Kernel Method in Importance Sampling Density Estimation
The use of the kernel method to estimate the optimal importance sampling density is introduced. This method requires samples generated from an initial direct Monte Carlo run to construct...
Response Analysis of an Elasto-Plastic System Under Nonstationary Random Input
This study presents that the variance of cumulative plastic deformation of a simple elasto-plastic structure under seismic excitation can be estimated in a relatively simple theoretical...
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...
Reduction of First Excursion Probability of Nonlinear Secondary System
This paper deals with reduction of first excursion probability of nonlinear secondary system subjected to seismic excitations. Especially, gap and friction characteristics are considered...
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...
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...
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...
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...
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...
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...
Non-Gaussian Closures For Non-Linear Finite Element Modelled Structures
In the framework of the finite element (FE) method, by using the 'total Lagrangian approach', the stochastic analysis of geometrically non-linear structures is...
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...
Response Variability of Isolated Structure Due to Randomness of Isolation Devices
Effect of randomness of restoring characteristics of an isolation device, which is considered to result from the randomness of material properties, configuration and setting error, on...
Detection of System Nonlinearity
A method for detection of linear/nonlinear characteristics of mechanical systems excited by stationary Gaussian processes is presented. Linear systems under consideration show always a...
Higher Moments Descriptions of Uncertain Quantities in the Analysis of Structural Components
Maximum-entropy and asymptotic models for probability densities with application to the uncertain behavior of a structural component are considered. In particular, they are studied with...
System Identification Methods for Fault Detection and Diagnosis
Faults refer to any unexpected changes or modifications of existing structures resulting from extreme loads or other abnormal loading and environmental conditions. Such faults may effect...
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...
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