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,...
A Computationally Efficient Solution Procedure for Stationary Two-State Problems in Stochastic Mechanics
A numerical procedure is presented for the solution of stationary two-state Markov process problems with a single source. The proposed solution method combines finite element and finite...
Adaptive Reliability-Based Inspection Strategies for Structures Subject to Fatigue
Metallic structures subject to substantial load-induced fatigue must be inspected from time to time and, possibly, repaired or even put out of service if the damage has reached critical...
Objective Comparison of Fatigue Crack Growth Laws
This paper presents objective criteria for choosing between different fatigue crack growth laws to represent a material's fatigue behavior based on a data set containing multiple...
Fatigue Crack Closure Under Random Loading
The goals of the research are to determine fatigue crack growth rates for stationary random amplitude loadings with arbitrary mean stress. Fatigue crack closure theory is applied to justify...
Reliability of Plastic Slabs
In the paper it is shown how upper and lower bounds for the reliability of plastic slabs can be determined. For the fundamental case it is shown that optimal bounds of a deterministic...
Nonlinear Load Exceedances with Correlated Sustained Load Process
Past studies on nonlinear structural response of a single member only concerned with independent, identically distributed load magnitudes. When the structural member is subjected to cumulative...
Extreme Value Distribution for Stochastic Processes Subject to a Full Load Climate
Reliability analysis of structures subject to environmental loads generally involves load effects which are properly treated as stochastic processes, and requires determination of the...
Optimization of Structures Under Stochastic Loads
A method for design under multiple stochastic loads based on optimization is developed. The objective function such as cost is minimized under the constraint that the probabilities of...
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