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...
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...
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...
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...
Analysis of Nonstationary Random Vibrations
Nonstationary random vibrations occur in structural mechanics as well as in vehicle dynamics. Very often the nonstationary excitation process can be modelled as stationary white or colored...
Dynamic Load Computation for Flexible Guideways Under Moving Vehicles Within a Multibody Approach
This paper addresses the problem of the dynamic interaction of vehicles with their supporting guideway. Because of topographical and environmental reasons, modern railways and magnetically...
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...
Dynamic Stability of Cable Domes
The cable domes designed by David Geiger for the gymnastics and fencing arenas for the Olympics at Seoul, Korea, and for the stadium at St. Petersburg, Florida, are geometrically non-linear...
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...
Statistical System Identification of Structures
A general unifying approach to system identification is presented within a Bayesian statistical framework to explicitly treat the inherent uncertainties. It is shown that selecting the...
On the Adequacy of Linearized Methods for Control of Nonlinear Bridge Oscillations
In this paper, control of nonlinear oscillations of a single-span flexible bridge with light damping is examined to improve bridge safety and reliability. The control forces are applied...
Safety Evaluation of a Tall Building
This paper uses the extended Kalman filter to perform the system identification of a tall building with the aid of recorded accelerograms obtained from strong-motion seismographs. The...
Model Identification of an Arch Bridge for Dynamic Analysis
The dynamic responses of a steel deck tension-tied arch bridge subjected to earthquake excitations were investigated. The 189 m (620 ft) Birmingham Bridge located in Pittsburgh, PA was...
Reliability Analysis for Nonlinear Limit States
An analytical procedure, incorporating individual probability distributions of random variables, is proposed for generating moments of any arbitrary order for the nonlinear limit state...
On the Application of Conditional Integration in Structural Reliability Analysis
An accurate, and efficient computational procedure is proposed for structural reliability analysis. The suggested advanced Monte-Carlo simulation utilizes the concept of conditional integration...
Dynamic Reliability Analysis of 3D Frame Structures Using Random Fields Theory
A dynamic reliability analysis system of arbitrary shaped 3-dimensional frame structures is presented and its use is illustrated in bridge seismic safety assessment. The auto- and cross-spectral...
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