목차 일부
[영문] CONTENTS
Chapter 1. Introduction = 1
1.1 Definition = 2
1.2 Importance of Reliability = 2
1.3 Pattern of Failures = 4
1.3.1 Component Failures = 4
1.3.2 Mechanical and Structural Failures ...
목차 전체
[영문] CONTENTS
Chapter 1. Introduction = 1
1.1 Definition = 2
1.2 Importance of Reliability = 2
1.3 Pattern of Failures = 4
1.3.1 Component Failures = 4
1.3.2 Mechanical and Structural Failures = 8
1.4 Factor of Safety and Reliability = 10
1.5 Reliability Management = 13
1.6 History of Reliability Engineering = 15
1.7 Reliability Lltersture = 17
References and Bibliography = 18
Review Questions = 22
Problems = 23
Chapter 2. Basic Probability Theory = 25
2.1 Introduction = 26
2.2 Mutually Exclusive Events = 26
2.3 Set Theory = 27
2.4 Sample Points and Sample Space = 28
2.5 Definition of Probability = 29
2.5.1 Relative Frequency (Statistical) Definition = 29
2.5.2 Axiomatic Definition = 30
2.6 Laws of Probability = 30
2.6.1 Union and Intersection of Two Events = 30
2.6.2 Mutually Exclusive Events = 31
2.6.3 Complementary Events = 32
2.6.4 Conditional Probability = 33
2.6.5 Statistically Independent Events = 36
2.6.6 General Laws = 36
2.7 Total Probability Theorem = 39
2.8 Bayes' Rule = 40
References and Bibliography = 41
Review Questions = 42
Problems = 42
Chapter 3. Random Variables and Probability Distributions = 47
3.1 Introduction = 48
3.2 Probability Mass Function for Discrete Random Variables = 48
3.3 Cumulative Distribution Function for Discrete Random Variables = 48
3.4 Probability Density Function for Continuous Random Variables = 50
3.5 Mean, Mode, and Median = 52
3.5.1 Mean = 53
3.5.2 Mode = 54
3.5.3 Median = 54
3.6 Standard Deviation and Skewness Coefficient = 56
3.6.1 Standard Deviation = 56
3.6.2 Skewness Coefficient = 57
3.7 Moments of Random Variables = 59
3.8 Importance of Moment Functions-Chebyshev Inequality = 60
3.9 Jointly Distributed Random Variables = 62
3.9.1 Joint Density and Distribution Functions = 62
3.9.2 Obtaining the Marginal or Individual Density Function from the Joint Density Function = 63
3.10 Moments of Jointly Distributed Random Variables = 64
3.11 Probability Distributions = 67
3.11.1 Binomial Distribution = 67
3.11.2 Normal Distribution = 70
3.11.3 Lognormal Distribution = 77
3.12 Central Limit Theorem = 78
3.13 Normal Approximation to Binomial Distribution = 79
References = 79
Review Questions = 79
Problems = 81
Chapter 4. Extremal Distributions = 93
4.1 Introduction = 94
4.2 Extreme Value Distributions in Terms of Parent Distribution = 95
4.3 Asymptotic Distributions = 99
4.4 Type-Ⅰ Asymptotic Distributions = 99
4.4.1 Maximum Value = 99
4.4.2 Smallest Value = 100
4.5 Type-Ⅱ Asymptotic Distributions = 101
4.5.1 Maximum Value = 101
4.5.2 Smallest Value = 102
4.6 Type-Ⅲ Asymptotic Distributions = 102
4.6.1 Maximum Value = 102
4.6.2 Smallest Value = 103
4.7 Return Period = 103
4.8 Characteristic Value = 104
4.9 Fitting Extremal Distributions to Experimental Data = 105
4.9.1 Least Squares Fit = 107
References and Bibliography = 109
Review Questions = 109
Problems = 110
Chapter 5. Functions of Random Variables = 115
5.1 Introduction = 116
5.2 Functions of a Single Random Variable = 116
5.3 Funtions of Two Random Variables = 121
5.3.1 Sum of Two Random Variables = 121
5.3.2 Product of Two Random Variables = 125
5.3.3 Quotient of Two Random Variables = 126
5.4 Functions of Several Random Variabies = 127
5.5 Moments of a Function of Several Random Variables = 128
5.5.1 Mean and Variance of a Linear Function = 128
5.5.2 Mean and Variance of Sum of Two Random Variables = 129
5.5.3 Mean and Variance of Product of Two Random Variables = 130
5.5.4 Mean and Variance of Quotient of Two Random Variables = 130
5.5.5 Mean and Variance of a General Nonlinear Function of Several Random Variables = 131
5.6 Moment Generating Function = 134
5.6.1 Moments of Normally Distributed Variables = 136
5.7 Functions of Several Random Variables = 137
References and Bibliography = 139
Review Questions = 139
Problems = 140
Chapter 6. Time Dependent Reliability of Components and Systems = 149
6.1 Introduction = 150
6.2 Failure-Rate Time Curve = 150
6.3 Reliability and Hazard Functions = 151
6.4 Modeling of Failure Rates = 152
6.5 Estimation of Failure Rate from Empirical Data = 154
6.6 Mean Time Before Failure (MTSF) = 154
6.7 Series Systems = 159
6.7.1 Failure Rate of the System = 161
6.7.2 MTBF of the System = 162
6.8 Parallel Systems = 163
6.8.1 Failure Rate of the System = 164
6.8.2 MTBF of the System = 165
6.9 (k, n) Systems = 165
6.9.1 MTBF of the System = 166
6.10 Mixed Series and Parallel Systems = 166
6.11 Complex Systems = 168
6.11.1 Enumeration Method = 169
6.11.2 Conditional Probability Method = 170
6.11.3 Cut-Set Method = 171
6.12 Reliability Enhancement = 174
6.12.1 Series System = 174
6.12.2 Parallel System = 176
6.13 Reliability Allocation-Agree Method = 178
References and Bibliography = 181
Review Questions = 181
Problems = 182
Chapter 7. Modeling of Geometry, Material Strength, and Loads = 189
7.1 Introduction = 190
7.2 Modeling of Geometry = 190
7.2.1 Tolerances on Finished Metal Products = 191
7.2.2 Assembly of Components = 194
7.3 Modeling of Material Strength = 199
7.3.1 Statistics of Elastic Properties = 199
7.3.2 Statistical Models for Material Strength = 200
7.3.3 Model for Brittle Materials = 200
7.3.4 Model for Plastic Materials = 205
7.3.5 Model for Fiber Bundles = 206
7.4 Fatigue Strength = 208
7.4.1 Constant Amplitude Fatigue Strength = 209
7.4.2 Variable Amplitude Fatigue Strength = 211
7.5 Modeling of Loads = 214
7.5.1 Introduction = 214
7.5.2 Dead Loads = 214
7.5.3 Live Loads = 215
7.5.4 Wind Loads = 216
7.5.5 Earthquake Loads = 220
References and Bibliography = 226
Review Questions = 229
Problems = 230
Chapter 8. Strength Based Reliability and Interference Theory = 235
8.1 Introduction = 236
8.2 General Expression for Reliability = 236
8.2.1 Alternate Expression for Reliability = 238
8.3 Expression ior Probability of Failure = 239
3.4 Reliability when S and L Follow Normal Distribution = 240
8.4.1 Approximate Expressions = 242
8.5 Reliability when S and L Follow Lognormal Distribution = 244
8.5.1 Mean and Standard Deviation of InXin Terms of Mean and Standard Deviation of X = 245
8.6 Reliability when S and L Follow Exponential Distribution = 248
8.7 Reliability when S and L Follow Extreme Value Distributions = 250
8.7.1 When S and L Follow Type-III Extremal Distributions = 251
8.8 Reliability in Terms of Experimentally Determined Distributions of S and L = 252
8.9 Factor of Safety Corresponding to a Given Reliability = 254
References and Bibliography = 261
Review Questions = 261
Problems = 262
Chapter 9. Design of Mechanical Components and Systems = 275
9.1 Introduction = 276
9.2 Design of Mechanical Components = 276
9.3 Fatigue Design = 281
9.3.1 Deterministic Design Procedure = 281
9.3.2 Probabilistic Design Procedure = 284
9.4 Design of Mechanical Systems = 288
9.4.1 Reliability-Based Design of Gear Trains = 288
9.5 Reliability Analysis of Mechanical Systems = 297
9.5.1 Cam-follower Systems = 297
9.5.2 Four-Bar Mechanisms = 302
References and Bibliography = 308
Review Questions = 309
Problems = 310
Chapter 10. Structural Reliability: Weakest Link and Fail-Safe Systems = 315
10.1 Introduction = 316
10.2 Fundamental One Member-One Load Case = 317
10.2.1 Probability of Failure = 317
10.2.2 Reliability Index = 318
10.2.3 Bounds on the Probability of Failure = 319
10.3 Single Member-Several Loads Case = 322
10.3.1 Probability of Failure = 322
10.3.2 Bounds on the Probability of Failure = 323
10.4 Several Members-One Load Case (Series System) = 324
10.4.1 Probability of Failure = 324
10.4.2 Simple Bounds on the Probability of Failure = 325
10.4.3 Ditlevsen Bounds on the Probability of Failure = 327
10.5 Several Members-Several Loads Case (Series System) = 330
10.5.1 Probability of Failure = 330
10.5.2 Bounds on the Probablilty of Failure = 331
10.5.3 Brif~ie Materials = 333
10.6 Reliability Analysis of Parallel Systems = 333
10.6.1 Probability of Failure = 333
10.6.2 Simple Bounds on the Probability of Failure = 334
10.6.3 Briftle Materials = 335
10.7 Elastic-Plastic Analysis of Structures = 339
10.7.1 Probability of Failure in ○th Collapse Mode = 339
10.7.2 Overall Probability of Failure of the Structure = 341
10.8 Structures with Correlation of Element Strengths = 346
10.8.1 Series Systems = 347
10.8.2 Parallel Systems = 347
References and Bibliography = 348
Review Questions = 349
Problems = 349
Chapter 11. Reliability-Based Optimum Design = 357
11.1 Introduction = 358
11.2 Optimization Problem = 358
11.3 Formulation of Optimization Problems = 359
11.3.1 Reliability Aliocation Problems = 359
11.3.2 Structural and Mechanical Design Problems = 362
11.4 Soiution Techniques = 368
11.4.1 Graphical Optimization Method = 368
11.4.2 Lagrange Multiplier Method = 372
11.4.3 Penalty Function Method (SUMT) = 375
11.4.4 Dynamic Programming = 385
References and Bibliography = 391
Review Questions = 391
Problems = 392
Chapter 12. Maintainability and Availability = 399
12.1 introduction = 400
12.2 Maintainability = 400
12.2.1 Concept = 400
12.2.2 Preventive Maintenance = 401
12.2.3 Imperfect Maintenance = 405
12.2.4 Repair-Time Distributions = 406
12.2.5 Unrepaired Failures = 409
12.2.6 Optimal Replacement Strategy = 410
12.2.7 Spare Parts Requirement = 412
12.3 Availability = 413
12.3.1 Definitions = 413
12.3.2 Availability Analysis = 414
12.3.3 Development of the Model = 415
12.3.4 Systems with a Single Component = 417
12.3.5 Series Systems = 419
12.3.6 Parallel Systems = 423
12.4 Optimization Approaches = 425
References and Bibliography = 425
Review Questions = 426
Problems = 426
Chapter 13. Failure Modes, Event-Tree and Fault-Tree Analyses = 431
13.1 Introduction = 432
13.2 System Safety Analysis = 432
13.3 Failure Modes and Effects Analysis (FMEA) = 434
13.4 Event-Tree Analysis = 436
13.5 Fault-Tree Analysis (FTA) = 440
13.5.1 Concept = 442
13.5.2 Procedure = 443
13.6 Minimal Cut-Sets = 448
13.6.1 Probability of the TOP Event = 452
References and Bibliography = 459
Review Questions = 460
Problems = 460
Chapter 14. Monte Carlo Simulation = 469
14.1 Introduction = 470
14.2 Generation of Random Numbers = 470
14.2.1 Generation of Random Numbers Following Standard Uniform Distribution = 471
14.2.2 Random Variables with Nonuniform Distribution = 473
14.2.3 Generation of Discrete Random Variables = 477
14.3 Generation of Jointly Distributed Random Numbers = 478
14.3.1 Independent Random Variables = 476
14.3.2 Dependent Random Variables = 479
14.3.3 Generation of Correlated Normal Random Variables = 482
14.4 Computation of Reliability = 487
14.4.1 Sample Size and Error In Simulation = 487
14.4.2 Example: Rellability Analysis of a Straight-line Mechanism = 489
References and Bibliography = 494
Review Questions = 494
Problems = 495
Chapter 15. Reliability Testing = 505
15.1 Introduction = 506
15.1.1 Objectives of Reliability Tests = 507
15.1.2 Details of a Reliability Test = 507
15.2 Analysis of Failure Time = 508
15.2.1 Analysis of Individual Failure Data = 508
15.2.2 Analysis of Grouped Failure Data = 510
15.3 Accelerated Life Testing = 513
15.3.1 Testing Until Partial Failure = 513
15.3.2 Magnified Loading = 514
15.3.3 Sudden-Death Testing = 517
15.4 Sequential Life Testing = 519
15.5 Statistical Inference and Parameter Estimation = 522
15.5.1 Maximum-likelihood Method = 523
15.6 Confidence Intervals = 525
15.6.1 Confidence Interval on the Mean of a Normal Random Variable of Known Standard Deviation = 527
15.6.2 Confidence Interval on the Mean of a Normal Random Variable of Unknown Standard Deviation = 529
15.6.3 Confidence Interval on the Standard Deviation of a Normal Random Variable with Unknown Mean = 530
15.7 Plotting of Reliability Data = 532
15.7.1 Least Squares Technique = 532
15.7.2 Linear Rectification = 533
15.7.3 Plotting Positions = 533
15.7.4 Exponential Distribution = 534
15.7.5 Normal Distribution = 535
15.7.6 Lognormal Distribution = 537
15.7.7 Welbull Distribution = 537
References and Bibliography = 542
Review Questions = 543
Problems = 544
Appendix A. Standard Normal Distribution Function = 549
Appendix B. Critical Values of t-distribution = 551
Appendix C. Critical Values Of χ²-distribution = 553
Appendix D. Product Liability = 557
Index = 561
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