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....
TLP Fatigue Due to Second-Order Springing
For offhsore oil production in water depths beyond 300-350 m, the tension leg platform (TLP) has become an increasingly popular design concept. The TLP is a floating structure with excess...
A Non-Gaussian Fatigue Model for Offshore Structures
Fatigue damage accumulation in members of offshore structures can be affected by various aspects of the non-Gaussian response stress time history induced by the nonlinear/non-Gaussian...
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...
Floor Live Load Models and Pattern Load Effects
Probabilistic models of sustained live loads and equivalent uniformly distributed loads are discussed with regard to pattern load effects. A simple equivalent pattern load is identified...
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...
Reliability-Based Specification of Design Load-Effect for Penetrating Fragments and Debris
This paper presents the derivation and application of a simplified reliability-based approach for selecting design fragments/debris particles for use in protective design. Using this approach,...
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...
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