The strong formulation finite element method: stability and accuracy
The Strong Formulation Finite Element Method (SFEM) is a numerical solution technique for solving arbitrarily shaped structural systems. This method uses a hybrid scheme given by the Differential Quadrature Method (DQM) and the Finite Element Method (FEM). The SFEM takes the best from DQM and FEM gi...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2014-07-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/1256 |
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| author | Francesco Tornabene Nicholas Fantuzzi Michele Bacciocchi |
| author_facet | Francesco Tornabene Nicholas Fantuzzi Michele Bacciocchi |
| author_sort | Francesco Tornabene |
| collection | DOAJ |
| description | The Strong Formulation Finite Element Method (SFEM) is a numerical solution technique for solving arbitrarily shaped structural systems. This method uses a hybrid scheme given by the Differential Quadrature Method (DQM) and the Finite Element Method (FEM). The SFEM takes the best from DQM and FEM giving a highly accurate strong formulation based technique with the adaptability of finite elements. The present study investigates the stability and accuracy of SFEM when applied to 1D and 2D structural components, such as rods, beams, membranes and plates using analytical and semi-analytical well-known solutions. The numerical results show that the present approach can be very accurate using a small number of grid points and elements, when it is compared to standard FEM. |
| format | Article |
| id | doaj-art-c0fab967001241df99a0353bddee81f0 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2014-07-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-c0fab967001241df99a0353bddee81f02025-01-02T23:01:02ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932014-07-01829The strong formulation finite element method: stability and accuracyFrancesco TornabeneNicholas FantuzziMichele BacciocchiThe Strong Formulation Finite Element Method (SFEM) is a numerical solution technique for solving arbitrarily shaped structural systems. This method uses a hybrid scheme given by the Differential Quadrature Method (DQM) and the Finite Element Method (FEM). The SFEM takes the best from DQM and FEM giving a highly accurate strong formulation based technique with the adaptability of finite elements. The present study investigates the stability and accuracy of SFEM when applied to 1D and 2D structural components, such as rods, beams, membranes and plates using analytical and semi-analytical well-known solutions. The numerical results show that the present approach can be very accurate using a small number of grid points and elements, when it is compared to standard FEM.https://www.fracturae.com/index.php/fis/article/view/1256Free Vibration Analysis |
| spellingShingle | Francesco Tornabene Nicholas Fantuzzi Michele Bacciocchi The strong formulation finite element method: stability and accuracy Fracture and Structural Integrity Free Vibration Analysis |
| title | The strong formulation finite element method: stability and accuracy |
| title_full | The strong formulation finite element method: stability and accuracy |
| title_fullStr | The strong formulation finite element method: stability and accuracy |
| title_full_unstemmed | The strong formulation finite element method: stability and accuracy |
| title_short | The strong formulation finite element method: stability and accuracy |
| title_sort | strong formulation finite element method stability and accuracy |
| topic | Free Vibration Analysis |
| url | https://www.fracturae.com/index.php/fis/article/view/1256 |
| work_keys_str_mv | AT francescotornabene thestrongformulationfiniteelementmethodstabilityandaccuracy AT nicholasfantuzzi thestrongformulationfiniteelementmethodstabilityandaccuracy AT michelebacciocchi thestrongformulationfiniteelementmethodstabilityandaccuracy AT francescotornabene strongformulationfiniteelementmethodstabilityandaccuracy AT nicholasfantuzzi strongformulationfiniteelementmethodstabilityandaccuracy AT michelebacciocchi strongformulationfiniteelementmethodstabilityandaccuracy |