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Simulation of Multivariate Gaussian Fields Conditioned by Realizations of the Fields and Their Derivatives
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper investigates conditional simulation technique of multivariate Gaussian random fields by stochastic interpolation technique. For the first time in the literature a situation is studied ...
Finite Element Method for Stochastic Beams Based on Variational Principles
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper proposes a new version (fundamentally different from the existing ones) of finite element method for the mean and covariance functions of the displacement for bending beams with ...
Variational Principles Developed for and Applied to Analysis of Stochastic Beams
Publisher: American Society of Civil Engineers
Abstract: In the present paper the deterministic governing equations and boundary conditions for mean and covariance functions of the displacement for statically determinate beams with spatially varying stochastic stiffness are ...
Stochastic FEM Based on Local Averages of Random Vector Fields
Publisher: American Society of Civil Engineers
Abstract: The formula for the covariances of the local averages of homogeneous random scalar fields over rectangular domains is first generalized to include the case of homogeneous random vector fields with quadrant symmetry. For ...