One Solution for Different Stochastic Systems
It is shown that different dynamic systems under different sets of random excitations can share an identical probabilistic solution. Such systems are said to be stochastically equivalent,...
Comparison Between Linearization and Gaussian Closure
A variety of approximate solution techniques have been developed for analysis of nonlinear systems. The most widely used method has been equivalent linearization. Recently a general closure...
Stochastic Bifurcation of Nonlinear Parametric Systems
Parametrically excited systems with progressive restorings possess two different solutions: the trivial one and a stationary branching process. The second solution is physically existent...
The Role of Decision Rules on Structural Safety Evaluation Systems
Three steps are involved during an assessment procedure. The first step is to make a diagnosis for possible causes of the damage, the second is to perform a qualitative evaluation including...
Experiences with Applications of Importance Sampling in Structural Reliability Computations
This paper presents some experiences and observations relating to the use of importance sampling in structural systems reliability computations. These are presented with three examples,...
Reliability Based Optimal Structural and Mechanical Design
A reliability based optimal design strategy has been developed. Nonlinear limit state functions and nonnormal random variables can be accommodated. For structural systems analysis, a failure...
System Reliability Under Time Varying Load
The reliability of ductile and brittle structural systems under time varying loads is investigated. The formulation in the context of outcrossing of a vector process is examined. A new...
Statistical Analysis of Occupant Dynamic Loads
Human-induced load-time histories were modeled by several dependent descriptive parameters. These parameters were treated as functions of two independent variables in a multivariate regression...
Stochastic Properties of Wind Spectra
In the first part of this paper the correlation function of measured wind spectra is compared with theoretical correlation models assuming a stationary wind process. This comparison indicates...
Endochronic Theory and Non-Llinear Stochastic Dynamics of 3-D Frames
Analytical continuous expressions of the material constitutive law are required by equivalent linearization techniques in nonlinear stochastic dynamics. Extensions to study 3D frames,...
A Probabilistic Comparative Study of Various Base Isolation Systems?Nonstationary Earthquake Excitation
A probabilistic comparative study of various base isolation systems is carried out. The laminated rubber bearing with and without lead plug, the resilient-friction, and the EDF base isolation...
Reliability of Large Structural Systems Under Time Varying Loads
Time invariant reliability analyses of structural systems are generally carried out by using the well-known failure mode approach. To include the time varying effects of loads, concepts...
Efficient Methods in Time Dependent Reliability
A general and efficient method is presented for computing failure probabilities for components and systems where the uncertainties are represented by a mixture of random variables and...
Stochastic Risk Assessment for Structural Safety
Through the United States the structural safety of major and/or innovative structures has become a serious concern for engineers and to the general public. The objective of this paper...
Quantifying Quality Improvement Programs
Structural codes are evolving to a limit state design basis in which the safety checks are derived from the underlying probability distributions of strength and loads. An example safety...
Engineering Reliability: The Organizational Link
Organizational factors may significantly affect systems' reliability, but they are not typically included in modeling. This paper discusses how the stochastic models of system...
Rainflow Cycles in Nonstationary Gaussian Processes
This paper develops a methodology for calculating the probability distribution for rainflow cycles in a nonstationary Gaussian process. The up- and downcrossing rates are estimated for...
Stochastic Finite Element Analysis of Railroad Tracks
The loads acting on railroad tracks due to the passage of trains and the resisting track parameters have a random character. The purpose of this study is to incorporate the random parameters...
The First Passage Problem: Duffing Equation
The paper shows some simulation results for the response of the Duffing Equation to stationary Gaussian white noise. Results for the zero-start, double barrier, first passage problem of...
Reliability Study of Randomly Imperfect Beam-Columns
In this study, the effect of random initial geometric imperfections was treated as a set of equivalent random initial forces. This concept enables the direct employment of existing stochastic...
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