动态系统可靠性分析 高效方法及航空航天应用 英文版【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

动态系统可靠性分析 高效方法及航空航天应用 英文版PDF格式电子书版下载

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1．Introduction1

1.1 Structural Reliability Analysis1

1.2 Non-deterministic Reliability Analysis Methods6

1.2.1 Monte Carlo Simulation(MCS)Method6

1.2.2 FORM(First-order Reliability Method)7

1.2.3 Interval Analysis9

1.2.4 Fuzzy Analysis10

1.2.5 Response Surface Method(RSM)11

1.2.6 Summary12

1.3 Uncertainty Analysis of Dynamic Systems13

1.3.1 Background13

1.3.2 Literature Review of Analytical Approaches to Dynamic Systems15

1.3.3 Summary22

1.4 Scope of the Present Work23

1.5 Overview of the Book23

2．Technical Background25

2.1 Definition of Structural Reliability25

2.2 Technical Basis of the Monte Carlo Simulation Method26

2.3 Theory of the First-order Reliability Method(FORM)30

2.4 Response Surface Method34

2.4.1 Response Surface Models and Fitting Techniques34

2.4.2 Sampling Design Methods36

2.5 Problems of Applying FORM and RSM Methods to Dynamic Systems39

2.5.1 Problematic Failure Surfaces for FORM Applications39

2.5.2 Inaccuracy of RSM in Predicting the Dynamic Response40

2.6 Optimization Solution Through Modal Analysis41

3．Theoretical Fundamentals of the Perturbation Approach43

3.1 Definition of the New Parameters and Safety Margin43

3.2 Derivation of the Two Moments of the New Parameters47

3.2.1 Derivation of the Covariance Matrix of the Modal Parameter ω248

3.2.2 Derivation of the Covariance Matrix of the Defined Parameter dr52

3.2.3 Derivation of the Covariance Matrix of the Modal Parameter[Ф]54

3.2.4 Derivation of the Covariance Matrix of the Defined Parameter rjk,r58

3.2.5 Derivation of the Covariance Matrix of the Combined Parameter T62

3.2.6 Derivation of the Mean Values of the Defined Parameters dr and rjk,r63

3.3 Application Procedure of the New Approach64

3.4 Discussion65

3.5 Summary66

4．Application to a 2D System69

4.1 Finite Element Model of a 2D Dynamic System69

4.2 Applying the Combined Approach:Preliminary Analysis74

4.2.1 Response Analysis76

4.2.2 Safety Margin Contour78

4.3 Perturbation Approach+FORM Method81

4.3.1 Evaluating the Probability of Failure and In-depth Analysis81

4.3.2 Solution 1:Second-order Approximation of d289

4.3.3 Solution 2:New Variable e2 to Replace d2101

4.3.4 Solution 3:Variable ω2 2 to Replace e2104

4.4 Solution 4:Monte Carlo Simulation Replacing FORM111

4.4.1 Perturbation+Monte Carlo Simulation on r2 and ω2 2112

4.4.2 Reliability Analysis of the Updated Combined Approach113

4.5 Summary116

5．Application to a 3D Helicopter Model119

5.1 Background of Helicopter Vibration Control119

5.2 A 3D Helicopter FE Model120

5.2.1 System Details120

5.2.2 Dynamic Characteristics of the Model123

5.3 Response Analysis128

5.4 Reliability Analysis of the Combined Approach129

5.4.1 Probability vs.Excitation Frequencies129

5.4.2 Probability vs.Maximum Displacement and Variation Coefficient132

5.5 Efficiency Analysis135

5.6 Summary137

6. Complete Combined Approach141

6.1 Response Surface Techniques in Obtaining Ck141

6.1.1 Direct RS Model Fitting of the Stiffness Matrix K141

6.1.2 Alternative Fitting Approach143

6.1.3 Analytical Approach to Obtain the Covariance Matrix of K147

6.1.4 Complete Combined Approach149

6.2 Complete Application to 2D Frame Model149

6.2.1 Type I RS Model Fitting with Koshal Design149

6.2.2 Complete Combined Approach151

6.3 Complete Application to 3D Helicopter Model155

6.4 Summary157

7. Conclusions and Future Work159

7.1 Achievements and Conclusions159

7.2 Future Work160

7.2.1 Application of an Enhanced FORM Method161

7.2.2 Further Simplification of Perturbation/Analytical Algorithms163

7.2.3 Development for Non-Probabilistic Methods163

Appendix Ⅰ:Transforming Random Variables from Correlated to Uncorrelated165

Appendix Ⅱ:Analytical Solution of HL Safety Index167

Appendix Ⅲ:Modal Analysis of Dynamic Systems169

Appendix Ⅳ:Multiple Force Analysis173

Appendix Ⅴ:Summary of the Defined Parameters179

Appendix Ⅵ:Nodal Coordinates of the Helicopter Model185

Appendix Ⅶ:Element Connectivity and Properties of the Helicopter Model187

References191

Index199