Spectral stochastic finite element method: 2D plane stress example

Version 1.0.2.0 (3,95 Mo) par Felipe
Solution of the plane stress example proposed in Sec. 5.3 of the book by Ghanem and Spanos'
1,3K téléchargements
Mise à jour 12 déc. 2017

Afficher la licence

A 2D plane stress solid with uncertain elasticity modulus and subjected to deterministic distributed load is analyzed by the spectral stochastic finite element method. This reference example is described in Sec.(5.3): "Stochastic finite elements: A spectral approach" by Ghanem and Spanos.
The main function 'main_ssfem_plate.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 mean and standard deviation displacement response fields; also the corresponding PDF and CDF of the displacement at a given degree of freedom of the solid. The folder 'result_MCS' contains a .txt file with the solution obtained by the Monte Carlo simulation method for comparison purposes.
A complete description of the method is in:
http://www.bdigital.unal.edu.co/51037/

It is worth mentioning that another implementation of this example can be found in the FERUM software http://www.ce.berkeley.edu/projects/ferum/Download/download.html

Any suggestions, corrections and/or improvements will be kindly accepted :-)

Citation pour cette source

Felipe (2024). Spectral stochastic finite element method: 2D plane stress example (https://www.mathworks.com/matlabcentral/fileexchange/51240-spectral-stochastic-finite-element-method-2d-plane-stress-example), MATLAB Central File Exchange. Récupéré le .

Compatibilité avec les versions de MATLAB
Créé avec R2017b
Compatible avec toutes les versions
Plateformes compatibles
Windows macOS Linux
Catégories
En savoir plus sur Simulation, Tuning, and Visualization dans Help Center et MATLAB Answers
Remerciements

A inspiré : Earthquake mapping acceleration

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
1.0.2.0

* Efficient computation of the PCE for the response displacement
* Minor bugs

1.0.1.0

Minor description updates

1.0.0.0