Maximum and Minimum Storage Trajectories That Meet Specific Risk Levels
One of Hydro-Quebec concerns is to operate its installations so as to satisfy the operating constraints. This paper describes a mathematical tool that enables the utility company to state...
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...
Application of the Sampling Theorem to the Representation of Random Fields
A new parametric model is developed for homogeneous Gaussian random fields based on a generalization of the sampling theorem. The model depends linearly on a finite set of discrete values...
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...
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...
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...
Updating of Dynamic Structural Systems by Learning
Many techniques have been developed to identify structural system parameters; however, they are generally restricted to parameter identification within the framework of an equivalent structure...
Parameter Estimations of Structural Dynamic Systems
In this paper, time-domain methods for estimating the system parameters and the modal properties of linear structural dynamic systems are studied. The autoregressive and moving average...
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...
Experiences with Experimental Design Schemes for Failure Surface Estimation and Reliability
When using FORM and SORM to predict the probability of failure for a structural component a model for the failure function has to exist. For certain structural components a mechanical...
Earthquake Ground Motion Modeling with Stochastic Line Source
Principles of geophysics and stochastics are applied to develop an earthquake model, in which the earth medium is idealized as consisting of stratified elastic layers, responding to seismic...
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...
Stochastic Modelling of Strong Ground Motions for the Istanbul, Turkey Area from Seismic Data for the Surrounding Region
The ultimate goal of this research is to obtain simulations of earthquake ground motions for the Istanbul, Turkey region. A process of earthquake analysis developed by Ellis and Cakmak...
Digital Simulation of Wind Load Effects
The time domain solution of the equations of motion of structures subjected to a stochastic wind field is often obtained by a step-by-step integration approach. The loading is often described...
Slepian Process of a Non-stationary Process
An algorithm for simulating a zero-mean non-stationary Gaussian process over a fixed interval [0,T] with given arbitrary covariance function as well as the associated Slepian model process,...
Some Remarks on BK-Models for Fatigue Crack Growth
The choice of a model parameter for concentrating the entire uncertainties of a constant load amplitude fatigue crack growth process is shown to be sufficient when reproducing the first...
A Fatigue Reliability Model for Railway Bridges
A fatigue reliability model is described for safety evaluation of steel railway bridges. The model is a function of six independent random variables and can accommodate different types...
Some Modeling and Analysis Techniques for Wave Propagation in Random Media
Some mathematical modeling techniques for the problem of wave propagation in randomly imperfect periodic medium are reviewed: multiscale formulation and random evolution modeling. These...
Differential Motions in Sedimentary Valleys
The differential motions (strains), induced in sediment-filled valleys due to incident seismic waves, are investigated. The response of a two-dimensional model of an asymmetric wedge-shaped...
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