Stochastic Finite Element Method Using Polynomial Chaos Expansion

Wei Zhao; Ji Ke Liu

doi:10.4028/www.scientific.net/AMR.199-200.500

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Dynamic Reliability Sensitivity Design of Mechanical Components with Arbitrary Distribution Parameters
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An General Method on Heat Dissipating Capacity in Multidimensional Heat Transfer
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Computing Method of Reliability Sensitivity under Independent Multi-Failure Modes
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Out-Plane Stability of Derrick of Inclined Drilling Rig
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Stochastic Finite Element Method Using Polynomial Chaos Expansion

Abstract:

We present a new response surface based stochastic finite element method to obtain solutions for general random uncertainty problems using the polynomial chaos expansion. The approach is general but here a typical elastostatics example only with the random field of Young's modulus is presented to illustrate the stress analysis, and computational comparison with the traditional polynomial expansion approach is also performed. It shows that the results of the polynomial chaos expansion are improved compared with that of the second polynomial expansion method.