Optimal Discretization of Random Fields for SFEM
A new method for discretization of random fields (representation in terms of random variables) is introduced based on the principle of optimal linear estimation theory. The method is more...
Pseudo-Simulation Method for Stochastic Problems
A new numerical method for problems of stochastic mechanics and other areas involving a small number of random parameters is presented. It is analogous to the Monte-Carlo simulation method...
Response Variability and Reliability of Plates Using the Weighted Integral Method
A methodology is introduced to perform both the response variability and reliability analysis of two-dimensional stochastic systems (specifically plates subjected to plane stress or plane...
Stochastic Finite Elements and Reliability Analysis
A general - purpose approach for assessing the reliability of a nonlinear mechanical system under stochastic conditions was presented in (Faravelli, 1991). It combines the skeleton of...
Reliability Analysis of Uncertain Systems Under Random Loadings
This study considers the reliability assessment of uncertain systems under random loadings. The fast integration method (Wen and Chen, 1987) in conjunction with a second order asymptotic...
A Coordinate Reduction Technique With Mass Correction for Dynamic Analysis of Structural Systems
A more accurate technique which can be applied for reducing the order of system matrices when employing the finite element method (FEM) is presented. Unlike traditional reduction techniques,...
A Selective MC Simulation Technique for Nonlinear Structural Reliability Assessment
A selective Monte Carlo simulation (MCS) procedure for the evaluation of the reliability of nonlinear structures subjected to dynamic random loading is presented. The proposed 'double...
Reliability-Based Specification for Engineered Wood Construction
A three-year, industry-sponsored effort has resulted in the development of a reliability-based, load and resistance factor design (LRFD) Specification for wood construction. Improvements...
Use of Importance Sampling Constraints in System Optimization
An important application of system reliability analysis is to incorporate overall system risk as a constraint in a structural optimization. The paper describes the use of Monte Carlo Importance...
Variability Response Functions and Stochastic Field Discretization in Stochastic Finite Element Methods
Stochastic systems whose mechanical properties vary spatially are investigated in the present paper. The stochastic response variability of the systems is characterized by means of the...
Stochastic Finite & Boundary Element Simulations
Stochastic constitutive properties are important in real-world design-analyses. Therein the spatially varying random coefficients in field equations necessitate rather unconventional computational...
Extended Kalman Filter-Finite Element for Geotechnical Problems
A parameter identification method has been developed in geotechnical engineering problems, where the extended Kalman filter-weighted local iteration procedure is developed incorporated...
Dynamic Response of Uncertain Two-Dimensional Structures
A concept for the reliability analysis of structures with uncertain elastic and mass properties is presented. Its applicability is shown by means of a numerical example. The results are...
In-Plane Non-Linear Random Vibration of Composite Plates
Filamentary composite structural components used in engineering applications are usually subjected to stochastic loads. Composites have strongly anisotropic properties and display significantly...
Critical Issues Related to a Combined Probabilistic Numerical Analysis of Contaminant Transport in Porous Media
Reliability algorithms provide attractive alternatives to Monte Carlo simulation and stochastic perturbation approaches for probabilistic analysis of contaminant transport in porous media....
Sensitivity Evaluation of Simulation Methods for Reliability Assessment
Commonly used reliability assessment methods include the first-order methods, second-order methods, and Monte Carlo simulation methods with or without variance reduction techniques. The...
A Mathematical Tool Set for SORM Reliability Methods
FORM and SORM methods are used for approximating failure probabilities. Here an overview of the main mathematical results of SORM methods is given: Classification of asymptotic behavior,...
Response of Suspension and Deck Arch Bridges to Spatially Varying Ground Motion
Recent awareness of the spatial variation of earthquake ground motion has caused concern about the safety of large engineered structures under seismic excitation. The effects of spatially...
Inspection Planning for Surface Fatigue Cracks
A reliability based method for planning of inspections to detect surface fatigue cracks is presented. Cracks are described as semi-elliptical surface cracks. The conditions governing fatigue...
A Stochastic Approach to the Fatigue Reliability
In this paper, the stochastic approach, which combines the mixed boundary integral equation method (Lua et al (1992a)) with the First Order Reliability Method (FORM), is applied to study...
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