Fractal Two-Level Finite Element Method For Free Vibration of Cracked Beams
The fractal two-level finite element method is extended to the free vibration behavior of cracked beams for various end boundary conditions. A cracked beam is separated into its singular and regular regions. Within the singular region, infinite number of finite elements are virturally generated by f...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/1998/816932 |
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| _version_ | 1832565908611006464 |
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| author | A.Y.T. Leung R.K.L. Su |
| author_facet | A.Y.T. Leung R.K.L. Su |
| author_sort | A.Y.T. Leung |
| collection | DOAJ |
| description | The fractal two-level finite element method is extended to the free vibration behavior of cracked beams for various end boundary conditions. A cracked beam is separated into its singular and regular regions. Within the singular region, infinite number of finite elements are virturally generated by fractal geometry to model the singular behavior of the crack tip. The corresponding numerous degrees of freedom are reduced to a small set of generalized displacements by fractal transformation technique. The solution time and computer storage can be remarkably reduced without sacrifying accuracy. The resonant frequencies and mode shapes computed compared well with the results from a commercial program. |
| format | Article |
| id | doaj-art-1c40f7f6430947978413cfd293aea8a7 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-1c40f7f6430947978413cfd293aea8a72025-02-03T01:05:32ZengWileyShock and Vibration1070-96221875-92031998-01-0151616810.1155/1998/816932Fractal Two-Level Finite Element Method For Free Vibration of Cracked BeamsA.Y.T. Leung0R.K.L. Su1School of Engineering, University of Manchester, Manchester M13 9PL, UKOve Arup & Partners, Hong KongThe fractal two-level finite element method is extended to the free vibration behavior of cracked beams for various end boundary conditions. A cracked beam is separated into its singular and regular regions. Within the singular region, infinite number of finite elements are virturally generated by fractal geometry to model the singular behavior of the crack tip. The corresponding numerous degrees of freedom are reduced to a small set of generalized displacements by fractal transformation technique. The solution time and computer storage can be remarkably reduced without sacrifying accuracy. The resonant frequencies and mode shapes computed compared well with the results from a commercial program.http://dx.doi.org/10.1155/1998/816932 |
| spellingShingle | A.Y.T. Leung R.K.L. Su Fractal Two-Level Finite Element Method For Free Vibration of Cracked Beams Shock and Vibration |
| title | Fractal Two-Level Finite Element Method For Free Vibration of Cracked Beams |
| title_full | Fractal Two-Level Finite Element Method For Free Vibration of Cracked Beams |
| title_fullStr | Fractal Two-Level Finite Element Method For Free Vibration of Cracked Beams |
| title_full_unstemmed | Fractal Two-Level Finite Element Method For Free Vibration of Cracked Beams |
| title_short | Fractal Two-Level Finite Element Method For Free Vibration of Cracked Beams |
| title_sort | fractal two level finite element method for free vibration of cracked beams |
| url | http://dx.doi.org/10.1155/1998/816932 |
| work_keys_str_mv | AT aytleung fractaltwolevelfiniteelementmethodforfreevibrationofcrackedbeams AT rklsu fractaltwolevelfiniteelementmethodforfreevibrationofcrackedbeams |