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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...

Exact Nonstationary Response of a Sliding Rigid Structure to a Modulated White Noise Base Excitation
The seismic design of embankment dams, earth retaining walls and base isolation systems have emphasized the dynamic analysis of a rigid block sliding on a moving base. In an early study...

Analytical Methods for the Determination of Correlations and Spectra of Nonlinear System Response
Three analytical methods are described for the prediction of response correlation functions and spectra of nonlinear dynamic systems under white noise excitation. The associated FPK 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...

Fatigue Life Variability and Reliability Analysis of a Wind Turbine Blade
Wind turbines must withstand harsh environments that induce many stress cycles into their components. A numerical analysis package is used to illustrate the sobering variability in predicted...

Fatigue/Fracture Reliability and Maintainability of Structural Systems: A Method of Analysis
Fatigue and fracture of structural components are the principal modes of failure for those structural systems that are dominated by tensile dynamic (oscillatory) loads. As the structure...

A Statistical Method for the Reliability of Mechanical Components
The usual statistical treatment of data for the reliability of components is to fit a distribution to them and then to use this theoretical distribution for predictions. But since this...

Response of Secondary Systems to Short Duration Stochastic Input
Techniques have been developed for evaluating the mean-square response of systems to non-stationary loads. To gain insight into the response behavior, approximate expressions have been...

On a Procedure to Estimate the Reliability of Mechanical Components
A procedure, based on the response surface concept is suggested to estimate the failure probability of mechanical components and structures under static as well as dynamic loading conditions....

Structural Reliability Analysis Methods for Implicit Performance Functions
Structural performance functions are often defined implicitly using numerical algorithms such as finite element and boundary element methods. One of the challenges in dealing with implicitly...

An Advanced First-Order Method for System Reliability
This paper proposes an iterative first-order method for accurate estimation of the joint failure region of two nonlinear limit states. Current methods use either a first-order approach...

Probabilistic Rotordynamics Analysis Using an Adaptive Importance Sampling Method
A methodology is developed to compute the probability of instability of a rotor system that can be represented by a system of second-order ordindary linear differential equations. The...

A Systems Reliability Approach to the Safety of Steel Connections
A methodology is presented to determine the probability of failure of steel connections using a systems approach. Results indicate that connection safety evaluations which do not use this...

Structural Reliability and Failure Mechanism Determination Using Monte Carlo Simulation with Variance Reduction Techniques
The objective of this paper is to present a possible method for assessing a structure's reliability and determining the collapse mechanism using Monte-Carlo simulation with variance reduction...

A Two-Stage Safety Assessment Methodology for Construction Activities
The control of construction activities requires the evaluation of the condition of the control attributes of interest. In order to develop the required methodology, a model of the construction...

Numerical Solution of the Transient Fokker-Planck Equation: The Movie
The finite element method is applied to the solution of the transient Fokker-Planck equation for several nonlinear dynamical systems in R², giving...

Risk Based Optimal Fatigue Testing
Optimal fatigue life testing of materials is considered. Based on minimization of the total expected costs of a mechanical component a strategy is suggested to determine the optimal stress...

Time-Variant System Reliability Analysis Using Response Surface Methodology and Fast Integration
An approximate method is presented to solve the structural reliability problem of complex structural systems subjected to time-variant loads where the parameters of the structural system...

First-Excursion Probability of Uncertain Structures
The first-order reliability method (FORM) is used to estimate the first-excursion probability of uncertain structures subjected to deterministic dynamic loads. An algorithm is developed...

Risk Based Structural Optimization
Risk based structural optimization problems for structural systems are formulated on basis of a so-called risk index. The risk index is defined as a consequence modified reliability index...

 

 

 

 

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