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...
Random Vibrations of Discrete and Continuous Inelastic Structures
Nonstationary random vibrations of elasto-plastic cantilever beams excited by earthquakes are studied, where a finite spread of inelastic zones is taken into account. Following a complete...
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...
Discrete Enforcement of Uncertain Oscillator Gaussian Response
A limited number of step-by-step procedures have been developed to recursively evaluate the response moments of uncertain systems. In several of these procedures, the recursive evaluation...
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...
Identification of Power Spectra?Linear and Nonlinear Approaches
Linear dynamical filter systems driven by white noise can be used for the generation of stationary and Gaussian processes. A linear approximation method proposed by W. Wedig is presented...
Active Control of Structures Under Stochastic Base Excitation with a Predominant Frequency
Active control of structures under stochastic base excitation is investigated. The synthesis of an active control system discussed in the study is based on the use of stochastic control...
Application of Probabilistic Approach for Crack Growth Damage Accumulation in Metallic Structures
Two stochastic crack growth approaches (i.e., 'general' and 'analytical') are presented and evaluated for predicting the crack growth...
Potential Applicability of Mathematical Statistics in Stochastic Modelling of Failure Phenomena
Failure phenomena should be investigated clearly with a good understanding of engineering uncertainties associated with strength of the material as well as randomly applied load. In this...
Stochastic Propagation of Semi-Elliptical Surface Cracks
Random propagation of a semi-elliptical surface crack is investigated as a bivariate stochastic process. Under a few assumptions, a probability distribution of the surface crack propagation...
Probabilistic Analysis of the Ghonem and Dore Data
A two-state Markov process model for fatigue crack growth is utilized with experimental fatigue crack growth data reported by H. Ghonem and S. Dore to study the effect of stress ratio...
Analysis of Fatigue Crack Propagation Under Random Loading by Markov Chain
Fatigue crack propagation is simulated in terms of a discrete Markov process considering both the randomness of crack propagation resistance and the randomness of external loading, which...
Damage Process of Composite Material with Randomly Oriented Fibers
A numerical procedure is formulated to make clear the damage process of composite materials with randomly oriented fibers. These composites often have complicated fiber oriented states,...
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