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Hybrid Methods in Engineering

Publication de 4  numéros par an

ISSN Imprimer: 1099-2391

ISSN En ligne: 2641-7359

STOCHASTIC THIRD-ORDER HYBRID STRESS-BASED FINITE ELEMENT METHOD

Volume 3, Numéro 1, 2001, 27 pages
DOI: 10.1615/HybMethEng.v3.i1.30
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RÉSUMÉ

This article discuses the application of the second-order perturbation, third probabilistic moment approach in the hybrid stress-based finite element analysis. The approach is demonstrated through the example of the linear elastic heterogeneous medium, where the additional stochastic finite element method discretization is based on the Airy, Prandtl, and Goursat stress functions. The numerical examples shown in the article illustrate the probabilistic stress state in some engineering structures with randomly varying material and geometrical parameters. The results obtained in the computational experiments can be directly used in the third-order reliability method analyses of various engineering problems having any closed-form mathematical or approximative numerical solutions.

CITÉ PAR
  1. Kuo Y. L., Cleghorn W. L., Curvature- and displacement-based finite element analyses of flexible slider crank mechanisms, International Journal for Numerical Methods in Biomedical Engineering, 26, 10, 2008. Crossref

  2. References, in The Stochastic Perturbation Method for Computational Mechanics, 2013. Crossref

  3. Kuo Y-L., Cleghorn WL, Curvature- and displacement-based finite element analyses of flexible four-bar mechanisms, Journal of Vibration and Control, 17, 6, 2011. Crossref

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