Partial Safety Factor Method Probabilistic Information Simple Reliability Index Geometric Reliability Index Generalized Reliability Index Transformation Sensitivity Analysis Monte Carlo Methods Load Combinations Statistical and Model Uncertainty Decision Philosophy Reliability of Existing Structures System Reliability Analysis Introduction to Process Descriptions.

https://chodor-projekt.net/wp-content/uploads/BiNSK/Literatura/Dilevsen,Madsen,%20Structural%20Reliability%20Methods%20(2007).pdf

Structural Reliability Methods

Reliability analysis—a review and some perspectives

Structural reliability of concrete bridges including improved chloride-induced corrosion models

Reliability-Based Design Optimization (RBDO) involves evaluation of probabilistic constraints, which can be done in two different ways, the Reliability Index Approach (RIA) and the Performance Measure Approach (PMA). It has been reported in the literature that RIA yields instability for some problems but PMA is robust and efficient in identifying a probabilistic failure mode in the RBDO process. However, several examples of numerical tests of PMA have also shown instability and inefficiency in the RBDO process if the Advanced Mean Value (AMV) method, which is a numerical tool for probabilistic constraint evaluation in PMA, is used, since it behaves poorly for a concave performance function, even though it is effective for a convex performance function. To overcome difficulties of the AMV method, the Conjugate Mean Value (CMV) method is proposed in this paper for the concave performance function in PMA. However, since the CMV method exhibits the slow rate of convergence for the convex function, it is selectively used for concave-type constraints. That is, once the type of the performance function is identified, either the AMV method or the CMV method can be adaptively used for PMA during the RBDO iteration to evaluate probabilistic constraints effectively. This is referred to as the Hybrid Mean Value (HMV) method. The enhanced PMA with the HMV method is compared to RIA for effective evaluation of probabilistic constraints in the RBDO process. It is shown that PMA with a spherical equality constraint is easier to solve than RIA with a complicated equality constraint in estimating the probabilistic constraint in the RBDO process. NOMENCLATURE X

https://www.researchgate.net/profile/Kyung_Choi2/publication/237608923_Hybrid_Analysis_Method_for_Reliability-Based_Design/links/0046352a9d2fc3d1e0000000.pdf

Hybrid Analysis Method for Reliability-Based Design Optimization

Reliability-Based Optimization in Structural Engineering

Structural Reliability Theory and Its Applications

1. Fundamentals of Structural Reliability Theory.- 1.1 Introduction.- 1.2 Modelling of Load and Resistance Variables.- 1.3 The Fundamental Case.- 1.4 Basic Variables and Failure Surfaces.- 1.5 The Hasofer and Lind Reliability Index.- 1.6 Estimate of the Reliability of Single Elements.- 1.7 Non-Normal Basic Variables.- 2. Modelling of Structural Systems.- 2.1 Introduction.- 2.2 Modelling of Structural Elements.- 2.3 Fundamental Systems.- 2.4 Systems Modelling At Level N.- 2.5 Systems Modelling at Mechanism Level.- 2.6 Formal Representation of Systems.- 2.7 Approximations of the Multivariate Normal Distribution Function.- 3. Reliability of Series Systems.- 3.1 Introduction.- 3.2 Probability of Failure of Series Systems.- 3.3 Reliability Bounds for Series Systems.- 3.4 Series Systems with Equally Corelated Elements.- 3.5 Series Systems with Unequally Correlated Elements.- 3.6 The Hohenbichler Approximation.- 4. Reliability of Parallel Systems.- 4.1 Introduction.- 4.2 Probability of Failure of Parallel Systems.- 4.3 Reliability Bounds for Parallel Systems.- 4.4 Equivalent Linear Safety Margins for Parallel Systems.- 4.5 Parallel Systems with Equally Correlated Elements.- 4.6 Parallel Systems with Unequally Correlated Elements.- 5. Automatic Generation of Safety Margins.- 5.1 Introduction.- 5.2 Generation of Safety Margins for Truss Structures.- 5.3 Generation of Safety Margins for Frame Structures Subjected to Single Load Effect.- 5.4 Generation of Safety Margins for Frame Structures Subjected to Combined Load Effects.- 5.5 Generation of Fundamental Mechanisms for Elastoplastic Structures.- 6. Reliability Analysis of Structural Systems by the ?-Unzipping Method.- 6.1 Introduction.- 6.2 Non-Normal Basic Variables.- 6.3 Reliability of Single Elements.- 6.4 Estimate of Systems Reliability at Level 1.- 6.5 Estimate of Systems Reliability at Level 2.- 6.6 Estimate of Systems Reliability at Level N > 2.- 6.7 Estimate of Systems Reliability at Mechanism Level.- 7. The Branch-and-Bound Method.- 7.1 Introduction.- 7.2 Failure Paths and Failure Modes.- 7.3 The Concept of the Branch-and-Bound Method.- 7.4 Identification of Dominant Failure Paths.- 7.5 Evaluation of the Systems Reliability.- 7.6 Application to Offshore Structures.- 7.7 Further Developments and Numerical Examples.- 8. Optimization of Structural Systems.- 8.1 Introduction.- 8.2 Probability-Based Optimum Design Problem.- 8.3 Various Problems of Probability-Based Optimum Design.- 8.4 Optimum Design Based on Element Reliability.- 8.5 Optimal Design by The ?-Unzipping Method.- Appendix the Standard Normal Distribution Function c.

Application of Structural Systems Reliability Theory

A new strategy for inspection and repair of structural elements and systems is presented. The total cost of inspection and repair is minimized with the constraints that the reliability of elements and/or of the structural system are acceptable. The design variables are the time intervals between inspections and the quality of the inspections. Numerical examples are presented to illustrate the performance of the strategy. The strategy can be used for any engineering system where inspection and repair are required.

Optimal strategy for inspection and repair of structural systems

Reliability and Optimization of Structural Systems 1st ... This book contains 38 papers presented at the seventh Working Conference on 'Reliability and Optimization of Structural Systems' held at Boulder, Colorado, USA, on April 2-4, 1996. The Working Conference was organized by the IFIP (International Federation for Information Processing) Working Group 7.5 of Technical Committee 7 and was the seventh in a series of similar conferences.

Reliability and Optimization of Structural Systems '88

https://vbn.aau.dk/files/198377683/Assessment_of_the_Reliability_Profiles_for_Concrete_Bridges.pdf

Palle Thoft-Christensen

Papers

Structural Reliability Theory and Its Applications

Application of Structural Systems Reliability Theory

Optimal strategy for inspection and repair of structural systems

Reliability and Optimization of Structural Systems '88

Assessment of the Reliability Profiles for Concrete Bridges