Journal
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
Volume 29, Issue 4, Pages 525-538Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2020.1778144
Keywords
Karhunen-Loeve expansion; polynomial chaos expansion; sandwich composite beam; sensitivity analysis; spectral stochastic finite element method; time domain spectral element method
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In this work, a combination method called STSEM is proposed for computing the stochasticity of a higher-order sandwich composite beam with spatial variability in the material properties. The efficiency of both SSFEM and TSEM is utilized for uncertainty analysis of the sandwich beam, and sensitivity analysis of the material properties is performed.
In this work, a combination of the spectral stochastic finite element method (SSFEM) and the time-domain spectral element method (TSEM), referred to as the stochastic time domain spectral element method (STSEM), is presented to compute the stochasticity of strain and stress of a higher-order sandwich composite beam with spatial variability in the material properties. The method proposed in this work employs the efficiencies of both SSFEM and TSEM for the uncertainty analysis of a sandwich beam. The material properties of face sheets and core are considered as Gaussian random fields, which are discretized using the Karhunen-Loeve expansion, and polynomial chaos expansion is used to represent the response quantity. A numerical example is considered for which, first, a sensitivity analysis is performed to identify the most sensitive material properties. Then, the proposed STSEM is used to demonstrate the computational efficiency and numerical accuracy in comparison with Monte-Carlo simulation. Moreover, the effect of core depth on strain and stress variability is also examined.
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