Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Published byAntonia Reeves Modified over 9 years ago

Similar presentations

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).

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

Similar presentations

+ Failure rates. + outline Failure rates as continuous distributions Weibull distribution – an example of an exponential distribution with the failure.

+ Failure rates. + outline Failure rates as continuous distributions Weibull distribution – an example of an exponential distribution with the failure.
Reliability Engineering (Rekayasa Keandalan)

Reliability Engineering (Rekayasa Keandalan)
12 Multiple Linear Regression CHAPTER OUTLINE

12 Multiple Linear Regression CHAPTER OUTLINE
11 Simple Linear Regression and Correlation CHAPTER OUTLINE

11 Simple Linear Regression and Correlation CHAPTER OUTLINE
Helicopter System Reliability Analysis Statistical Methods for Reliability Engineering Mark Andersen.

Helicopter System Reliability Analysis Statistical Methods for Reliability Engineering Mark Andersen.
Copyright © 2008 by the McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Managerial Economics, 9e Managerial Economics Thomas Maurice.

Copyright © 2008 by the McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Managerial Economics, 9e Managerial Economics Thomas Maurice.
Figure1.5 Elevator input and output

Figure1.5 Elevator input and output
10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.
1 Choice of Distribution 1.Theoretical Basis e.g. CLT, Extreme value 2.Simplify calculations e.g. Normal or Log Normal 3.Based on data: - Histogram - Probability.

1 Choice of Distribution 1.Theoretical Basis e.g. CLT, Extreme value 2.Simplify calculations e.g. Normal or Log Normal 3.Based on data: - Histogram - Probability.
9-1 Hypothesis Testing Statistical Hypotheses Statistical hypothesis testing and confidence interval estimation of parameters are the fundamental.

9-1 Hypothesis Testing Statistical Hypotheses Statistical hypothesis testing and confidence interval estimation of parameters are the fundamental.
Continuous Random Variables Chap. 12. COMP 5340/6340 Continuous Random Variables2 Preamble Continuous probability distribution are not related to specific.

Continuous Random Variables Chap. 12. COMP 5340/6340 Continuous Random Variables2 Preamble Continuous probability distribution are not related to specific.
8 Statistical Intervals for a Single Sample CHAPTER OUTLINE

8 Statistical Intervals for a Single Sample CHAPTER OUTLINE
4-1 Statistical Inference The field of statistical inference consists of those methods used to make decisions or draw conclusions about a population.

4-1 Statistical Inference The field of statistical inference consists of those methods used to make decisions or draw conclusions about a population.
Inferences About Process Quality

Inferences About Process Quality
Chapter 1 Introduction To Information Systems Copyright © 2014 John Wiley & Sons, Inc. All rights reserved. Introduction to Information Systems Fifth Edition.

Chapter 1 Introduction To Information Systems Copyright © 2014 John Wiley & Sons, Inc. All rights reserved. Introduction to Information Systems Fifth Edition.
8-1 Introduction In the previous chapter we illustrated how a parameter can be estimated from sample data. However, it is important to understand how.

8-1 Introduction In the previous chapter we illustrated how a parameter can be estimated from sample data. However, it is important to understand how.
Chapter 9 Title and Outline 1 9 Tests of Hypotheses for a Single Sample 9-1 Hypothesis Testing 9-1.1 Statistical Hypotheses 9-1.2 Tests of Statistical.

Chapter 9 Title and Outline 1 9 Tests of Hypotheses for a Single Sample 9-1 Hypothesis Testing Statistical Hypotheses Tests of Statistical.
-Exponential Distribution -Weibull Distribution

-Exponential Distribution -Weibull Distribution
Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 12 Analyzing the Association Between Quantitative Variables: Regression Analysis Section.

Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 12 Analyzing the Association Between Quantitative Variables: Regression Analysis Section.
Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Chapter 9 Electronic Systems.

Practical Reliability Engineering, Fifth Edition. Patrick D. T. O’Connor and Andre Kleyner. © 2012 John Wiley & Sons, Ltd. Chapter 9 Electronic Systems.

Similar presentations

Ads by Google