Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method
The polygonal scaled boundary finite element method (PSBFEM) is a novel approach integrating the standard scaled boundary finite element method and the polygonal mesh technique. In this work, a user-defined element (UEL) for dynamic analysis based on the PSBFEM is developed in the general finite ele...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/7664870 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850167235436347392 |
|---|---|
| author | Nan Ye Chao Su Yang Yang |
| author_facet | Nan Ye Chao Su Yang Yang |
| author_sort | Nan Ye |
| collection | DOAJ |
| description | The polygonal scaled boundary finite element method (PSBFEM) is a novel approach integrating the standard scaled boundary finite element method and the polygonal mesh technique. In this work, a user-defined element (UEL) for dynamic analysis based on the PSBFEM is developed in the general finite element software ABAQUS. We present the main procedures of interacting with Abaqus, updating AMATRX and RHS, defining the UEL element, and solving the stiffness and mass matrices through eigenvalue decomposition. Several benchmark problems of free and forced vibration are solved to validate the proposed implementation. The results show that the PSBFEM is more accurate than the FEM with mesh refinement. Moreover, the PSBFEM avoids the occurrence of hanging nodes by constructing a polygonal mesh. Thus, the PSBFEM can choose an appropriate mesh resolution for different structures ensuring accuracy and reducing calculation costs. |
| format | Article |
| id | doaj-art-e2bcb7b201d344419d42f075dee1aceb |
| institution | OA Journals |
| issn | 1687-8094 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-e2bcb7b201d344419d42f075dee1aceb2025-08-20T02:21:14ZengWileyAdvances in Civil Engineering1687-80942021-01-01202110.1155/2021/7664870Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element MethodNan Ye0Chao Su1Yang Yang2College of Water Conservancy and Hydropower EngineeringCollege of Water Conservancy and Hydropower EngineeringPowerChina Kunming Engineering Corporation LimitedThe polygonal scaled boundary finite element method (PSBFEM) is a novel approach integrating the standard scaled boundary finite element method and the polygonal mesh technique. In this work, a user-defined element (UEL) for dynamic analysis based on the PSBFEM is developed in the general finite element software ABAQUS. We present the main procedures of interacting with Abaqus, updating AMATRX and RHS, defining the UEL element, and solving the stiffness and mass matrices through eigenvalue decomposition. Several benchmark problems of free and forced vibration are solved to validate the proposed implementation. The results show that the PSBFEM is more accurate than the FEM with mesh refinement. Moreover, the PSBFEM avoids the occurrence of hanging nodes by constructing a polygonal mesh. Thus, the PSBFEM can choose an appropriate mesh resolution for different structures ensuring accuracy and reducing calculation costs.http://dx.doi.org/10.1155/2021/7664870 |
| spellingShingle | Nan Ye Chao Su Yang Yang Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method Advances in Civil Engineering |
| title | Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method |
| title_full | Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method |
| title_fullStr | Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method |
| title_full_unstemmed | Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method |
| title_short | Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method |
| title_sort | free and forced vibration analysis in abaqus based on the polygonal scaled boundary finite element method |
| url | http://dx.doi.org/10.1155/2021/7664870 |
| work_keys_str_mv | AT nanye freeandforcedvibrationanalysisinabaqusbasedonthepolygonalscaledboundaryfiniteelementmethod AT chaosu freeandforcedvibrationanalysisinabaqusbasedonthepolygonalscaledboundaryfiniteelementmethod AT yangyang freeandforcedvibrationanalysisinabaqusbasedonthepolygonalscaledboundaryfiniteelementmethod |