A Strategy for the Reliability Analysis of Complex Structural Systems
A general strategy to estimate the failure probability of the class of structural systems for which each deterministic structural analysis is expensive is proposed. The strategy is interactive,...
Revised Failure-Conditioned Reliability Index
The authors have developed the failure-conditioned reliability index to estimate the probability of intersection of correlated normal variates. The index makes use of the mean and standard...
Random Instability of Elastic-Plastic Frames
A concept of joint probability of elastic and plastic instability modes was formerly given for single columns and now it is extended for framed systems. A critical load is defined for...
An Extension of Iterative Fast Monte-Carlo (IFM) Procedure and its Applications to Time-Variant Structural Reliability Analysis
An efficient sampling procedure which is applicable to time-variant as well as time-invariant structural reliability problems is proposed. First, the concept of the conditional failure...
Structural Failure Probabilities of the HDR-Containment Under Earthquake Loading
A computational procedure for the evaluation of structural failure probabilities due to earthquake loading is developed. Uncertainties in structural and material parameters are taken into...
Application of Probabilistic Methods in Construction Industry
Recent attempts for theoretical development and engineering application of probabilistic methods, which have been carried out in a Japanese engineering and construction company, are summarized....
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...
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...
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...
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...
A New Approximate Solution Technique for Random Vibration of Hysteretic Systems
Approximate probability densities are obtained for the response of hysteretic systems under Gaussian white-noise excitations. The method of analysis is applicable to either bilinear or...
Reduction of First Excursion Probability of Nonlinear Secondary System
This paper deals with reduction of first excursion probability of nonlinear secondary system subjected to seismic excitations. Especially, gap and friction characteristics are considered...
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...
Envelope Crossing Rate and First Passage Probability
Various definitions of the envelope of a random response process are discussed. The statistical properties of the random envelope process based on these definitions are then derived and...
On Stochastic Decomposition and Its Applications in Probabilistic Dynamics
The frequency domain analysis concerning the response of cascade-nested multiple input/output systems requires computation of the cross-spectral density matrix involving the input, intermediate...
Discrete Enforcement of Uncertain Oscillator Gaussian Response
A limited number of step-by-step procedures have been developed to recursively evaluate the response moments of uncertain systems. In several of these procedures, the recursive evaluation...
Dynamic Reliability of Multi-Degrees-of-Freedom Structures with Hysteretic Characteristics Under Combined Random Loads
A method to estimate the dynamic reliability of hysteretic structures under combined loads is investigated. The response statistical moments of structures, with hysteretic characteristics...
A Comparison of Different Mathematical Models for the Spatial Correlation of Distributed Excitation Forces
This paper contains an investigation of the transverse vibrations of EULER-BERNOULLI beams under longitudinal tension and random space-time loading. Using GREEN's function...
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