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 transcript:

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.

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.

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

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

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

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

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

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.

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.

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

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.

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.

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.

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.

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).

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.

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).

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).

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).

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.

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).