Modeling Fatigue Crack Growth Resistance, dN/da
In the fracture mechanics approach to fatigue, da/dN is correlated with the cyclic range of the stress intensity factor, ?K; the resulting relation, da/dN=f (?K), is commonly called the...
Stochastic Modeling of Fatigue Crack Growth
A new lognormal fatigue crack propagation model has been presented in which a two-dimensional state vector has been employed to introduce experimentally observed history dependence of...
Markov Chains & Soil Constitutive Modeling
The focus of this research effort is the construction of a mathematical framework to assist in understanding the role of uncertainties in the constitutive/dynamic behavior of soils. The...
Statistics of Concrete Shrinkage Test Data
The paper reports a large series of concrete shrinkage tests which can be used for statistical purposes. The series involves two groups of 36 identical cylindrical specimens, with a diameter...
First-Order Reliability Analysis of Groundwater Flow
A method for stochastic analysis of groundwater flow based on the first-order reliability approach is presented. The method is well suited for problems in which statistical information...
Stochastic Fem Analysis of Nonlinear Dynamic Problems
This paper deals with the stochastic finite element analysis of nonlinear structural dynamic problems, using Monte Carlo simulation techniques. The stochasticity of those problems arises...
Orthogonal Expansion for Beam Variability
A new method for the solution of problems involving random media is proposed. The medium property is represented by a stochastic process. The method makes use of an orthogonal expansion...
Stochastic Finite Element Analysis of Frames with Flexible Connections
A procedure is proposed in this paper for the stochastic finite element analysis of frames with stochastic connection rigidity. A beam-column element is used to simulate the connection...
Lifetime Reliability of Wood Structural Systems
A model to predict ultimate capacity reliability of wood systems is developed. The model is analogous to Markov cumulative damage models. System ultimate capacity is defined as failure...
Random Vibration of a Discrete-Distributed System
The stationary response of an arbitrarily complex, classically damped discrete-distributed system subjected to stationary Gaussian white noise is derived. For certain excitations, the...
STOCAL-II-An Instructional Software for Random Vibrations
STOCAL-II (Computer Assisted Learning of STOchastic methods) is an instructional software for teaching random vibrations and applied stochastic processes. It is based on and is an extension...
A Stochastic Seismological Model in Earthquake Engineering
Recent studies of source mechanisms and wave propagation models enable one to generate strong motions based on deterministic source and source-to-site characteristics. The normal mode...
Recursive Modeling of Dynamic Response of MDOF Systems
The dynamic response of multi-degree-of-freedom (MDOF) systems to correlated multi-input random excitations utilizing recursive modeling is presented. The recursive model is formulated...
Stochastic System Identification in Structural Dynamics
Recently, new identification methods have been developed by using the concept of optimal-recursive filtering and stochastic approximation. These methods, known as stochastic identification,...
Random Vibrations of Geometrically Nonlinear Finite Element Structures
A finite element formulation combined with stochastic linearization method is developed to study the large amplitude vibration characteristics of structures subjected to random loadings....
Moments of Nonlinear Systems
In this paper the problem of writing the equations of moments of nonlinear systems excited by both external and parametric Gaussian white processes is re-examined. The classical K. Ito...
One Solution for Different Stochastic Systems
It is shown that different dynamic systems under different sets of random excitations can share an identical probabilistic solution. Such systems are said to be stochastically equivalent,...
Comparison Between Linearization and Gaussian Closure
A variety of approximate solution techniques have been developed for analysis of nonlinear systems. The most widely used method has been equivalent linearization. Recently a general closure...
Stochastic Bifurcation of Nonlinear Parametric Systems
Parametrically excited systems with progressive restorings possess two different solutions: the trivial one and a stationary branching process. The second solution is physically existent...
System Reliability Under Time Varying Load
The reliability of ductile and brittle structural systems under time varying loads is investigated. The formulation in the context of outcrossing of a vector process is examined. A new...
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