# Reliability in Automotive and Mechanical Engineering: Determination of Component and System Reliability

Springer Science & Business Media, Apr 30, 2008 - Technology & Engineering - 500 pages

Defects generate a great economic problem for suppliers who are faced with increased duties. Customers expect increased efficiency and dependability of technical product of - also growing - complexity. The authors give an introduction to a theory of dependability for engineers. The book may serve as a reference book as well, enhancing the knowledge of the specialists and giving a lot of theoretical background and practical information, especially on the dependability analysis of whole systems.

The theory, concepts and approaches are well explained by examples and solutions. The topics include: Mathematical basis, Life span distributions, System dependability theory, Failure mode and effects analysis (FMEA), Fault tree analysis, Dependability test planning, Test evaluation, Calculation of repairable systems, Dependability protection programs.

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### Contents

 Introduction 1 Fundamentals of Statistics and Probability Theory 7 21 Fundamentals in Statistics and Probability Theory 9 212 Statistical Values 28 213 Reliability Parameters 30 214 Definition of Probability 33 22 Lifetime Distributions for Reliability Description 35 221 Normal Distribution 36
 662 Regression Analysis 243 663 Maximum Likelihood Method 247 67 Exercises to Assessment of Lifetime Tests 251 Weibull Parameters for Specifically Selected Machine Components 255 71 Shape Parameter b 256 72 Characteristic Lifetime T 259 73 Failure Free Time t0 and Factor ftB 262 Methods for Reliability Test Planning 264

 222 Exponential Distribution 38 223 Weibull Distribution 40 224 Logarithmic Normal Distribution 55 225 Further Distributions 57 23 Calculation of System Reliability with the Boolean Theory 70 24 Exercises to Lifetime Distributions 76 25 Exercises to System Calculations 79 Reliability Analysis of a Transmission 84 31 System Analysis 86 312 Determination of System Elements 88 314 Determination of the Reliability Structure 89 32 Determination of the Reliability of System Elements 90 33 Calculation of the System Reliability 93 FMEA Failure Mode and Effects Analysis 98 41 Basic Principles and General Fundamentals of FMEA Methodology 100 42 FMEA according to VDA 86 Form FMEA 103 43 Example of a Design FMEA according to VDA 86 109 44 FMEA according to VDA 42 113 System Elements and System Structure 120 Functions and Function Structure 123 Failure Analysis 126 Risk Assessment 133 Optimization 140 45 Example of a System FMEA Product according to VDA 42 144 Functions and Function Structure of the Adapting Transmission 148 Failure Functions and Failure Function Structure of the Adapting Transmission 149 Optimization of the Adapting Transmission 151 46 Example of a System FMEA Process according to VDA 42 152 System Elements and System Structure for the Manufacturing Process of the Output Shaft 153 Functions and Function Structure for the Manufacturing Process of the Output Shaft 154 Failure Functions and Failure Function Structure for the Manufacturing Process of the Output Shaft 156 Fault Tree Analysis FTA 160 51 General Procedure of the FTA 161 512 Symbolism 162 52 Qualitative Fault Tree Analysis 163 522 Basic Procedure 164 523 Comparison between FMEA and FTA 166 53 Quantitative Fault Tree Analysis 168 533 Application to Systems 173 54 Reliability Graph 179 55 Examples 180 552 Fault Tree Analysis of a Radial Seal Ring 183 56 Exercise Problems to the Fault Tree Analysis 187 Assessment of Lifetime Tests and Failure Statistics 191 61 Planning Lifetime Tests 192 62 Order Statistics and their Distributions 194 63 Graphical Analysis of Failure Times 203 631 Determination of the Weibull Lines two parametric Weibull Distribution 204 632 Consideration of Confidence Intervals 207 633 Consideration of the Failure Free Time t0 three parametric Weibull Distribution 211 64 Assessment of Incomplete Censored Data 215 641 Censoring Type I and Type II 217 642 Multiple Censored Data 219 643 Sudden Death Test 220 65 Confidence Intervals for Low Summations 237 66 Analytical Methods for the Assessment of Reliability Tests 239 661 Method of Moments 240