# 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

Stable Forced Vibrations Near Unstable Positions

Moment Equations for Linear Systems Subjected to Polynomials of Filtered Poisson Processes

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...*

Failure Prediction of Anisotropic Material

*Basic mathematical elements of a higher order failure theory for anisotropic material are outlined. Surface closure is ensured by requiring a tensor polynomial to satisfy constraint conditions....*

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....*

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...*

Buckling of Variable Cross-Section Columns

*An approximate solution for the problem of buckling of variable cross-section columns, loaded by variable axial force is given, for several boundary conditions. Both the cross-section...*

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...*

Fracture Mechanics Fatigue Reliability Assessment Employing the Most Probable Point Locus Method

*The statistical distribution of cycle life, N, could be easily constructed if N were an explicit function of the design factors. A simple strategy for constructing the distribution of...*

A Vectorized Polynomial Preconditioned Conjugate Gradient Solver Package for the USGS 3-D Ground-Water Model

*A vectorized polynomial preconditioned conjugate gradient (PPCG) numerical algorithm is presented as an additional solver package interfaced with the Modular Three-Dimensional Finite Difference...*

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...*

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