Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique
Kriging-based finite element method (K-FEM) is an enhancement of the conventional finite element method using a Kriging interpolation as the trial solution in place of a polynomial function. In the application of the K-FEM to the Timoshenko beam model, the discrete shear gap (DSG) technique has bee...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Petra Christian University
2022-05-01
|
| Series: | Civil Engineering Dimension |
| Subjects: | |
| Online Access: | https://ced.petra.ac.id/index.php/civ/article/view/24451 |
| _version_ | 1811255593458991104 |
|---|---|
| author | Wong Foek Tjong Stevanus W. Santoso Mellyssa Sutrisno |
| author_facet | Wong Foek Tjong Stevanus W. Santoso Mellyssa Sutrisno |
| author_sort | Wong Foek Tjong |
| collection | DOAJ |
| description |
Kriging-based finite element method (K-FEM) is an enhancement of the conventional finite element method using a Kriging interpolation as the trial solution in place of a polynomial function. In the application of the K-FEM to the Timoshenko beam model, the discrete shear gap (DSG) technique has been employed to overcome the shear locking difficulty. However, the applied DSG was only effective for the Kriging-based beam element with a cubic basis and three element-layer domain of influencing nodes. Therefore, this research examines a modified implementation of the DSG by changing the substitute DSG field from the Kriging-based interpolation to linear interpolation of the shear gaps at the element nodes. The results show that the improved elements of any polynomial degree are free from shear locking. Furthermore, the results of beam deflection, cross-section rotation, and bending moment are very accurate, while the shear force field is piecewise constant.
|
| first_indexed | 2024-04-12T17:27:26Z |
| format | Article |
| id | doaj.art-57c6c56c9f22484092e1512364c48b28 |
| institution | Directory Open Access Journal |
| issn | 1410-9530 1979-570X |
| language | English |
| last_indexed | 2024-04-12T17:27:26Z |
| publishDate | 2022-05-01 |
| publisher | Petra Christian University |
| record_format | Article |
| series | Civil Engineering Dimension |
| spelling | doaj.art-57c6c56c9f22484092e1512364c48b282022-12-22T03:23:16ZengPetra Christian UniversityCivil Engineering Dimension1410-95301979-570X2022-05-0124110.9744/ced.24.1.11-18Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap TechniqueWong Foek Tjong0Stevanus W. Santoso1Mellyssa Sutrisno2Department of Civil EngineeringPetra Christian UniversityStructural Engineer Federal Engineering Consultant Inc., TaipeiDepartment of Civil Engineering Petra Christian University Kriging-based finite element method (K-FEM) is an enhancement of the conventional finite element method using a Kriging interpolation as the trial solution in place of a polynomial function. In the application of the K-FEM to the Timoshenko beam model, the discrete shear gap (DSG) technique has been employed to overcome the shear locking difficulty. However, the applied DSG was only effective for the Kriging-based beam element with a cubic basis and three element-layer domain of influencing nodes. Therefore, this research examines a modified implementation of the DSG by changing the substitute DSG field from the Kriging-based interpolation to linear interpolation of the shear gaps at the element nodes. The results show that the improved elements of any polynomial degree are free from shear locking. Furthermore, the results of beam deflection, cross-section rotation, and bending moment are very accurate, while the shear force field is piecewise constant. https://ced.petra.ac.id/index.php/civ/article/view/24451Kriging-based finite element methodTimoshenko beamshear lockingdiscrete shear gap |
| spellingShingle | Wong Foek Tjong Stevanus W. Santoso Mellyssa Sutrisno Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique Civil Engineering Dimension Kriging-based finite element method Timoshenko beam shear locking discrete shear gap |
| title | Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique |
| title_full | Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique |
| title_fullStr | Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique |
| title_full_unstemmed | Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique |
| title_short | Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique |
| title_sort | locking free kriging based timoshenko beam elements using an improved implementation of the discrete shear gap technique |
| topic | Kriging-based finite element method Timoshenko beam shear locking discrete shear gap |
| url | https://ced.petra.ac.id/index.php/civ/article/view/24451 |
| work_keys_str_mv | AT wongfoektjong lockingfreekrigingbasedtimoshenkobeamelementsusinganimprovedimplementationofthediscretesheargaptechnique AT stevanuswsantoso lockingfreekrigingbasedtimoshenkobeamelementsusinganimprovedimplementationofthediscretesheargaptechnique AT mellyssasutrisno lockingfreekrigingbasedtimoshenkobeamelementsusinganimprovedimplementationofthediscretesheargaptechnique |