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Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Chapter 3 Life Data Analysis.

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Presentation on theme: "Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Chapter 3 Life Data Analysis."— Presentation transcript:

1 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Chapter 3 Life Data Analysis and Probability Plotting © 2012 John Wiley & Sons, Ltd.

2 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.1 Probability plotting alternatives in regards to the possible pdf of failure distribution.

3 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.2 Normal probability plot.

4 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.3 Complete data set.

5 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.4 Right censored data.

6 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.5 Interval censored data.

7 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.6 Left censored data.

8 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.7 Weibull probability paper. Abscissa - ln t, Ordinate - ln ln.

9 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.8 Data plotted on Weibull paper for Example 3.1, β ≈ 2.0 and η ≈ 320.

10 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.9 3-parameter Weibull distribution plotted withWeibull++ ® (Reproduced by permission of ReliaSoft).

11 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.10 Relationship between the bathtub curve and the Weibull slope β.

12 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.11 Minimizing distance in the X-direction.

13 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.12 Two-sided 90% confidence bounds.

14 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.13 One-sided confidence bounds.

15 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.14 Weibull++ ® two-sided 90% confidence bounds for Weibull distribution (Reproduced by permission of ReliaSoft).

16 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.15 Confidence limits for shape parameter β for different confidence values.

17 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.16 Weibull++ ® 90% confidence bounds on B10-life and Reliability (Example 3.1) (Reproduced by permission of ReliaSoft).

18 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.17 Weibull++ ® distribution ranking based on the goodness of fit (Rank Regression on X) (Reproduced by permission of ReliaSoft).

19 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.18 Separate groups of data points (Reproduced by permission of ReliaSoft).

20 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.19 Mixed Weibull distribution plotted with Weibull++ ® (Reproduced by permission of ReliaSoft): (A) Probability Plot (unreliability vs. time); (B) Hazard Rate.

21 Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Figure 3.20 Probability plot of the breaking strength (Weibull++ ® ), Extreme value distribution (Reproduced by permission of ReliaSoft).

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