Results 281 to 290 of about 1,001,378 (328)
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A finite element method for the statistics of non-linear random vibration
Journal of Sound and Vibration, 1985Summary: The transitional probability density function for the random response of a certain class of nonlinear system satisfies the Fokker-Planck- Kolmogorov equation. This paper concerns the numerical solution of the stationary form of this equation, yielding the stationary probability density function of response.
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Multiscale Stochastic Finite Element Method on Random Boundary Value Problems
2010In this paper, we present a novel Multiscale Stochastic Finite Element Method (MSFEM) to solve boundary value problems involving random heterogeneous materials. The Green-function-based MSFEM decomposes a boundary value problem into three subproblems at three length scales with each being solved with reduced computational cost.
Lihua Shen, X. Frank Xu
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Stochastic Finite Element Method for Nonlinear Dynamic Problem with Random Parameters
Advanced Materials Research, 2011Several algorithms were proposed relating to the development of a framework of the perturbation-based stochastic finite element method (PSFEM) for nonlinear dynamic problem with random parameters, for this purpose, based on the stochastic virtual work principle , some algorithms and a framework related to SFEM have been studied. An interpolation method
Qing Wang, Yang Cao
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Random vibration response of cantilever plates using the finite element method
AIAA Journal, 1970Vx and Vz are components of reference velocity along the x and z axes, V is the reference velocity magnitude, JJL is the gravitation parameter, and h is the angular momentum. To first order in e, the secular errors due to neglecting e are then given by Eqs. (1-4) with A; = 1.5p/ha.
ALFRED T. JONES, CHARLES W. BEADLE
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Reliability analysis in geotechnics with the random set finite element method
Computers and Geotechnics, 2005Abstract This paper presents a possible framework for dealing with uncertainties in geotechnical engineering based on more recently introduced mathematical theories. Random sets are employed to describe the variability of material parameters and geometrical data.
H.F. Schweiger, G.M. Peschl
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Efficient Implementation of Random Pressure Fields with the Finite Element Method
SAE Technical Paper Series, 1987<div class="htmlview paragraph">An efficient technique is developed for use with the finite element method for the vibration prediction of structures subjected to random, spatially distributed excitation pressure fields. User input to the finite element code and computation time are minimized by taking advantage of reciprocity within the finite ...
Philip J. Hipol, Allan G. Piersol
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Size Effect of Random Field Elements on Finite-Element Reliability Methods
1991The structural reliability analysis is formulated based on two fundamental assumptions: (1) the state of the structure is defined in the outcome space of a vector of basic random variables; (2) the structure can be in one of two states, the safe state or the failure state.
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The Random Finite Element Method (RFEM) in Steady Seepage Analysis
2007The effect of stochastic soil permeability on confined seepage occurring beneath water retaining structures has been studied. Random field concepts for the generation of soil permeability properties with a fixed mean, standard deviation and spatial correlation structure, have been combined with finite element methods to perform Monte Carlo simulations ...
D.V. Griffiths, Gordon A. Fentont
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