & application of models for substantiation of capability
Feedback:
Did you achieve goals?
� Understand scope and application of majority of POD assessment tools?
� Confident to select and apply?� Motivated to apply to your challenges?
Confident? How do you know that?
References/ResourcesStat Modeling & Hnbk 1823 help� http://www.measuringusability.com/wald.htm� http://www.causascientia.org/math_stat/ProportionCI .html� http://stattrek.com/Help/Glossary� http://www.statisticalengineering.com/Modeling SMEs & Resources� http://www.cnde.iastate.edu/MAPOD/Handbooks/Software� ASM NDT handbook� Mil Std 1823� Mil Std 1823� ASQ Reliability Engineering Bible� Minitab� R – Open source statistical softwarePartner Information Exchange� www.9095.net New release August 2009� How well does your NDT Work