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GB/T 34987-2017: Weibull analysis
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Weibull analysis
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GB/T 34987-2017
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PDF similar to GB/T 34987-2017
Basic data | Standard ID | GB/T 34987-2017 (GB/T34987-2017) | | Description (Translated English) | Weibull analysis | | Sector / Industry | National Standard (Recommended) | | Classification of Chinese Standard | L05 | | Word Count Estimation | 61,614 | | Date of Issue | 2017-11-01 | | Date of Implementation | 2018-05-01 | | Regulation (derived from) | National Standard Announcement 2017 No. 29 | | Issuing agency(ies) | General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, Standardization Administration of the People's Republic of China | GB/T 34987-2017: Weibull analysis---This is a DRAFT version for illustration, not a final translation. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.) will be manually/carefully translated upon your order.
(Weibull analysis)
ICS 03.120.01; 03.120.30
L05
National Standards of People's Republic of China
Weibull Analysis
Weibulanalysis
(IEC 61649.2008, IDT)
Published on.2017-11-01
2018-05-01 Implementation
General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China
China National Standardization Administration released
Directory
Preface III
Introduction IV
1 Scope 1
2 Normative references 1
3 Terms, definitions, abbreviations and symbols 1
3.1 Terms and Definitions 1
3.2 Abbreviations 2
3.3 Symbol 3
4 Application 3
5 Weibull Distribution 4
5.1 Dual-Parameter Weibull Distribution 4
5.2 Three-Parameter Weibull Distribution 5
6 Data 5
6.1 Data Type 5
6.2 First Expiration Time 5
6.3 Material Properties and Weibull Distribution 5
6.4 sample size 5
6.5 Censored Data and Shelved Data 6
7 plotting and goodness of fit 6
7.1 Overview 6
7.2 How to draw Weibull probability map 6
7.3 Risk Function Chart 9
8 Interpretation of Weibull probability plots 10
8.1 bathtub curve 10
8.2 Unexplained Failure Modes That May Be Covered 11
8.3 small sample 12
8.4 Outliers 13
8.5 Interpretation of Nonlinear Scatter Charts 13
9 Calculations and Goodness of Fit 16
9.1 Introduction 16
9.2 Assumptions and Conditions 16
9.3 Limitations and Accuracy 16
9.4 Data Input and Output 16
9.5 Goodness-of-fit test 17
9.6 Maximum Likelihood Estimation Method - Point Estimation of Parameters η and β
9.7 Point Estimation of Average Failure Time 17
9.8 Point Estimation of Decimal Equivalence (10%) 18
Point Estimation of Reliability Function at 9.9 t (t≤T) 18
9.10 Software Program 18
10 Confidence Interval 18
10.1 Estimated Range of β 18
10.2 Estimated Range of η 19
10.3 Mean Rank Regression Beta Binomial Confidence Interval 19
10.4 Fisher Matrix Confidence Interval 19
10.5 B10's Lower Confidence Limit 20
10.6 Confidence Limit of Reliability R 20
11 Comparison of median rank regression method and maximum likelihood estimation method 20
11.1 Graphic Method 20
11.2 Percentage life estimation (B or L quantiles) 20
11.3 Small sample 20
11.4 Shape parameter β 21
11.5 Confidence Interval 21
11.6 Single Failure 21
11.7 Mathematical rigor 21
11.8 Expression of results 21
12 Weibull Bayes Method 21
12.1 Description 21
12.2 Method 21
12.3 Weibull Bayes Method with No Failure Information 22
12.4 Weibull Bayesian Distribution with Failure Information 22
12.5 Weibull Bayes Method Case 22
13 sudden death method 23
14 Other distributions 25
Appendix A (Informative) Case Study 26
Appendix B (Informative Appendix) Example 28
Appendix C (Informative) Median Rank 30
Appendix D (Normative) Statistical Table 37
Appendix E (Informative Appendix) Electronic Data Sheet 39
Appendix F (Informative) Weibull Probability Paper (Example) 46
Appendix G (Informative) Mixture of Multiple Failure Modes 47
Appendix H (Informative) Three-Parameter Weibull Example 49
Appendix I (Informative) Construction of Weibull Probability Paper 51
Appendix J (Informative) Technical Background and References 53
Reference 56
Foreword
This standard was drafted in accordance with the rules given in GB/T 1.1-2009.
This standard uses the translation method identical to the IEC 61649.2008 Weibull Analysis.
The Chinese documents that have a consistent correspondence with the normatively cited international documents in this standard are as follows.
---GB/T 4889-2008 Statistical processing and interpretation of data and estimation and verification of the mean and variance of normal distribution (ISO 2854.
1976, MOD)
---GB/T 21711-2008 Basic electromechanical relays Part 2. Reliability (IEC 61810-2;.2008, IDT)
Compared with IEC 61649.2008, this standard makes the following editorial changes.
---IEC 61649.2008 The interpretation of formula (9) is incorrect. The correction is. "ti is the failure time, F (ti) is the median rank."
This standard was proposed by the Ministry of Industry and Information Technology of the People's Republic of China.
This standard is under the jurisdiction of the National Technical Committee for Reliability and Maintainability of Electrical and Electronic Products (SAC/TC24).
This standard was drafted by the Ministry of Industry and Information Technology, the Fifth Institute of Electronics, Wuhu Saibao Information Industry Technology Research Institute Co., Ltd., Beijing.
University, Institute of Electronic Engineering, China Academy of Engineering Physics, ZTE Corporation, University of Electronic Science and Technology, 60th Institute of General Staff, China
Aviation Industry Institute of Integrated Technology.
The main drafters of this standard are Shen Biao, Hou Weiguo, Li Dongfeng, Gao Jun, Hu Bin, You Rongxian, Chen Guangyu, Tang Junjun, Wu Yueqin and Zhu Junhua.
Introduction
The Weibull distribution is used to establish the data model with increasing failure rate, decreasing or keeping constant. It is suitable for a variety of data, including loss
Effective time, failure cycle, failure mileage, mechanical stress and other continuous random variables. Using the methods provided by this standard, even for censored numbers
It is also possible to model the life distribution.
The appendix section gives a method for using Weibull analysis with spreadsheets to specify how to analyze different failure modes independently.
To identify the weak links, how to use the three-parameter Weibull distribution to obtain the information of the sample position parameters.
Weibull Analysis
1 Scope
This standard provides methods for analyzing Weibull data using continuous variables (failure time, failure range, or mechanical stress, etc.).
This standard applies to valid failure data (such as failure time, mileage, or machine) obtained under random conditions or under test conditions.
Mechanical stress, etc.) Its purpose is to estimate the overall reliability level.
This standard applies to independent and distributed data. Independent and identical distribution needs testing or assumption (see GB/T 5080.1).
This standard adopts numerical method and graph estimation method for data point drawing, goodness-of-fit test, estimating two-parameter or three-parameter Weibull distribution and drawing.
Confidence limit; this standard gives the use of Weibull probability diagram to explain the sample's risk function, failure mode, poor overall sample and first time failure
Information such as time or shortest duration.
2 Normative references
The following documents are indispensable for the application of this document. For dated references, only dated versions apply to this article
Pieces. For undated references, the latest version (including all amendments) applies to this document.
GB/T 2900.13-2008 Electrotechnical terminology credibility and quality of service [IEC 60050(191)..1990, IDT]
GB/T 3358.1-2009 Statistical vocabulary and symbols - Part 1. General statistical terms and terms used in probability (ISO 3534-
1.2006, IDT)
GB/T 5080.1-2012 test conditions and statistical inspection principles (IEC 60300-3-5.2001, IDT)
ISO 2854.1976 Statistical processing and interpretation of estimates and tests for the mean and variance of normal distributions (Statisticalinter-
pretationofdata-Techniquesestimationsandtestsrelatingtomeansandvariances)
IEC 61810-2 Basic electromechanical relays Part 2. Reliability (Electromechanical elementary relays-Part 2.
Reliability)
3 Terms, definitions, abbreviations and symbols
3.1 Terms and Definitions
The following terms and definitions as defined in GB/T 2900.13-2008 and GB/T 3358.1-2009 apply to this document.
3.1.1
Censoring censoring
The test is terminated after the specified test time or the number of failures specified.
Note. If an experiment still has an intact sample after its termination, we call it the "Censored Test". The test time data obtained from the test is called
"Censored data."
3.1.2
Shelved samples suspendeditem
Samples that were terminated before the associated failure occurred.
Note 1. At the time of termination, the sample may not fail, or the sample may have other failures that are different from the failure mode being investigated.
Note 2. "early shelved" refers to the sample that was put on hold before the first correlation failed. "Late late" refers to the sample that was put on hold after the last correlation was invalidated.
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