The braking process of a passenger car may be influenced by a large number of variables relating to driver, vehicle, brake system, tire-road interaction and ambient conditions. Because...

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...

Asymptotic Importance Sampling
One of the main issues in reliability analysis is the accurate and efficient calculation of the multivariate reliability integral. The Asymptotic Importance Sampling Technique (AIS) selects...

Sampling Techniques for Time-Variant Reliability Problems
Time-variant structural reliability problems arise when the structural resistance may change with time (such as in structural deterioration) or when the system is acted upon by two or...

Comparison of Some Importance Sampling Techniques in Structural Reliability
The approximate calculation of structural reliabilities by FORM/SORM is well known. Nevertheless, alternatives or at least methods with which the error by these methods can be quantified...

Vibration of a Bridge Under a Random Train of Moving Loads
The vibration of a beam resulting from the passage of moving loads is a problem of great importance in structural dynamics. A consistent model for the description of the loads acting on...

On the Approximated Solution of Non-Linear Systems Under Non Gaussian Excitations
The study of non-linear mechanical and structural systems under random excitations has become very important in the last years. When random excitations are Gaussian, many approaches can...

Nonlinear System under Non-Gaussian Impulsive Noise Excitation
A perturbation scheme is devised to obtain an approximate stationary probability density for the response of a nonlinear oscillator subjected to an impulsive noise excitation....

Random Vibration of the Viscoelastic Structure under Series of Stochastic Excitations
In the paper the vibration of viscoelastic single-degree-of-freedom system caused by a random series of pulses is considered. The linear rheological model for the creep law is assumed....

Probabilistic Evaluation of Redundancy of Bridge Structures
Redundancy of bridge structures and methods to evaluate redundancy are reviewed in this paper. A method to measure redundancy based on the existing theories of probability as related to...

Pre-Envelope Covariance Differential Equations
The problem of predicting the safety of structural systems subjected to random loading arises in may engineering applications. In this framework the envelope process plays an important...

Probabilistic Characteristics of a Sliding Structure Via New Stochastic Linearization Methods
New, non-classical stochastic linearization techniques are applied to solve the titled problem. Two alternative criteria, suggested by X. Zhang and I. Elishakoff, respectively, are evaluated....

A probability model for nonlinear load exceedances subjected to a Poisson process with reversible cyclic load pulses was developed and is presented in this paper. A reversible cyclic load...

Quantifying Uncertainty in Site Characterization
The uncertainties in determining the true geologic conditions at the proposed high-level nuclear waste repository at Yucca Mountain, Nevada needed to be determined as part of the Exploratory...

Geotechnical Database Manipulation to Effect Stochastic Analysis
Existing or easily-developed databases of regional geotechnical information can be used to estimate prior probability distributions and parameters for use in stochastic analyses. Prior...

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....

A Criticism of Statistical Methods in Probabilistic Models in Structural Reliability
The usual statistical models, classical and Bayesian, are not well suited for problems of structural reliability, since here we have rarely as assumed for these models a sequence of identical...

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...

High Order Statistics in Structural Reliability
The new simulation technique described in this paper attempts to avoid the significant amount of arbitrariness involved in the choice of the sampling distribution in the increasingly popular...

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,...