![Page 1: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/1.jpg)
(*) Contribution of the National Institute of Standards & Technology. Not subject to copyright. 15/4/2018
6 Easy-to-use ( ETU ) Toolsfor
Uncertainty Quantification (UQ)with
Example Applications to
EngineeringResearch & Practice (*)
Dr. Jeffrey T. Fong, P.E.Physicist and Project Manager
National Institute of Standards & Technology (NIST) Gaithersburg, MD 20899
http://www.nist.gov/itl/math/Jeffrey-t-fong.cfm
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
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25/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Outline of Talk ( 1 + 2 + 3 + 4 + 8 = 60 slides )
1. Why is UQ important in Engineering ?2. Example of an Easy-to-use UQ Tool for Engineers.
3. Six Easy-to-use (ETU ) Tools of Engineering UQ .
4. Tool-2, 3, 4, 5. UQ for Brain Metrology Research.
5. Tool-3, & 5. UQ for Flaw Detection and Sizing.6. Tool-1 & 2. UQ for Design of an Aircraft Window.7. Tool-6. UQ for Maintenance Decision Making.
8. Concluding Remarks.
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35/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
1. Why is UQ important in Engineering ?
3 K parts
103 K parts 1000 K
parts
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45/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Sunday Mar. 182018
1. Why is UQ important in Engineering ?
Question-1: When artificial intelligence (AI) makes a lethel mistake, how do we assess blame?
1death
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55/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Question-2: When an engineering judgment makes a lethal mistake, how do we assess blame?
Thursday Mar. 152018
6deaths
1. Why is UQ important in Engineering ?
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65/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Question-3: When a maintenance judgment makes a lethal mistake, how do we assess blame?
Tuesday Apr. 172018
1death
1. Why is UQ important in Engineering ?
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75/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
1. Why is UQ important inEngineering ?
Ans. Because an engineer’s decisionin design, manufacture, operation, andmaintenance needs estimates of stresswith credible uncertainty bounds forsafe operation and failure prevention.
No. of slides Subtotal
5 5
1. Why is UQ important in Engineering ?
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85/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
1a. Why is UQ important inEngineering Research ?
1a. Why is UQ important in Engineering Research ?
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Ref.: Niederberger, S., Gracias, D. H., Komvopoulos, K., Somorjai, G. A., J. Appl. Phys., Vol. 87, No. 6, pp. 3143-3150 (2000).
95/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
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FFM = FFM using a Park Instrument Silicon tips calibrated with SrTiO3.
SFM = SFM using a digital nanoscope II with Hysitron triboscope
POD = Pin on Disk with a diamond-coated tip of 1.2 mm radius of curvature.
105/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
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5/4/2018 11
A nm um mm m km
10^0
10^-1
10^-2
10^-3
10^-4
10^-5
10^-6
10^-7Conc
eptu
al m
easu
re o
f kno
wle
dge
Damage Initiation Damage Propagation
V
U
SS. multi-ScaleU. inter-intra-scale
UncertaintyV. Validation
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]
SS S
U
1a. Why is UQ important in Engineering Research ?
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125/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Ans. Large scale simulations is often used to conduct fundamental research at the nano- and micro-scales. As the scale changes, forces and factors that are dominant at one scale may change at a different scale. Design of experiments tool allows one to rank the importance of factors at one scale, estimate uncertainty, re-formulate for a higher scale by discarding less dominant factors and add new factors to guide the design of a new experiment at a higher scale.
No. of slides Subtotal
10 10
1a. Why is UQ important in Engineering Research ?
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135/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Easy-to-use Tools of Eng. UQ
3.1 Goodness-of-Fit ( GoF ) Test for 64 distributions.
3.2 Predictive Limits & Lower Tolerance Limit ( LTL ).
3.3 Linear Least SQuares ( LLSQ - Regression ).
3.4 Inter-laboratory comparison ( R&R )
and Variance Analysis ( ANOVA ).
3.5 Design of Experiments ( DEX ).
3.6 Non-Linear Least SQuares with LogisticFunction ( NLLSQ - Lgs ).
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
Relatively new to Engineers
![Page 14: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/14.jpg)
145/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Easy-to-use Tools of Eng. UQ
3.1 Goodness-of-Fit ( GoF ) Test for 64 distributions.
3.2 Predictive Limits & Lower Tolerance Limit ( LTL ).
3.3 Linear Least SQuares ( LLSQ - Regression ).
3.4 Inter-laboratory comparison and
Variance Analysis ( ANOVA ).
3.5 Design of Experiments ( DEX ).
3.6 Non-Linear Least SQuares with LogisticFunction ( NLLSQ - Lgs ).
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
What does one mean by
Easy-to-use ?
![Page 15: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/15.jpg)
155/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
![Page 16: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/16.jpg)
165/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
https://www-s.nist.gov/loda/index.html
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175/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
https://www-s.nist.gov/loda/index.html
![Page 18: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/18.jpg)
185/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
https://www-s.nist.gov/loda/index.html
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195/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
https://www-s.nist.gov/loda/index.html
Input Data File-1 Input Data File-2
0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00.1 0.1 0.1 0.1 0.10.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.10.3 0.3 0.3 0.3 0.30.3 0.3 0.3 0.3 0.30.3 0.3 0.3 0.3 0.31 1 1 1 1 1 1 1 1 11 1 1 1 1 3 3 3 3 33 3 3 3 3 3 3 3 3 3
0 0 0 0 0 0 0 0 212 251239 0 0 0 0 0 188 0 180 0170 219 213 0 0 0 0 250 191 200223 214 193 0 0 0 0 202 173 0
0 0 0 294 174 242 0 0 272 203189 211 212 239 282 198 0 191 223 218 236 177 274 244 342 222 237 261 279 284255 248 338 426 279 280 264 313 351 321400 283 349 357 344 749 614 739 861 711751 654 695 689 611 726 1651 756 693 781
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205/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
![Page 21: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/21.jpg)
215/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
![Page 22: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/22.jpg)
225/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
No. of slides Subtotal
10 20
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235/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Easy-to-use Tools of Eng. UQ
3.1 Goodness-of-Fit ( GoF ) Test for 64 distributions.
3.2 Predictive Limits & Lower Tolerance Limit ( LTL ).
3.3 Linear Least SQuares ( LLSQ - Regression ).
3.4 Inter-laboratory comparison ( R&R )
and Variance Analysis ( ANOVA ).
3.5 Design of Experiments ( DEX ).
3.6 Non-Linear Least SQuares with LogisticFunction ( NLLSQ - Lgs ).
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
Relatively new to Engineers
![Page 24: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/24.jpg)
245/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-1Goodness-of-Fit ( GoF ) Test
for 64 distributions.
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255/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-1 Goodness-of-Fit ( GoF ) Test for 64 distributions.
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265/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3.1 Goodness-of-Fit ( GoF ) Test for 64 distributions.
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275/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3.1 Goodness-of-Fit ( GoF ) Test for 64 distributions.
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285/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-2
Predictive Limits&
Lower Tolerance Limit ( LTL ).
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295/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-2 Predictive Limits & Lower Tolerance Limit ( LTL ).___________________________________________________________________________
3 intervals for Error Estimation___________________________________________________________________________
Predi:
Toli:
n = sample size.
1 - α = confidence.
t = t-distribution.
df = n – 1 .
p = coverage.
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Let’s graph it [5]: For ν = n – 1 = df, the p.d.f. (probability density function) of a t-distribution
(t ; ν ) is given by f ( x; ν ) =
where its mean = 0 , ( ν > 1 ),and its variance = ν / (ν - 2) , ( ν > 2 ).
30
Q.-3.2.1 What is a t-distribution ?
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
3.2 Predictive Limits & Lower Tolerance Limit ( LTL ).
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Q.-3.2.2 How does one calculate a confidence interval ( Coni ) ?
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
An example of a 10-data set of the ultimate tensile strength (MPa) of a material X is given below by an ordered set of 10 numbers:
73, 76, 80, 90, 100 , 100, 110, 120, 124, 127,
where n = 10, m = 100, and s.d. = 20. From the t-table,t ( 0.025, 9 ) = 2.262. From the formula for d1 , d1 = 2.262 * 20 * sqrt (1/10) = 14.31. Therefore, theconfidence interval at 95 % C.L. is, (86, 114).
3.2 Predictive Limits & Lower Tolerance Limit ( LTL ).
31
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Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
An example of a 10-data set of the ultimate tensile strength (MPa) of a material X is given below by an ordered set of 10 numbers:
73, 76, 80, 90, 100 , 100, 110, 120, 124, 127,
where n = 10, m = 100, and s.d. = 20. From the t-table,t ( 0.025, 9 ) = 2.262. From the formula for d2 , d2 = 2.262 * 20 * sqrt (1+1/10) = 47.45. Therefore,predictive interval at 95 % C.L. is, (53, [data set] 147).
Note: Predictive interval is always wider than Confidence Interval.
3.2 Predictive Limits & Lower Tolerance Limit ( LTL ).
32
Q.-3.2.3 How does one calculate a predictive interval ( Predi ) ?
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335/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3.2 Predictive Limits & Lower Tolerance Limit ( LTL ).
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345/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-3Linear Least Squares( LLSQ - Regression ).
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355/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-3 Linear Least SQuares ( LLSQ - Regression ).
![Page 36: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/36.jpg)
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
3.3 Linear Least SQuares ( LLSQ - Regression ).
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375/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-4Repeatability and
Reproducibility ( R&R )Analysis
andVariance Analysis
( ANOVA ).
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385/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Tool-4 R&R Analysis and ANOVA .
E691 INTERLAB ( R&R )Ref: “Standard Practice for Conducting an Interlaboratory Study to Determine the Precision of a test Method,” ASTM International, West Conshohoceken, PA 19428-2959.
The purpose of the E691 INTERLAB command is to estimate the precisionof a test method. Two important concepts in termining the precision are:
1. Repeatability – repeatability concerns the variability between independent test results obtained within a single laboratory in the shortest practical period of time by a single operator with a specific set of test apparatus using test specimens taken at random from a single quantity of homogeneous material.
2. Reproducibility – reproducibility is the variability between single test results obtained in different laboratories, each of which has applied the test method to test specimens taken at random from a single quantity of homogeneous material.
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395/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Tool-4 R&R Analysis and ANOVA .
Analysis of Variance ( ANOVA )
Description: Analysis of Variance (ANOVA) is a data analysis technique for examining the significance of the factors ( = independent variables ) in a multi-factor model.
The number of factors must be between 1 and 5 inclusive. Each factor then has a certain number of values it can have (referred to as the levels of a factor). The number of levels does not have to be the same for each factor.
Each factor and level combination is a cell (the number of cells is the product of the number of levels in each factor).
Balanced designs are those in which each cell has an equal number of observations and unbalanced designs are those in which the number of observations can vary between cells.
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405/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-5Design of Experiments
( DEX ).
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415/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Tool-5 Design of Experiments ( DEX ).
![Page 42: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/42.jpg)
425/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3.5 Design of Experiments ( DEX ).
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435/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3.5 Design of Experiments ( DEX ).
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445/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Non-Linear Least SQuareswith
Logistic Function
( NLLSQ - Lgs).
Tool-6
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455/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3. Six Tools of Eng. UQ
Non-Linear Least SQuares with LogisticFunction ( NLLSQ - Lgs).
Pierre Francois Verhulst (1845)
Tool-6
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Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
Element Size: Fine
24,606 elements
123,657 d.o.f.
3.6 Non-Linear Least Square Fit with a Logistic Function ( NLLSQ )
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Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
Element Size: Fine
364.35 MPa
3.6 Non-Linear Least Square Fit with a Logistic Function ( NLLSQ )
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Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
369.2 MPa, s.d. = 0.6 MPa
Residual S.D. = 1.38 ( Fit is GOOD.)
Ans. Max. Mises Stress at 95 % confidence level = ( 368.0, . . . . . , 370.4 MPa )
6,932,883
3.6 Non-Linear Least Square Fit with a Logistic Function ( NLLSQ )
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495/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
3.6 Non-Linear Least Square Fit with a Logistic Function ( NLLSQ )
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505/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Summary of Six Tools of UQNew Concept ? New Software ?
3.1 GoF / 64 No. Dataplot3.2 coni , Predi , LTL No. Dataplot, R3.3 LLSQ - Regression No. Dataplot, R3.5 R&R + ANOVA No. Dataplot, R3.5 DEX Yes. Dataplot, R3.6 NLLSQ Yes. Dataplot
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
No. of SubtotalSlides
28 48
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515/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. UQ Tool-2, 3, 4, & 5 :
Brain Metrology
Research.
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
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525/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
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535/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
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545/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
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555/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
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565/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
DICE MHD (mm)
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575/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
DICE MHD (mm)
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585/4/2018
4. Tool-2, 3, 4, 5 : Brain Metrology Research
2015 Data36 Tissues
of which15 triples7 doubles
14 SinglesUnbalanced
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595/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
2015 Data36 Tissues
of which15 triples7 doubles
14 SinglesUnbalanced
2015 subset15 Tissueseach of which is a triple (3-dir)balanced
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605/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
2015 Data36 Tissues
of which15 triples7 doubles
14 SinglesUnbalanced
2015 subset15 Tissueseach of which is a triple (3-dir)balanced
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615/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
2015 Data36 Tissues
of which15 triples7 doubles
14 SinglesUnbalanced
2015 subset15 Tissueseach of which is a triple (3-dir)balanced
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625/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
4. Tool-2, 3, 4, 5 : Brain Metrology Research
No. of SubtotalSlides11 59
2015 subset15 Tissueseach of which is a triple (3-dir)balanced
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635/4/2018
8. Concluding Remarks
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]
No. of slides Subtotal
1 60
8.1 Uncertainty in all aspects of engineering from designto manufacturing, testing, operation, maintenance, and lifeextension, is quantifiable with the help of moderncomputing.
8.2 Uncertainty quantification ( UQ ), however, does notcome without cost, and engineers need to learn how toperform an Elementary Probability Risk Analysis (EPRA) tojustify the cost of UQ against the benefit of uncertainty-based asset management that reduces failure probability toan “acceptable” minimum.
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
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Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
Disclaimer
Certain commercial equipment, instruments,materials, or computer software are identified inthis talk in order to specify the experimental orcomputational procedure adequately. Suchidentification is not intended to implyrecommendation or endorsement by the NationalInstitute of Standards & Technology, nor is itintended to imply that the materials, equipment, orsoftware identified are necessarily the bestavailable for the purpose.
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Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
Speaker’s Biographical Sketch
Dr. Jeffrey T. Fong has been Physicist and Project Manager at the Applied and Computational Mathematics Division, Information Technology Laboratory, National Institute of Standards and Technology (NIST), Gaithersburg, MD, since 1966.
He was educated at the University of Hong Kong (B.Sc., Engineering, first class honors, 1955), Columbia University (M.S., Engineering Mechanics, 1961), and Stanford (Ph.D., Applied Mechanics and Mathematics, 1966). Prior to 1966, he worked as a design engineer (1955-63) on numerous power plants (hydro, fossil-fuel, nuclear) at Ebasco Services, Inc., in New York City, and as teaching & research assistant (1963-66) on engineering mechanics at Stanford University.
During his 40+ years at NIST, he has conducted research, provided consulting services, and taught numerous short courses on mathematical and computational modeling with uncertainty estimation for fatigue, fracture, high-temperature creep, nondestructive evaluation, electromagnetic behavior, and failure analysis of a broad range of materials ranging from paper, ceramics, glass, to polymers, composites, metals, semiconductors, and biological tissues.
A licensed professional engineer (P.E.) in the State of New York since 1962 and a chartered civil engineer in the United Kingdom and British Commonwealth (A.M.I.C.E.) since 1968, he has authored or co-authored more than 100 technical papers, and edited or co-edited 17 national or international conference proceedings. He was elected Fellow of ASTM in 1982 and Fellow of ASME in 1984. In 1993, he was awarded the prestigious ASME Pressure Vessels and Piping Medal. Most recently, he was honored at the 2014 International Conference on Computational & Experimental Engineering & Sciences (ICCES) with a Lifetime Achievement Medal.
Since 2006, he has been Adjunct Professor of Mechanical Engineering and Mechanics at Drexel University and taught a graduate-level 3-credit course on “Finite Element Method Uncertainty Analysis.” Since Jan. 2010, he has given every 6 months an on-line 3-hour short course at Stanford University on “Reliability and Uncertainty Estimation of FEM Models of Composite Structures.” In 2012, he was appointed Adjunct Professor of Nuclear and Risk Engineering at the City University of Hong Kong, and Distinguished Guest Professor at the East China University of Science & Technology, Shanghai, China, to teach annually a 1-credit 16-hour short course on “Engineering Reliability and Risk Analysis.”
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665/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
Appendix ( 5 + 6 + 7 = 24 more slides )
1. Why is UQ important in Engineering ?
2. Example of an Easy-to-use UQ Tool for Engineers.
3. Six Easy-to-use (ETU ) Tools of Engineering UQ .
4. Tool-2, 3, 4, 5. UQ for Brain Metrology Research.
5. Tool-3, & 5. UQ for Flaw Detection and Sizing.6. Tool-1 & 2. UQ for Design of an Aircraft Window.7. Tool-6. UQ for Maintenance Decision Making.
8. Concluding Remarks.
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675/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
5. UQ Tool-3, and 5 :
Flaw Detection and
Sizing (NDE UQ).
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
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685/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
5. Tool-3, & 5 : Flaw Detection and Sizing.
NDE-UQ Approach No. 1 using
Tool-3 ( LLNQ - Regression )
![Page 69: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/69.jpg)
695/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
5. Tool-3, & 5 : Flaw Detection and Sizing.
![Page 70: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/70.jpg)
705/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
NDE-UQ Approach No. 2 using
Tool-5 ( DEX )
5. Tool-3, & 5 : Flaw Detection and Sizing.
![Page 71: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/71.jpg)
715/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
5. Tool-3, & 5 : Flaw Detection and Sizing.
![Page 72: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/72.jpg)
725/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
5. Tool-3, & 5 : Flaw Detection and Sizing.
![Page 73: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/73.jpg)
735/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
5. Tool-3, & 5 : Flaw Detection and Sizing.
![Page 74: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/74.jpg)
745/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
5. Tool-3, & 5 : Flaw Detection and Sizing.
No. of slides Subtotal
9 9
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755/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
6. UQ Tool-1, and 2 :
Design of an
Aircraft WindowRef.: Fuller, Jr., E. R., Freiman, S. W., Quinn, J. B., Quinn, G. D., andCarter, W. Craig, "Fracture mechanics approach to the design of glass aircraftwindows: a case study," Proc. Conf., SPIE - The International Society for
Optical Engineering, 26-28 July 1994, San Diego, CA, Vol. 2286, pp. 419-430 (1994)
A simplified version of Equation (18) in the reference mentioned above appears on the next slide:
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
![Page 76: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/76.jpg)
765/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
6. Tool-1, 2 : Design of an Aircraft Window.
( tf ) :
#Unit of tf is s, unit of S, Sv , σ is MPa, unit of λ is (MPa)N’ * s, and N’ is dimentionless.
![Page 77: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/77.jpg)
775/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
6. Tool-1, 2 : Design of an Aircraft Window.
Ref.: Fong, J. T., Marcal, P. V., Heckert, N. A., Filliben, J. J., and Freiman, S. W., “Confidence Interval Estimation for Location Parameter of a 3-Parameter Weibull Distribution,” submitted to NIST Journal of Research, Dec. 2010. Contact [email protected] for advance copy of an updated version of the manuscript.
Legend:
s.d. = standard deviation.
var = variance = (s.d.)2.
![Page 78: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/78.jpg)
785/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
6. Tool-1, 2 : Design of an Aircraft Window.
![Page 79: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/79.jpg)
795/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
6. Tool-1, 2 : Design of an Aircraft Window.
![Page 80: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/80.jpg)
805/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
6. Tool-1, 2 : Design of an Aircraft Window.
![Page 81: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/81.jpg)
815/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
6. Tool-1, 2 : Design of an Aircraft Window.
No. of slides Subtotal
7 16
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825/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
7. UQ Tool-6 Application:
Maintenance
Decision Making.
An Invited Presentation at UTA Research Institute, May 4, 2018, 12 noon (Prof. Ken reifsnider, host)
![Page 83: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/83.jpg)
835/4/2018Jeffrey T. Fong, NIST, Gaithersburg, MD
20899 USA. Tel: 1-301-975-8217 Email: [email protected]
7. Tool-6 Application: Maintenance Decision Making.
![Page 84: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/84.jpg)
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
7. Tool-6 Application: Maintenance Decision Making.
![Page 85: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/85.jpg)
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
ABAQUSHexa-08
7. Tool-6 Application: Maintenance Decision Making.
![Page 86: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/86.jpg)
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
ABAQUSHexa-08
7. Tool-6 Application: Maintenance Decision Making.
![Page 87: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/87.jpg)
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
ABAQUSHexa-08
ABAQUSHexa-20
7. Tool-6 Application: Maintenance Decision Making.
![Page 88: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/88.jpg)
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
7. Tool-6 Application: Maintenance Decision Making.
![Page 89: for Uncertainty Quantification (UQ) · 5/4/2018 3 Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217 Email: fong@nist.gov 1. Why is UQ important in Engineering](https://reader030.vdocuments.site/reader030/viewer/2022041218/5e07713db3e1ee67ca797050/html5/thumbnails/89.jpg)
Jeffrey T. Fong, NIST, Gaithersburg, MD 20899 USA. Tel: 1-301-975-8217
Email: [email protected]/4/2018
ABAQUSHexa-20
ABAQUSHexa-08
No. of slides Subtotal
8 24