Stochastic Strain-Displacement Matrices for Finite Elements with Random Constitution
A prescribed correlated random field for elastic moduli furnishes an associated population of stochastic shape functions at the element level. The principle of deterministic tractions,...
Galerkin-Based Response Surface Approach for Reliability Analysis
A new method for structural reliability analysis is presented. The method relies on an efficient algorithm for approximating the response surface of engineering structures. Unlike methods...
Finite Element Reliability of Two Dimensional Continua with Geometrical Nonlinearity
First and second-order reliability methods and the finite-element method are combined into a general methodology for reliability analysis of complex structures with uncertain characteristics...
Development of a Nonlinear Stochastic FEM and its Application
A basic formulation is developed for the nonlinear stochastic finite element method. It is based on the perturbation method and retains its advantage, namely that a nonlinear finite element...
Non-Linear Stochastic Finite-Element Analysis of Continua
Stochastic equivalent linearization, coupled with appropriate endochronic idealizations of the constitutive law, is extended in this paper to analyse the dynamic response of non linear...
Probabilistic Analysis of Soil Structures Using Finite Element Method
The authors have developed general-purpose stochastic finite element analysis system, which supports various types of correlation and computes safety index ? by first-order second-moment...
Seismic Reliability of Non-Linear Structures with Stochastic Parameters by Directional Simulation
The application of improved Monte Carlo method by Directional Simulation and Importance Sampling is presented with reference to the assessment of seismic fragility of reinforced concrete...
Statistical Preconditioning in Simulation of Stochastic Vectors
A new stochastic vector simulation technique which realizes prescribed zero-mean vector and covariance matrix with a substantially smaller sample size than that of other existing methods...
Large Monte Carlo Simulation of Duffing Equation
This effort aims to obtain some accurate statistics of the Duffing Equation subjected to white noise through Monte Carlo simulation. The results obtained can be used to check the accuracy...
Stochastic Finite Element Analysis for Spatial Variations of Soil Properties Using Kriging Technique
When a reliability analysis for geotechnical problems is performed based on the stochastic finite element method, a proper estimation of spatial variation of soil properties is important...
Monte Carlo Simulation Using Pearson's Frequency Curves
An extension of the direct Monte Carlo simulation method to estimate the probability of failure of structural systems or components is investigated. It utilizes the performance values...
Structural Reliability Assessment Using Latin Hypercube Sampling
Many methods have been proposed for structural reliability assessment purposes, such as the First-Order Second-Moment Method, the Advanced Second-Moment Method, computer simulation, etc....
Improved Importance Sampling Methods for Structural System Reliability Calculation
Improvements can be made to importance sampling by recognising some of the essential features of the time-independent structural reliability problem. Thus non-interesting regions in the...
Kernel Method in Importance Sampling Density Estimation
The use of the kernel method to estimate the optimal importance sampling density is introduced. This method requires samples generated from an initial direct Monte Carlo run to construct...
Response Analysis of an Elasto-Plastic System Under Nonstationary Random Input
This study presents that the variance of cumulative plastic deformation of a simple elasto-plastic structure under seismic excitation can be estimated in a relatively simple theoretical...
Responses of a Secondary System and Its Supporting Hysteretic Structure to Seismic Excitations
We consider an N-story building that supports 1-degree-of-freedom equipment on one of the floors, and examine both the building's and the equipment's responses...
Expected Failure Time of Fiber Bundle Systems Subject to Gaussian Load Processes
Methods are developed for estimating the reliability and failure time of Daniels systems subject to Gaussian load processes. These systems consist of a set of parallel fibers and can carry...
Response and Reliability Analysis of Duffing Oscillators Subject to Narrow Band Stationary Gaussian Excitations
Methods are developed for estimating the probability of oscillations on the lower and upper stable branches of the input-output amplitude relationship for a Duffing oscillator subject...
Bifurcations in Stochastic Systems?A Generalized Hermite Analysis
Ito calculus and Markov theory are powerful tools to investigate nonlinear dynamic systems. Consequently, we need an extended experience to solve Fokker-Planck equations. In a more recent...
Two Applications of Asymptotic Laplace Integrals in Structural Reliability
The concepts for asymptotic analytical solutions to so-called Laplace integrals are briefly reviewed. It is shown how integrals occurring in structural reliability can be transformed so...
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