September 2014
Intermediate to advanced
272 pages
6h 59m
English
book
Probabilistic Design for Optimization and Robustness for Engineers
by Bryan Dodson, Patrick Hammett, Rene Klerx
Content preview from Probabilistic Design for Optimization and Robustness for Engineers
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Answers to selected exercises
Chapter 2
-
25.05
-
Probability (x1 < X < x2) = 0.095355
Probability (X < x1) = 0.566184
Probability (X < x2) = 0.661539
-
23.42
-
0.4512
-
μ = 42.50
σ = 40.660
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μ = 3.124
σ = 1.809
-
β = 0.571
θ = 52.527
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49.4
-
μ = 3.125
σ = 3.407
-
75.356
-
0.2098
-
315.28
-
1.0
-
0.0001515
Chapter 3
- 0.598
- 0.683
- 4.16
- 0.33
-
μ = 100
σ = 4.47
Chapter 4
- 2.43
- 1.31
- 0.27
- 26%
-
μ = 100
σ = 4.5
- 1.2%
Chapter 5
-
- Nominal life: 22.05, standard deviation: 3.27
- Assuming normal distribution: below = 9.40%, above = 12.88%
-
- Lower power than spec: 29.8%
-
Theoretical value: 2 400 000
Actual value: 2 472 000
-
Log mean parameter = 14.67
Log STD parameter = 0.3096
-
Below spec: 29.82%
Above spec: 28.87%
-
- SD: 1003
- SD: 997
- Non-symmetrical distributions for input parameters have a small effect on the ability to predict the output standard deviation, usually less than 10% error on the predicted output distribution.
-
- 108
- 110.4
- SD is underestimated by 2.4.
Chapter 6
-
- 0.71
- 0.67
-
- 0.47
- The company should improve Y3 since it has the highest weightage for hitting the target and an increase in desirability would be the largest for this requirement. The new product desirability when Y3 hits the target is 0.89.
-
- 0.64
-
Requirements to be improved
a Strength of material ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.