Robust Engineering Design-By-Reliability with Emphasis on Mechanical Components and Structural Reliability, Volume 1

Problems and reference sections are included in each chapter.

Preface

Chapter 1–Introduction

• The Need for Engineering Design by Reliability
• Differences between Mechanical and Electronic Reliability Prediction Methods
• Available Mechanical Reliability Prediction Methods
• Comparison of the Conventional Design Methodology and the “Engineering Design by Reliability” Methodology
• The Safety Factor and Safety Margin Concepts in Design versus the Reliability Concept

Chapter 2–Fifteen-Step Reliability Prediction and the “Robust Engineering Design by Reliability” Methodology

• Introduction
• Definition of Reliability
• Fifteen-Step Methodology

Chapter 3–The Central Limit Theorem, And The Moments And The Monte Carlo Simulation Methods Of Synthesizing Distributions

• The Sum of Many Independent and Indentically Distributed (IID) Random Variables
• The Central Limit Theorem
• The Method of Moments
• Interpolation Procedure for z’a Tables
• The Monte Carlo Simulation Method
• Comments on Methods for Synthe-Sizing Distributions

Chapter 4–Methods of Determining the Failure Governing Stress Distribution

• Determination of the Load Characteristics and The Associated Stress Distribution
• Procedure for Determining the Failure Governing Stress Distribution
• Methods of Synthesizing the Failure Governing Stress Distribution
• Binary Synthesis of Distributions
• Generation of System Moments
• Monte Carlo Simulation

Chapter 5–Methods of Determining the Failure Governing Strength Distribution

• Distribution of the Material Properties and the Associated Strength Distribution
• Data Generation and Determination of the Distributions of the Material Strength Properties
• Procedure for Determining the Failure Governing Strength Distribution
• Binary Synthesis of Normal Distributions Method
• Generating System Moments Method
• Monte Carlo Simulation Method

Chapter 6–Illustrated Methods of Calculating the Reliability of Components

• Introduction
• The General Reliability Expression to Be Used When f(S) and f(s) Are Both Neither Normal Nor Lognormally Distributed
• Numerical Integration
• Mellin Transforms
• Monte Carlo Simulation
• Normal Failure Governing Stress and Strength Distributions
• Lognormal Failure Governing Stress and Strength Distributions
• Reliability of Components Given the Failure Governing Stress Distribution and a Discrete, Fixed Failure Governing Strength
• Reliability of Components Given a Discrete Failure Governing Stress and the Failure Governing Strength Distribution
• Reliability of Components Given Discrete Failure Governing Stress and Strength
• Reliability When f(s) and f(S) Are Both Normal, and When s=S
• Reliability When Failure Governing Stress and Strength Are Both Distributed
• Reliability of Components Subjected To Fatigue Given a Fixed Alternating Stress Level, the Corresponding Cycles-To-Failure Distribution and a Specific Life Requirement
• Reliability When Operating an Additional Number of Cycles Having Already Completed a Specific Number of Cycles of Operation at a Specific Alternating Stress Level and the Associated F(N)
• Reliability Given the Distribution of the Duty Cycles of Operation of Identical Components and Their Cycles-To-Failure Distribution under Fatigue Loading
• Reliability for a Specific Life Given the Failure Governing Strength Distribution for That Life and a Constant Maximum Alternating Stress under Fatigue Loading
• Reliability for a Specific Life Given the Failure Governing Strength Distribution for That Life and the Failure Governing Maximum Alternating Stress Distribution for That Life under Fatigue Loading
• Reliability for Completing An Additional Number of Cycles, Having Already Completed A Specific Number of Cycles of Operation Successfully, Given, f(Sn1), f(sn1), f(Sn1+n) and f(sn1+n) under Fatigue Loading
• Reliability with Combined Alternating and Mean Stress under Fatigue Loading

Chapter 7–Determination of the Designed-In Reliability Confidence Limit at A Specified Confidence Level

• Introduction
• Determination of Mechanical Reliability
• Determination of the Lower One-Sided Confidence Limit on the Reliability
• Calculating the Lower One-Sided Confidence Limit on the Reliability
• Effect of Confidence Level on the Lower, One-Sided Confidence Limit on the Reliability
• Effect of Sample Size on the Lower, One-Sided Confidence Limit on the Reliability
• How to Design To a Reliability Goal at a Specified Confidence Level
• Conclusions and Recommendations

Chapter 8–Unreliability and Reliability Determination by the Stress/Strength Distributions’ Interference Approach

• Introduction
• The Failure Probability and Failure Function
• Failure Function Determination
• The Survival Function
• Determination of Reliability or Unreliability by the Difference-Distribution Method
• Conclusions

Chapter 9–A Unified Look At Design Safety Factors, Safety Margins And Measures Of Reliability

• Introduction
• Failure Governing Stress and Strength, and Their Distributions
• Safety Factors
• Safety Margins
• Measures of Reliability
• Conclusions

Chapter 10–Comparative Accuracy of Evaluating Reliability Using Simpson’s Rule, the Trapezoidal Rule and the Gauss-Legendre Method

• Introduction
• Simpson’s Rule, Trapezoidal Rule, and Gauss-Legendre Methods
• Methodology for Evaluating Reliability
• Comparison of the Accuracy
• Conclusions

Chapter 11–Exact and Easy To Obtain Solutions for the Prediction of the Reliability of Mechanical Components and Structural Members

• Introduction
• Lognormal Failure Governing Stress and Strength Distributions
• Gamma Failure Governing Stress and Strength Distributions
• Exponential Failure Governing Stress and Normal Failure Governing Strength Distributions
• Exponential Failure Governing Stress and Truncated Normal Failure Governing Strength Distributions
• Normal Failure Governing Stress and Exponential Failure Governing Strength Distributions
• Truncated Normal Failure Governing Stress and Exponential Failure Governing Strength Distributions
• Exponential Failure Governing Stress and Strength Distributions
• Uniform Failure Governing Stress and Gamma Failure Governing Strength Distributions
• Gamma Failure Governing Stress and Uniform Failure Governing Strength Distributions
• Uniform Failure Governing Stress and Normal Failure Governing Strength Distributions
• Normal Failure Governing Stress and Uniform Failure Governing
• Uniform Failure Governing Stress and Weibull Failure Governing Strength Distributions
• Weibull Failure Governing Stress and Uniform Failure Governing Strength Distributions
• Uniform Failure Governing Stress and Extreme Value of the Minima Failure Governing Strength Distributions
• Extreme Value of the Maxima Failure Governing Stress and Uniform Failure Governing Strength Distributions

Chapter 12–Numerical Solutions for the Prediction of the Reliability of Mechanical Components and Structural Members When Closed Form Solutions Are Not Available

• Introduction
• Weibull Failure Governing Stress and Weibull Failure Governing Strength Distributions
• Normal Failure Governing Stress and Weibull Failure Governing Strength Distributions
• Weibull Failure Governing Stress and Normal Failure Governing Strength Distributions
• Lognormal Failure Governing Stress and Weibull Failure Governing Strength Distributions
• Weibull Failure Governing Stress and Lognormal Failure Governing Strength Distributions
• Extreme Value of the Maxima Failure Governing Stress and Extreme Value of the Minima Failure Governing Strength Distributions

Chapter 13–Monte Carlo Simulation Method for Reliability Determination

• Reliability Prediction Using Monte Carlo Simulation
• Error Bounds and Number of Monte Carlo Trials
• Variance Reduction Methods

Chapter 14–Failure Modes, Effects, and Criticality Analysis

• Introduction
• Major Steps in a FAMECA
• Method 1
• Method 2

Chapter 15–Additional Applications of These Methodologies

Chapter 16–Application Guidance for These Methodologies

• Factors and Resources to Consider In Engineering Design by Reliability Analysis

Index