A Comparative Analysis of FORM/SORM and Polynomial Chaos Expansions for Highly Nonlinear Systems
Optimal Polynomial Control of a Duffing System
Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation
Moment Equations for Linear Systems Subjected to Polynomials of Filtered Poisson Processes
Stable Forced Vibrations Near Unstable Positions
Design of a Threshold Channel
Equivalent Statistical Quadratization of Nonlinear Hydrodynamic Loads on TLPs
In this paper, a new method is proposed for the expansion of nonlinear drag forces expressed in terms of multivariate Hermite polynomials correct up to the second-order. The drag force...
Macromodeling of Complex Composites
Dimensionally reduced p-version finite elements based on higher order theory are developed for modeling laminated composite plates and shells in the presence of cracks, notches, and delaminations....
Polynomial Chaos for Nonlinear Random Vibration
A new technique is presented for the solution of nonlinear random vibration problems. The technique is based on a spectral expansion of the random excitation and of the random response...
p-Version Three Dimensional Curved Shell Element for Geometrically Nonlinear Behavior
This paper presents a p-version hierarchical geometrically nonlinear formulation based on the total Lagrangian approach for a nine node three dimensional curved shell element. The element...
Vibration of Plates with Corner Stress Singularities
A method of analysis is presented to determine the free vibration frequencies of plates having corner stress singularities. Displacements are assumed in the form of polynomials, and corner...
Buckling of Lamianted Plates Using h-p Finite Strips
The paper presents a computationally efficient alternative to the finite element method for the initial buckling analysis of long, shear-deformable composite laminates. In addition the...
Revised Failure-Conditioned Reliability Index
The authors have developed the failure-conditioned reliability index to estimate the probability of intersection of correlated normal variates. The index makes use of the mean and standard...
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...
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...
Experience with the p-Version Program PROBE
The conventional approach in the FEM is known as the h-version, in which the solution accuracy depends on the size h of elements. The alternative approach is the p-version, in which the...
Pipeline Curvature by Polynomial Approximation
Since start-up of the trans-Alaska pipeline in June of 1977, a variety of techniques have been investigated to monitor pipe settlement and evaluate associated pipe integrity. During the...
Discharge Characteristics of Rectangular Profiled Weirs
This paper contains the results of a detailed experimental program carried out to define the discharge characteristics of rectangular profiled weirs. The flow region where the discharge...
Analytical Solutions for Sheet Piles
Spline Interpolations for Water Hammer Analysis
The method of characteristics (MOC) with spline polynomials for interpolations was investigated for numerical water hammer analysis. The overall accuracy is significantly improved compared...
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