Probability Model of Load Exceedances under Cyclic Loadings
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,...
Site-Dependence of Spatial Coherency
The spatial coherency of ground motion from nine dense arrays are analyzed to examine the site-dependence of spatial coherency. The spatial coherencies computed for arrays located on alluvium...
Estimates of Extreme Wind Distribution Tails
The assumption that extreme winds have a Gumbel distribution appears to yield unrealistically high failure probability estimates for wind-sensitive structures. For this reason we study...
Non-Gaussian Vortex Induced Aeroelastic Vibrations under Gaussian Wind
The 'lock in' aeroelastic vibration phenomenon observed for random wind excitation is modeled in a way that allows the application of the Slepian model process tool to obtain an approximation...
Reliability Analysis of Degrading Elasto-Plastic Oscillators
A method is developed for calculating the probability (reliability) that the total plastic displacement of an elasto-plastic oscillator does not exceed a critical level during a reference...
A Stochastic Model for Crack Initiation and Fatigue Life
A stochastic theory of high cycle fatigue life is based on a combination of the theory of diffusion in the presence of a stress field with activated state theory. The result is expressed...
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...
Probabilistic Evaluation of Bearing Capacity of Shallow Foundations
A probabilistic model is developed to evaluate the bearing capacity of shallow foundations. The bearing capacity formulation proposed by Terzaghi is used but with the bearing capacity...
Reliability of Controlled Structures Subject to Real Parameter Uncertainties
This paper presents a systematic and probabilistically consistent approach for determining the likelihood that instability will result from the uncertainty inherently present in a controlled...
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...
Truncation of Infinite Hierarchy for Hysteretic Systems
An analytical approach for estimating the response statistics of hysteretic systems subjected to Gaussian or Non-Gaussian white noise excitation is proposed. A generalized Ito moment equation...
Probabilistic Order of Chaotic Dynamics
A chaotic dynamics system generally turns a deterministic input into a random-like output. Although the response is not directly predictable in the deterministic sense, its probabilistic...
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