Probabilistic Analysis on the Uncertainty in Natural Frequency of Functionally Graded Material Beams

Abstract:

This paper applies the stochastic finite element method (SFEM) to perform the natural frequency analysis of functionally graded material (FGM). It is assumed that the elastic modulus and width of the FGM beam vary along the thickness and width directions following exponential functions. The stochastic eigenvalue problem is solved independently by first-order perturbation and Monte Carlo simulation (MCS) method through changing elastic modulus as spatial randomness. The results show that the first-order perturbation method based SFEM produces a very close value to MCS method.

• Periodical: Applied Mechanics and Materials (Volume 889)
• Pages: 484-488
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.889.484
• Online since: March 2019
• Authors: Van Thuan Nguyen, Duy Liem Nguyen
• Keywords: Beam, First-Order Perturbation Technique, Functionally Graded Materials, Spectral Representation

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