Reliability Analysis of Dynamic Systems:Efficient Probabilistic Methods and Aerospace Applications

动态系统可靠性分析:高效方法及航空航天应用(英文版)

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Author: Wu Bin
Language: English
ISBN/ISSN: 9787313101709
Published on: 2013-11
Hardcover

《动态系统可靠性分析:高效方法及航空航天应用(英文版)》针对动态系统的可靠性分析,阐述了一种新的优化技术,即针对低频率谐振动力载荷下的工程产品结构可靠性问题,使用综合的快速概率方法,也即“扰动算法+蒙特卡洛方法”。在针对两个航空航天实际工程案例的应用中发现,运用此方法能快速准确地解决失效面高非线性、大量计算强度和动态系统高复杂度等原有概率方法的应用困难。《动态系统可靠性分析:高效方法及航空航天应用(英文版)》的出版填补了国际上对高效快速概率方法的研究空白。《动态系统可靠性分析:高效方法及航空航天应用(英文版)》可供从事民用飞机结构可靠性安全性工程设计分析、试验、管理的技术人员和相关专业的研究生使用。


Dedication
Preface
Acknowledgments
Nomenclature
List of Figures
List of Tables
1.Introduction
1.1 Structural Reliability Analysis
1.2 Non—deterministic Reliability Analysis Methods
1.2.1 Monte Carlo Simulation (MCS) Method
1.2.2 FORM (First—order Reliability Method)
1.2.3 Interval Analysis
1.2.4 Fuzzy Analysis
1.2.5 Response Surface Method (RSM)
1.2.6 Summary
1.3 Uncertainty Analysis of Dynamic Systems
1.3.1 Background
1.3.2 Literature Review of Analytical Approaches to Dynamic Systems
1.3.3 Summary
1.4 Scope of the Present Work
1.5 Overview of the Book
2.Technical Background
2.1 Definition of Structural Reliability
2.2 Technical Basis of the Monte Carlo Simulation Method
2.3 Theory of the First—order Reliability Method (FORM)
2.4 Response Surface Method
2.4.1 Response Surface Models and Fitting Techniques
2.4.2 Sampling Design Methods
2.5 Problems of Applying FORM and RSM Methods to Dynamic Systems
2.5.1 Problematic Failure Surfaces for FORM Applications
2.5.2 Inaccuracy of RSM in Predicting the Dynamic Response
2.6 Optimization Solution Through Modal Analysis
3.Theoretical Fundamentals of the Perturbation Approach
3.1 Definition of the New Parameters and Safety Margin
3.2 Derivation of the Two Moments of the New Parameters
3.2.1 Derivation of the Covariance Matrix of the Modal Parameter ω2
3.2.2 Derivation of the Covariance Matrix of the Defined Parameter dr
3.2.3 Derivation of the Covariance Matrix of the Modal Parameter (φ)
3.2.4 Derivation of the Covariance Matrix of the Defined Parameter rjk,r
3.2.5 Derivation of the Covariance Matrix of the Combined Parameter T
3.2.6 Derivation of the Mean Values of the Defined Parameters dr and rik,r
3.3 Application Procedure of the New Approach
3.4 Discussion
3.5 Summary
4.Application to a 2D System
4.1 Finite Element Model of a 2D Dynamic System
4.2 Applying the Combined Approach: Preliminary Analysis
4.2.1 Response Analysis
4.2.2 Safety Margin Contour
4.3 Perturbation Approach + FORM Method
4.3.1 Evaluating the Probability of Failure and In—depth Analysis
4.3.2 Solution 1: Second—order Approximation of d2
4.3.3 Solution 2: New Variable e2 to Replace d2
4.3.4 Solution 3: Variable ω22 to Replace e2
4.4 Solution 4: Monte Carlo Simulation Replacing FORM
4.4.1 Perturbation + Monte Carlo Simulation on r2 and ω22
4.4.2 Reliability Analysis of the Updated Combined Approach
4.5 Summary
5.Application to a 3D Helicopter Model
5.1 Background of Helicopter Vibration'Control
5.2 A 3D Helicopter EE Model
5.2.1 System Details
5.2.2 Dynamic Characteristics of the Model
5.3 Response Analysis
5.4 Reliability Analysis of the Combined Approach
5.4.1 Probability vs.Excitation Frequencies
5.4.2 Probability vs.Maximum Displacement and Variation Coefficient
5.5 Efficiency Analysis
5.6 Summary
6.Complete Combined Approach
6.1 Response Surface Techniques in Obtaining Ck
6.1.1 Direct RS Model Fitting of the Stiffness Matrix K
6.1.2 Alternative Fitting Approach
6.1.3 Analytical Approach to Obtain the Covariance Matrix of K
6.1.4 Complete Combined Approach
6.2 Complete Application to 2D Frame Model
6.2.1 Type I RS Model Fitting with Koshal Design
6.2.2 Complete Combined Approach
6.3 Complete Application to 3D Helicopter Model
6.4 Summary
7.Conclusions and Future Work
7.1 Achievements and Conclusions
7.2 Future Work
7.2.1 Application of an Enhanced FORM Method
7.2.2 Further Simplification of Perturbation/Analytical Algorithms
7.2.3 Development for Non—Probabilistic Methods
Appendix Ⅰ:Transforming Random Variables from Correlated to Uncorrelated
Appendix Ⅱ:Analytical Solution of HL Safety Index
Appendix Ⅲ:Modal Analysis of Dynamic Systems
Appendix Ⅳ:Multiple Force Analysis
Appendix Ⅴ:Summary of the Defined Parameters
Appendix Ⅵ:Nodal Coordinates of the Helicopter Model
Appendix Ⅶ:Element Connectivity and Properties of the
Helicopter Model
References
Index





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