Spectral stochastic finite element method: 1D Euler-Bernoulli beam example

Version (597 ko) par Felipe
Solution of the Euler-Bernoulli beam example proposed in Sec. 5.2 of the book by Ghanem and Spanos'
1,5K téléchargements
Mise à jour 28 sept. 2015

Afficher la licence

A 1D Euler-Bernoulli beam with uncertain bending rigidity (w=EI) and subjected to deterministic distributed load is analyzed by the spectral stochastic finite element method. This reference example is described in Sec. (5.2) of the book: "Stochastic finite elements: A spectral approach" by Ghanem and Spanos.
The main function 'SSFEM_EB_beam.m' contains a step-by-step solution of this problem. Several references to equations and useful comments are written in order to provide a better understanding of the code. The program estimates for a number terms in the Karhunen-Loève expansion (variable 'KLterms') and a given order of the polynomial chaos (variable 'p_order'), the corresponding PDF and CDF of the displacement at a given degree of freedom of the beam. For comparison purposes, the folder 'result_MCS' contains a .txt file with the solution obtained by the Monte Carlo simulation method.
Any suggestions, corrections and/or improvements will be kindly received :-)

Citation pour cette source

Felipe (2024). Spectral stochastic finite element method: 1D Euler-Bernoulli beam example (https://www.mathworks.com/matlabcentral/fileexchange/53276-spectral-stochastic-finite-element-method-1d-euler-bernoulli-beam-example), MATLAB Central File Exchange. Récupéré le .

Compatibilité avec les versions de MATLAB
Créé avec R2014a
Compatible avec toutes les versions
Plateformes compatibles
Windows macOS Linux
En savoir plus sur Partial Differential Equation Toolbox dans Help Center et MATLAB Answers

Inspiré par : export_fig

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Publié le Notes de version