HANDLING TEMPERATURE DEPENDENT PROPERTIES AND BOUNDARY CONDITIONS IN STOCHASTIC FINITE ELEMENT ANALYSIS

A. F. Emery · Tushar D. Fadale

13 citations0/0 files storedNumerical Heat Transfer Part A Applications

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Probabilistic and Robust Engineering Design Geotechnical Engineering and Analysis Heat Transfer and Numerical Methods

Abstract

This paper describes the application of the stochastic finite element method (SFEM) to problems in which the properties and boundary conditions are temperature dependent. It is shown that, in contrast to systems with constant but uncertain properties, the equations are nonlinear. A method is given mat linearizes the equations. Several examples are given to demonstrate when higher order estimates of the variances are needed. The problems are also solved using stratified sampling, and it is shown that for equal accuracy, the SFEM involves approximately 1 / 20th the computational effort.

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References

1991Experimentation and Uncertainty Analysis for Engineers 1995Probabilistic Structural Mechanics Handbook 1988Transient probabilistic systems 1995Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications 1994Transient Effects of Uncertainties on the Sensitivities of Temperatures and Heat Fluxes Using Stochastic Finite Elements

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2000Higher Order Perturbation Analysis of Stochastic Thermal Systems With Correlated Uncertain Properties

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