Fuzzy Finite Element Analysis for Static Responses of Plane Structures

In this paper, a fuzzy finite element algorithm is investigated to determine static responses of plane structures. This algorithm concerns finite element method, fuzzy sets theory, and response surface method. Firstly, the notion of a standardized triangular fuzzy number is developed and utilized to...

Full description

Bibliographic Details
Main Authors: Nguyen Tuan Hung, Le Huynh Xuan, Do Ha Phuong
Format: Article
Language:English
Published: Sciendo 2021-12-01
Series:Civil and Environmental Engineering
Subjects:
Online Access:https://doi.org/10.2478/cee-2021-0045
Description
Summary:In this paper, a fuzzy finite element algorithm is investigated to determine static responses of plane structures. This algorithm concerns finite element method, fuzzy sets theory, and response surface method. Firstly, the notion of a standardized triangular fuzzy number is developed and utilized to replace original fuzzy numbers in the surrogate models. Then, the error estimations between the training and the test sets are performed to select the suitable response surface model amongst the regression models. Lastly, a good performance combination of complete and non-complete quadratic polynomial regression models is proposed to define the responses of structures. The merits of the proposed algorithm are illustrated via numerical examples.
ISSN:2199-6512