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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2021-12-01
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| Series: | Civil and Environmental Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/cee-2021-0045 |
| _version_ | 1811226115504603136 |
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| author | Nguyen Tuan Hung Le Huynh Xuan Do Ha Phuong |
| author_facet | Nguyen Tuan Hung Le Huynh Xuan Do Ha Phuong |
| author_sort | Nguyen Tuan Hung |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T09:18:55Z |
| format | Article |
| id | doaj.art-023dad4c278c4f03bdd4b9e9b12e6160 |
| institution | Directory Open Access Journal |
| issn | 2199-6512 |
| language | English |
| last_indexed | 2024-04-12T09:18:55Z |
| publishDate | 2021-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Civil and Environmental Engineering |
| spelling | doaj.art-023dad4c278c4f03bdd4b9e9b12e61602022-12-22T03:38:42ZengSciendoCivil and Environmental Engineering2199-65122021-12-0117242043710.2478/cee-2021-0045Fuzzy Finite Element Analysis for Static Responses of Plane StructuresNguyen Tuan Hung0Le Huynh Xuan1Do Ha Phuong2Faculty of Civil Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam.National University of Civil Engineering, 55 Giai Phong, Hai Ba Trung, Hanoi, Vietnam.Faculty of Civil Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam.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.https://doi.org/10.2478/cee-2021-0045fuzzy sets theoryfuzzy finite elementresponse surface methodpossibility-probability transformationsgeneralized similarity measure |
| spellingShingle | Nguyen Tuan Hung Le Huynh Xuan Do Ha Phuong Fuzzy Finite Element Analysis for Static Responses of Plane Structures Civil and Environmental Engineering fuzzy sets theory fuzzy finite element response surface method possibility-probability transformations generalized similarity measure |
| title | Fuzzy Finite Element Analysis for Static Responses of Plane Structures |
| title_full | Fuzzy Finite Element Analysis for Static Responses of Plane Structures |
| title_fullStr | Fuzzy Finite Element Analysis for Static Responses of Plane Structures |
| title_full_unstemmed | Fuzzy Finite Element Analysis for Static Responses of Plane Structures |
| title_short | Fuzzy Finite Element Analysis for Static Responses of Plane Structures |
| title_sort | fuzzy finite element analysis for static responses of plane structures |
| topic | fuzzy sets theory fuzzy finite element response surface method possibility-probability transformations generalized similarity measure |
| url | https://doi.org/10.2478/cee-2021-0045 |
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