Galerkin-Based Response Surface Approach for Reliability Analysis
A new method for structural reliability analysis is presented. The method relies on an efficient algorithm for approximating the response surface of engineering structures. Unlike methods...
Development of a Nonlinear Stochastic FEM and its Application
A basic formulation is developed for the nonlinear stochastic finite element method. It is based on the perturbation method and retains its advantage, namely that a nonlinear finite element...
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...
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...
Stochastic Finite Element Analysis of Metal Plate Connected Wood Trusses
A stochastic finite element approach is developed for use in ananlyzing metal plate connected wood trusses. The procedure uses linear beam-column elements to model the wood members. The...
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...
Continuous Simulation of Gaussian Processes with Given Spectrum
A new algorithm, to be called MIMA (modulated interpolated moving average) allows stationary Gaussian processes with given spectral density to be simulated in continuous time, while providing...
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...
Expected Failure Time of Fiber Bundle Systems Subject to Gaussian Load Processes
Methods are developed for estimating the reliability and failure time of Daniels systems subject to Gaussian load processes. These systems consist of a set of parallel fibers and can carry...
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...
Two Applications of Asymptotic Laplace Integrals in Structural Reliability
The concepts for asymptotic analytical solutions to so-called Laplace integrals are briefly reviewed. It is shown how integrals occurring in structural reliability can be transformed so...
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...
Mean Square Stability of Linear Gyroscopic Systems Under Combined Harmonic and Stochastic Excitations
This paper examines the mean square stability of linear gyroscopic systems under both harmonic and stochastic parametric excitations. The intensities of both excitations and correlation...
Random Vibrations of Geometrically Nonlinear Finite Element Plates and Shells
A finite element formulation combined with stochastic linearization and normal mode methods are developed for the study of geometrically nonlinear random vibration characteristics of plate...
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...
The Extreme Value Distribution of Non-Stationary Vector Processes
In this paper the extreme value distribution of functions of non-stationary vector processes is studied. For these processes asymptotic approximations for the crossing rates through hypersurfaces...
Consideration of Non-Gaussian Hysteretic Response Properties of MDOF-Systems by Use of Equivalent Linearization
The stationary stochastic response of nonlinear MDOF-systems is analysed by equivalent linearization (EQL). Non-Gaussian properties of the state vector y are taken into account by utilizing...
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