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...
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...
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...
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...
Experience in Model Adjustment by Parameter Estimation Methods
If the computational model is uncertain and if measured data of the system exist, system identification approaches lead to an improved computational model with known confidence. After...
Return to search