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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...

Stochastic Finite Element Analysis of a Damped Beam on Random Foundation and Subjected to Fast Moving Loads
The dynamic effect of fast moving loads on a rail is analysed by the perturbation-based stochastic finite element method. The rail is modeled as an elastic beam resting on the Winkler...

Finite Element Dynamic Reliability Analysis with Condensation
This paper presents the use of matrix condensation in stochastic finite element-based reliability analysis of structures subjected to dynamic loading, in the context of modal superposition....

Reliability of Nonlinear Frame Structures by SFEM
A method is proposed for the reliability analysis of nonlinear frame structures with flexible connections. The uncertainty of a connection is represented by a group of random moment-relative...

Evaluation of Seismic Soil Response Using Stochastic Linearization
This paper discusses the use of stochastic linearization to non-degrading soils. First, the Bouc-Wen model parameters are reviewed. Monte Carlo simulation results are compared with the...

Predicting Effects of Subsidence on Landfill Caps
Groundwater protection at unlined, closed landfills relies upon limiting cover or cap infiltration. Depressions on closed landfills indicate infiltration from reduced runoff and loss of...

Polynomial Chaos for Nonlinear Random Vibration
A new technique is presented for the solution of nonlinear random vibration problems. The technique is based on a spectral expansion of the random excitation and of the random response...

Structural Reliability Analysis Methods for Implicit Performance Functions
Structural performance functions are often defined implicitly using numerical algorithms such as finite element and boundary element methods. One of the challenges in dealing with implicitly...

An Advanced First-Order Method for System Reliability
This paper proposes an iterative first-order method for accurate estimation of the joint failure region of two nonlinear limit states. Current methods use either a first-order approach...

Structural Reliability and Failure Mechanism Determination Using Monte Carlo Simulation with Variance Reduction Techniques
The objective of this paper is to present a possible method for assessing a structure's reliability and determining the collapse mechanism using Monte-Carlo simulation with variance reduction...

A Two-Stage Safety Assessment Methodology for Construction Activities
The control of construction activities requires the evaluation of the condition of the control attributes of interest. In order to develop the required methodology, a model of the construction...

Numerical Solution of the Transient Fokker-Planck Equation: The Movie
The finite element method is applied to the solution of the transient Fokker-Planck equation for several nonlinear dynamical systems in R², giving...

Reliability-Based Optimization Using Sequential Quadratic Programming
This paper proposes a method for reliability-based optimization of large structures using the Stochastic Finite Element Method, including both component and system reliabilities. In SFEM,...

Reliability Analysis of Plates with Initial Deflection by Entropy Model
Reliability analysis of postbuckling strength is discussed on rectangular plates with initial deflections whose statistical mechanism is estimated by the maximum entropy criteria. Assuming...

Critical Buckling Load Statistics of an Uncertain Column
The objective of this paper is to examine the statistics of the buckling load of a column with uncertain material properties. The elastic modulus is assumed to be a random process that...

 

 

 

 

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