Preface |
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xv | |
1 Reliability Engineering in the Twenty-First Century |
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1 | (18) |
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1 | (1) |
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2 | (4) |
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1.2.1 The Ability to Perform as Intended |
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4 | (1) |
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1.2.2 For a Specified Time |
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4 | (1) |
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1.2.3 Life-Cycle Conditions |
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5 | (1) |
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1.2.4 Reliability as a Relative Measure |
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5 | (1) |
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1.3 Quality, Customer Satisfaction, and System Effectiveness |
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6 | (1) |
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1.4 Performance, Quality, and Reliability |
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7 | (1) |
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1.5 Reliability and the System Life Cycle |
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8 | (4) |
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1.6 Consequences of Failure |
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12 | (4) |
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12 | (1) |
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1.6.2 Breach of Public Trust |
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13 | (2) |
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15 | (1) |
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15 | (1) |
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1.7 Suppliers and Customers |
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16 | (1) |
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16 | (1) |
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17 | (2) |
2 Reliability Concepts |
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19 | (26) |
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2.1 Basic Reliability Concepts |
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19 | (7) |
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2.1.1 Concept of Probability Density Function |
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23 | (3) |
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26 | (7) |
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2.2.1 Motivation and Development of Hazard Rate |
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27 | (1) |
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2.2.2 Some Properties of the Hazard Function |
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28 | (3) |
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2.2.3 Conditional Reliability |
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31 | (2) |
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2.3 Percentiles Product Life |
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33 | (2) |
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2.4 Moments of Time to Failure |
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35 | (4) |
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2.4.1 Moments about Origin and about the Mean |
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35 | (1) |
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2.4.2 Expected Life or Mean Time to Failure |
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36 | (1) |
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2.4.3 Variance or the Second Moment about the Mean |
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36 | (1) |
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2.4.4 Coefficient of Skewness |
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37 | (1) |
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2.4.5 Coefficient of Kurtosis |
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37 | (2) |
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39 | (1) |
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40 | (5) |
3 Probability and Life Distributions for Reliability Analysis |
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45 | (44) |
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3.1 Discrete Distributions |
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45 | (10) |
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3.1.1 Binomial Distribution |
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46 | (4) |
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3.1.2 Poisson Distribution |
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50 | (1) |
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3.1.3 Other Discrete Distributions |
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50 | (5) |
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3.2 Continuous Distributions Si |
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3.2.1 Weibull Distribution |
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55 | (6) |
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3.2.2 Exponential Distribution |
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61 | (3) |
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3.2.3 Estimation of Reliability for Exponential Distribution |
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64 | (3) |
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3.2.4 The Normal (Gaussian) Distribution |
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67 | (6) |
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3.2.5 The Lognormal Distribution |
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73 | (2) |
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75 | (2) |
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77 | (6) |
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83 | (1) |
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84 | (5) |
4 Design for Six Sigma |
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89 | (22) |
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89 | (1) |
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90 | (1) |
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4.3 How Is Six Sigma Implemented? |
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91 | (7) |
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4.3.1 Steps in the Six Sigma Process |
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92 | (5) |
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4.3.2 Summary of the Six Sigma Steps |
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97 | (1) |
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4.4 Optimization Problems in the Six Sigma Process |
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98 | (5) |
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4.4.1 System Transfer Function |
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99 | (1) |
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4.4.2 Variance Transmission Equation |
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100 | (1) |
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4.4.3 Economic Optimization and Quality Improvement |
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101 | (1) |
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4.4.4 Tolerance Design Problem |
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102 | (1) |
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103 | (5) |
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105 | (1) |
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106 | (1) |
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106 | (1) |
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106 | (2) |
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108 | (1) |
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108 | (3) |
5 Product Development |
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111 | (30) |
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5.1 Product Requirements and Constraints |
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112 | (1) |
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5.2 Product Life Cycle Conditions |
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113 | (1) |
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5.3 Reliability Capability |
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114 | (1) |
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5.4 Parts and Materials Selection |
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114 | (1) |
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5.5 Human Factors and Reliability |
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115 | (2) |
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5.6 Deductive versus Inductive Methods |
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117 | (1) |
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5.7 Failure Modes, Effects, and Criticality Analysis |
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117 | (2) |
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119 | (9) |
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5.8.1 Role of FTA in Decision-Making |
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121 | (1) |
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5.8.2 Steps of Fault Tree Analysis |
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122 | (1) |
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5.8.3 Basic Paradigms for the Construction of Fault Trees |
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122 | (1) |
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5.8.4 Definition of the Top Event |
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122 | (1) |
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5.8.5 Faults versus Failures |
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122 | (5) |
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127 | (1) |
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128 | (3) |
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128 | (1) |
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5.9.2 Model Analysis of Failure Mechanisms |
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129 | (1) |
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129 | (1) |
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5.9.4 Protective Architectures |
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130 | (1) |
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131 | (1) |
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131 | (1) |
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131 | (1) |
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132 | (2) |
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5.12 Manufacture and Assembly |
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134 | (3) |
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134 | (2) |
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5.12.2 Process Verification Testing |
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136 | (1) |
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5.13 Analysis, Product Failure, and Root Causes |
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137 | (1) |
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138 | (1) |
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138 | (3) |
6 Product Requirements and Constraints |
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141 | (8) |
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6.1 Defining Requirements |
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141 | (1) |
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6.2 Responsibilities of the Supply Chain |
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142 | (2) |
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6.2.1 Multiple-Customer Products |
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142 | (1) |
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6.2.2 Single-Customer Products |
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143 | (1) |
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144 | (1) |
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6.3 The Requirements Document |
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144 | (1) |
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144 | (2) |
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6.5 Requirements Tracking |
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146 | (1) |
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147 | (1) |
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147 | (2) |
7 Life-Cycle Conditions |
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149 | (20) |
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7.1 Defining the Life-Cycle Profile |
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149 | (1) |
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150 | (2) |
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7.2.1 Manufacturing and Assembly |
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151 | (1) |
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7.2.2 Testing and Screening |
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151 | (1) |
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151 | (1) |
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151 | (1) |
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151 | (1) |
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152 | (1) |
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152 | (1) |
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7.3 Loads and Their Effects |
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152 | (8) |
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152 | (3) |
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155 | (1) |
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7.3.3 Vibration and Shock |
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156 | (1) |
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156 | (1) |
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7.3.5 Electromagnetic Radiation |
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157 | (1) |
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157 | (1) |
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158 | (1) |
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159 | (1) |
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159 | (1) |
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159 | (1) |
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160 | (1) |
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7.4 Considerations and Recommendations for LCP Development |
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160 | (5) |
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7.4.1 Extreme Specifications-Based Design (Global and Local Environments) |
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160 | (1) |
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7.4.2 Standards-Based Profiles |
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161 | (1) |
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7.4.3 Combined Load Conditions |
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161 | (4) |
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7.4.4 Change in Magnitude and Rate of Change of Magnitude |
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165 | (1) |
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7.5 Methods for Estimating Life-Cycle Loads |
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165 | (1) |
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7.5.1 Market Studies and Standards Based Profiles as Sources of Data |
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165 | (1) |
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7.5.2 In Situ Monitoring of Load Conditions |
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166 | (1) |
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7.5.3 Field Trial Records, Service Records, and Failure Records |
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166 | (1) |
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7.5.4 Data on Load Histories of Similar Parts, Assemblies, or Products |
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166 | (1) |
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166 | (1) |
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167 | (2) |
8 Reliability Capability |
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169 | (8) |
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8.1 Capability Maturity Models |
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169 | (1) |
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8.2 Key Reliability Practices |
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170 | (5) |
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8.2.1 Reliability Requirements and Planning |
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170 | (1) |
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8.2.2 Training and Development |
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171 | (1) |
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8.2.3 Reliability Analysis |
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172 | (1) |
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8.2.4 Reliability Testing |
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172 | (1) |
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8.2.5 Supply-Chain Management |
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173 | (1) |
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8.2.6 Failure Data Tracking and Analysis |
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173 | (1) |
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8.2.7 Verification and Validation |
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174 | (1) |
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8.2.8 Reliability Improvement |
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174 | (1) |
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175 | (1) |
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175 | (2) |
9 Parts Selection and Management |
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177 | (16) |
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9.1 Part Assessment Process |
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177 | (8) |
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9.1.1 Performance Assessment |
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178 | (1) |
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179 | (1) |
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9.1.3 Process Capability Index |
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179 | (3) |
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9.1.4 Average Outgoing Quality |
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182 | (1) |
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9.1.5 Reliability Assessment |
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182 | (3) |
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9.1.6 Assembly Assessment |
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185 | (1) |
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185 | (3) |
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9.2.1 Supply Chain Management |
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185 | (1) |
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9.2.2 Part Change Management |
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186 | (1) |
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9.2.3 Industry Change Control Policies |
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187 | (1) |
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188 | (2) |
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190 | (1) |
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191 | (2) |
10 Failure Modes, Mechanisms, and Effects Analysis |
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193 | (14) |
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10.1 Development of FMMEA |
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193 | (2) |
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10.2 Failure Modes, Mechanisms, and Effects Analysis |
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195 | (6) |
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10.2.1 System Definition, Elements, and Functions |
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195 | (1) |
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10.2.2 Potential Failure Modes |
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196 | (1) |
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10.2.3 Potential Failure Causes |
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197 | (1) |
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10.2.4 Potential Failure Mechanisms |
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197 | (1) |
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197 | (1) |
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10.2.6 Life-Cycle Profile |
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198 | (1) |
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10.2.7 Failure Mechanism Prioritization |
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198 | (2) |
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200 | (1) |
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201 | (4) |
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205 | (1) |
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206 | (1) |
11 Probabilistic Design for Reliability and the Factor of Safety |
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207 | (16) |
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11.1 Design for Reliability |
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207 | (1) |
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11.2 Design of a Tension Element |
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208 | (1) |
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11.3 Reliability Models for Probabilistic Design |
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209 | (2) |
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11.4 Example of Probabilistic Design and Design for a Reliability Target |
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211 | (1) |
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11.5 Relationship between Reliability, Factor of Safety, and Variability |
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212 | (3) |
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11.6 Functions of Random Variables |
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215 | (4) |
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11.7 Steps for Probabilistic Design |
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219 | (1) |
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219 | (1) |
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220 | (3) |
12 Derating and Uprating |
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223 | (24) |
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223 | (2) |
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12.1.1 Absolute Maximum Ratings |
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224 | (1) |
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12.1.2 Recommended Operating Conditions |
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224 | (1) |
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12.1.3 Factors Used to Determine Ratings |
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225 | (1) |
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225 | (14) |
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12.2.1 How Is Derating Practiced? |
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225 | (6) |
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12.2.2 Limitations of the Derating Methodology |
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231 | (7) |
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12.2.3 How to Determine These Limits |
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238 | (1) |
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239 | (6) |
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12.3.1 Parts Selection and Management Process |
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241 | (1) |
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12.3.2 Assessment for Uprateability |
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241 | (1) |
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12.3.3 Methods of Uprating |
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242 | (3) |
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12.3.4 Continued Assurance |
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245 | (1) |
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245 | (1) |
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246 | (1) |
13 Reliability Estimation Techniques |
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247 | (48) |
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13.1 Tests during the Product Life Cycle |
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247 | (2) |
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13.1.1 Concept Design and Prototype |
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247 | (1) |
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13.1.2 Performance Validation to Design Specification |
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248 | (1) |
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13.1.3 Design Maturity Validation |
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248 | (1) |
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13.1.4 Design and Manufacturing Process Validation |
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248 | (1) |
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13.1.5 Preproduction Low Volume Manufacturing |
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248 | (1) |
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13.1.6 High Volume Production |
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249 | (1) |
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13.1.7 Feedback from Field Data |
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249 | (1) |
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13.2 Reliability Estimation |
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249 | (1) |
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13.3 Product Qualification and Testing |
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250 | (13) |
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13.3.1 Input to PoF Qualification Methodology |
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250 | (5) |
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13.3.2 Accelerated Stress Test Planning and Development |
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255 | (2) |
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13.3.3 Specimen Characterization |
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257 | (2) |
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13.3.4 Accelerated Life Tests |
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259 | (1) |
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260 | (1) |
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13.3.6 Virtual Qualification |
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261 | (1) |
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262 | (1) |
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13.4 Case Study: System-in-Package Drop Test Qualification |
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263 | (13) |
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13.4.1 Step 1: Accelerated Test Planning and Development |
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263 | (2) |
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13.4.2 Step 2: Specimen Characterization |
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265 | (1) |
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13.4.3 Step 3: Accelerated Life Testing |
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266 | (4) |
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13.4.4 Step 4: Virtual Testing |
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270 | (1) |
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271 | (1) |
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13.4.6 Strain Distributions Due to Modal Contributions |
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272 | (1) |
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13.4.7 Acceleration Curves |
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273 | (1) |
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273 | (1) |
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13.4.9 Step 5: Virtual Qualification |
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274 | (1) |
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13.4.10 PoF Acceleration Curves |
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275 | (1) |
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13.4.11 Summary of the Methodology for Qualification |
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276 | (1) |
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13.5 Basic Statistical Concepts |
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276 | (3) |
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13.5.1 Confidence Interval |
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277 | (1) |
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13.5.2 Interpretation of the Confidence Level |
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277 | (2) |
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13.5.3 Relationship between Confidence Interval and Sample Size |
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279 | (1) |
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13.6 Confidence Interval for Normal Distribution |
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279 | (3) |
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13.6.1 Unknown Mean with a Known Variance for Normal Distribution |
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279 | (1) |
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13.6.2 Unknown Mean with an Unknown Variance for Normal Distribution |
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280 | (1) |
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13.6.3 Differences in Two Population Means with Variances Known |
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281 | (1) |
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13.7 Confidence Intervals for Proportions |
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282 | (1) |
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13.8 Reliability Estimation and Confidence Limits for Success-Failure Testing |
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283 | (4) |
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286 | (1) |
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13.9 Reliability Estimation and Confidence Limits for Exponential Distribution |
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287 | (5) |
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292 | (1) |
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292 | (3) |
14 Process Control and Process Capability |
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295 | (36) |
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14.1 Process Control System |
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295 | (4) |
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14.1.1 Control Charts: Recognizing Sources of Variation |
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297 | (1) |
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14.1.2 Sources of Variation |
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297 | (1) |
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14.1.3 Use of Control Charts for Problem Identification |
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297 | (2) |
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299 | (17) |
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14.2.1 Control Charts for Variables |
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306 | (1) |
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14.2.2 X-Bar and R Charts |
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306 | (2) |
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14.2.3 Moving Range Chart Example |
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308 | (3) |
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14.2.4 X-Bar and S Charts |
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311 | (1) |
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14.2.5 Control Charts for Attributes |
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312 | (1) |
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14.2.6 p Chart and np Chart |
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312 | (1) |
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313 | (1) |
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14.2.8 c Chart and u Chart |
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314 | (1) |
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315 | (1) |
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14.3 Benefits of Control Charts |
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316 | (1) |
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14.4 Average Outgoing Quality |
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317 | (6) |
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14.4.1 Process Capability Studies |
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318 | (5) |
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14.5 Advanced Control Charts |
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323 | (2) |
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14.5.1 Cumulative Sum Control Charts |
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323 | (1) |
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14.5.2 Exponentially Weighted Moving Average Control Charts |
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324 | (1) |
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14.5.3 Other Advanced Control Charts |
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325 | (1) |
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325 | (1) |
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326 | (5) |
15 Product Screening and Burn-In Strategies |
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331 | (8) |
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15.1 Burn-In Data Observations |
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332 | (1) |
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15.2 Discussion of Burn-In Data |
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333 | (1) |
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15.3 Higher Field Reliability without Screening |
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334 | (1) |
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335 | (1) |
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336 | (1) |
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337 | (2) |
16 Analyzing Product Failures and Root Causes |
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339 | (36) |
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16.1 Root-Cause Analysis Processes |
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341 | (10) |
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341 | (2) |
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16.1.2 Collecting Data for Analysis and Assessing Immediate Causes |
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343 | (1) |
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16.1.3 Root-Cause Hypothesization |
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344 | (4) |
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16.1.4 Analysis and Interpretation of Evidence |
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348 | (1) |
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16.1.5 Root-Cause Identification and Corrective Actions |
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348 | (2) |
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16.1.6 Assessment of Corrective Actions |
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350 | (1) |
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351 | (22) |
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16.2.1 An Approach to Assess NFF |
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353 | (2) |
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16.2.2 Common Mode Failure |
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355 | (1) |
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16.2.3 Concept of Common Mode Failure |
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356 | (4) |
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16.2.4 Modeling and Analysis for Dependencies for Reliability Analysis |
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360 | (2) |
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16.2.5 Common Mode Failure Root Causes |
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362 | (2) |
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16.2.6 Common Mode Failure Analysis |
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364 | (2) |
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16.2.7 Common Mode Failure Occurrence and Impact Reduction |
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366 | (7) |
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373 | (1) |
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374 | (1) |
17 System Reliability Modeling |
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375 | (34) |
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17.1 Reliability Block Diagram |
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375 | (1) |
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376 | (5) |
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17.3 Products with Redundancy |
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381 | (12) |
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381 | (4) |
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385 | (2) |
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17.3.3 Standby Systems with Imperfect Switching |
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387 | (3) |
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17.3.4 Shared Load Parallel Models |
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390 | (1) |
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391 | (2) |
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17.3.6 Limits of Redundancy |
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393 | (1) |
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17.4 Complex System Reliability |
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393 | (8) |
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17.4.1 Complete Enumeration Method |
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393 | (2) |
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17.4.2 Conditional Probability Method |
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395 | (1) |
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17.4.3 Concept of Coherent Structures |
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396 | (5) |
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401 | (1) |
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402 | (7) |
18 Health Monitoring and Prognostics |
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409 | (24) |
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18.1 Conceptual Model for Prognostics |
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410 | (2) |
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18.2 Reliability and Prognostics |
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412 | (2) |
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414 | (3) |
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18.4 PHM Concepts and Methods |
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417 | (3) |
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18.4.1 Fuses and Canaries |
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418 | (2) |
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18.5 Monitoring and Reasoning of Failure Precursors |
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420 | (9) |
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18.5.1 Monitoring Environmental and Usage Profiles for Damage Modeling |
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424 | (5) |
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18.6 Implementation of PHM in a System of Systems |
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429 | (2) |
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431 | (1) |
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431 | (2) |
19 Warranty Analysis |
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433 | (18) |
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434 | (1) |
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19.2 Warranty Return Information |
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435 | (1) |
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436 | (1) |
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19.4 Warranty and Reliability |
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|
437 | (2) |
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19.5 Warranty Cost Analysis |
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439 | (9) |
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19.5.1 Elements of Warranty Cost Models |
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440 | (1) |
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19.5.2 Failure Distributions |
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440 | (1) |
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19.5.3 Cost Modeling Calculation |
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440 | (1) |
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19.5.4 Modeling Assumptions and Notation |
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441 | (1) |
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19.5.5 Cost Models Examples |
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442 | (2) |
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444 | (2) |
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446 | (2) |
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19.6 Warranty and Reliability Management |
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448 | (1) |
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449 | (1) |
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449 | (2) |
Appendix A: Some Useful Integrals |
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451 | (2) |
Appendix B: Table for Gamma Function |
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453 | (2) |
Appendix C: Table for Cumulative Standard Normal Distribution |
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455 | (2) |
Appendix D: Values for the Percentage Points tαν of the t-Distribution |
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457 | (4) |
Appendix E: Percentage Points χ2αν of the Chi-Square Distribution |
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461 | (6) |
Appendix F: Percentage Points for the F-Distribution |
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467 | (6) |
Bibliography |
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473 | (14) |
Index |
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487 | |