Reliability analysis of dynamic systems efficient probabilistic methods and aerospace applications
Featuring aerospace examples and applications, Reliability Analysis of Dynamic Systems presents the very latest probabilistic techniques for accurate and efficient dynamic system reliability analysis. While other books cover more broadly the reliability techniques and challenges related to large sy...
| Autor principal: | |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Waltham, Mass. :
Academic Press
2013.
Waltham, MA : 2013. |
| Edición: | 1st edition |
| Colección: | Elsevier and Shanghai Jiao Tong University Press aerospace series.
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628032706719 |
Tabla de Contenidos:
- Front Cover; Reliability Analysis of Dynamic Systems: Efficient Probabilistic Methods and Aerospace Applications; Copyright Page; Contents; Dedication; Preface; Acknowledgments; Nomenclature; Abbreviations; Notation and Symbols; 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 Background1.3.2 Literature Review of Analytical Approaches to Dynamic Systems; Interval Analysis; Fuzzy Finite Element Analysis; Monte Carlo Simulation; Response Surface Method; Stochastic Reduced Basis Method; 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; Koshal Design
- Central Composite Design (CCD)Summary; 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 rjk,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 AnalysisApproximation Analysis of r2 and its Components; Approximation Analysis of d2 and its Components; 4.3.2 Solution 1: Second-Order Approximation of d2; Approximation Analysis of d2; Reliability Analysis by the New Approximation of d2; Normal Distribution Analysis of r2 and d2; Normal Distribution Analysis of r2; Normal Distribution Analysis of d2; 4.3.3 Solution 2: New Variable e2 to Replace d2; Probability Analysis of r2 and e2; Normal Distribution Analysis of e2; 4.3.4 Solution 3: Variable ω22 to Replace e2
- Normal Distribution Analysis of ω22
