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Structural Reliability Methods
Structural Reliability Methods [2122]
Издательство: Technical University of Denmark
Количество страниц: 375
Год: 2007
Аннотация[115 КБ] 
Код: 10476
Описание
This internet publication is the second edition of Structural Reliability Methods and is a corrected and slightly revised version of the first edition published by Wiley, Chichester 1996 (ISBN 0-471-96086-1). The Appendixes 4 and 5 about the reliability software packages PROBAN and STRUREL are not included in the second edition. Instead some web addresses are listed at the reading path diagram below. Peter and Elena Friis-Hansen are acknowledged for help with recovering of text files (typed by Annette Baerentzen as the publishers basis for the first edition) and figure files (worked out by former Ph. D. students).
Содержание
Preface
Contents
1. Introduction
1. 1.1. Probabilistic and deterministic models
2. 1.2. The safety problem
3. 1.3. Formal systems of judgment evaluation
4. 1.4. The tolerance system
5. 1.5. Interpretation of the concept of probability
6. 1.6. Compatibility of the probability interpretations
7. 1.7. Knowledge related nature of the reliability measure
8. 1.8. Ambiguity problem
9. 1.9. Determination of the reliability level by optimization
10. 1.10. Consequence-calculation principle governing the development of the codes
11. 1.11. Optimality postulate
12. 1.12. The following chapters
13. 1.13. Epilogue
14. Bibliography
2. Partial safety factor method
1. 2.1. Limit states
2. 2.2. The safety factor concept and the requirement of formulation invariance
3. 2.3. Probability considerations concerning the safety factor
4. 2.4. Partial safety factors
5. 2.5. Allowable degree of arbitrariness of the choice of partial safety factor values
6. 2.6. Action models
7. 2.7. Load combinations
8. 2.8. Historical and bibliographical notes
9. Bibliography
3. Probabilistic information
1. 3.1. Randomness and uncertainty
2. 3.2. Statistical uncertainty
3. 3.3. Model uncertainty
4. 3.4. Model-uncertainty evaluation and its inclusion in the reliability analysis
5. 3.5. Objectivity of the structural reliability analysis method
6. Bibliography
4. Simple reliability index
1. 4.1. Limited probabilistic information
2. 4.2. Calculus for linear safety margins
3. 4.3. Linear regression
4. 4.4. Geometric calculations by use of linear regression
5. 4.5. The standardized multidimensional normal distribution
6. Bibliography
5. Geometric reliability index
1. 5.1. Nonlinear safety margin. Linearization problem
2. 5.2. The geometric reliability index
3. 5.3. Determination of a locally most central limit-state point by use of linear regression
4. 5.4. Historical and bibliographical notes
5. Bibliography
6. Generalized reliability index
1. 6.1. Shortcomings of the geometric reliability index
2. 6.2. Generalized reliability index
3. 6.3. Reliability index bounds for convex polyhedral safe sets
4. 6.4. Asymptotic reliability index for curved limit-state surface. Definition of "almost plane" limit-state surface (single-point FORM or SORM)
5. 6.5. Polyhedral approximation to arbitrary safe sets (multi-point FORM or SORM)
6. 6.6. Polyhedral approximation at singular points on the limit-state surface (single-point multiple FORM or SORM)
7. 6.7. Historical and bibliographical notes
8. Bibliography
7. Transformation
1. 7.1. Informational asymmetry
2. 7.2. Some important transformations
3. 7.3. On differentiable mappings and surfaces
4. 7.4. The normal tail-approximation principle for determination of locally most central limit-state points
5. 7.5. Approximate calculation of values of the multi-dimensional normal distribution function by use of FORM and SORM
6. 7.6. Reliability analysis for limit states of high complexity
7. 7.7. Historical and bibliographical notes
8. Bibliography
8. Sensitivity analysis
1. 8.1. Measure for the importance of input variables
2. 8.2. Importance measures related to input parameters for element reliability
2.1. 8.2.1. One parameter case
2.2. 8.2.2. The two main cases
2.3. 8.2.3. Several parameters
2.4. 8.2.4. Choice of expansion function
3. 8.3. Importance measures related to the input parameters for parallel-system reliability
4. 8.4. Importance measures related to the input parameters in series-system reliability
5. 8.5. Historical and Bibliographical notes
6. Bibliography
9. Monte Carlo methods
1. 9.1. Simulation principle
2. 9.2. Directional simulation
3. 9.3. A class of useful directional simulation distributions
4. 9.4. Sensitivity factors
5. 9.5. Historical and bibliographical notes
6. Bibliography
10. Load combinations
1. 10.1. Ferry Borges-Castanheta load model
2. 10.2. Rackwitz-Fiessler algorithm for absolutely continuous distribution functions
2.1. 10.2.1. SORM correction
2.2. 10.2.2. Accuracy verification
3. 10.3. Clipped random variables as load pulse amplitudes
4. Bibliography
11. Statistical uncertainty and model uncertainty
1. 11.1. Introduction
2. 11.2. Likelihood function. Sufficient statistics
3. 11.3. Natural conjugate densities of the normal distribution
4. 11.4. Experimental calibration of mathematical models
5. 11.5. Gradient angle estimation by uniform directional simulation on a cone
6. 11.6. Historical and bibliographical notes
7. Bibliography
12. Decision philosophy
1. 12.1. The decision problem
2. 12.2. The von Neumann and Morgenstern axioms for preference ordering
3. 12.3. Optimal reliability
4. 12.4. Uncertain gain and utility functions
5. 12.5. Influence from uncertain determination of the lottery probabilities
6. 12.6. The engineering problem about the choice of utilities facing the phenomenon of risk aversion
7. 12.7. Codified constraints
8. 12.8. Multi-criteria decision analysis
9. 12.9. Influence of radical errors
10. 12.10. Utility loss considerations
11. 12.11. Examples of risk aversion modeling
12. Bibliography
13. Reliability of existing structures
1. 13.1. Information types for an existing structure
2. 13.2. General system formulation for updating by use of relation information
3. 13.3. Decision criteria for existing structures
4. 13.4. Updating by revision of the limit state
5. 13.5. Historical and bibliographical notes
6. Bibliography
14. System-reliability analysis
1. 14.1. Series system and parallel system
2. 14.2. General system. Cut sets and tie sets
3. 14.3. Influence on the definition of the limit state of the time variation of the input variables
4. 14.4. "Jury definitions" of the safe set
5. 14.5. Ideal-plastic systems and ideal-brittle systems
6. 14.6. Historical and bibliographical notes
7. Bibliography
15. Introduction to process descriptions
1. 15.1. Processes. Gaussian processes. Poisson processes
2. 15.2. Upper bound of the failure probability
3. 15.3. Expected number of outcrossings
4. 15.4. Determination of the expected number of outcrossings by directional simulation
5. 15.5. Some simple load models of Poisson type
6. 15.6. Historical and bibliographical notes
7. Bibliography
16. Appendix 1: Code calibration
1. 16.1. Principles of code calibration
2. 16.2. Formulation of code optimization
2.1. 16.2.1. Measure of fit
3. 16.3. Design-value format
4. 16.4. Sensitivity of the replacement vector δ in the design value format
5. 16.5. Sensitivity of the partial safety factors in the design value format
6. Bibliography
17. Appendix 2: Nataf distribution
1. 17.1. Correlation coefficients in Nataf distribution
18.Appendix 3: Proposal for a code for the direct use of reliability methods in structural design
1. Introduction
2. 1. Preface
3. 2. General
4. 3. Concept of adverse state
5. 4. Basic variables and uncertainty modelling
6. 5. Concept of event margin
7. 6. Reliability requirements
8. 7. Action modelling
9. 8. Structural resistance modelling
10. 9. Reliability models
11. 10. Reliability calculation methods
12. 11. List of symbols
13. Bibliography
13.1. Books on Reliability Methods
13.2. Present Codes and Model Codes
14. Appendix 1. Example of reliability requirements
15. Appendix 2. Example of action model parameters
16. Appendix 3. Example of model uncertainty specifications
Index