Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
Abstract In this paper, authors present the study of free vibration of bending multiple cracked functionally graded material (FGM) beam. Vibration equations of multiple cracked FGM beam were established by using the rotational spring model of cracks, dynamic stiffness method (DSM) and actual positio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Marcílio Alves
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| Series: | Latin American Journal of Solids and Structures |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901752&lng=en&tlng=en |
| _version_ | 1818286512584785920 |
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| author | Tran Van Lien Ngo Trong Duc Nguyen Tien Khiem |
| author_facet | Tran Van Lien Ngo Trong Duc Nguyen Tien Khiem |
| author_sort | Tran Van Lien |
| collection | DOAJ |
| description | Abstract In this paper, authors present the study of free vibration of bending multiple cracked functionally graded material (FGM) beam. Vibration equations of multiple cracked FGM beam were established by using the rotational spring model of cracks, dynamic stiffness method (DSM) and actual position of neutral plane. The frequency equation obtained was in a simple form, that provides an effective approach to study not only free vibration of the beams but also inverse problems like identification of material and crack parameters in structure. The obtained numerical results show good agreement with other previous published results. Thence, numerical computation has been carried out to investigate the effect of each crack, the number of cracks, material and geometric parameters on the natural frequencies of multiple cracked Timoshenko FGM beams. |
| first_indexed | 2024-12-13T01:25:46Z |
| format | Article |
| id | doaj.art-f40a2c24e41c48fa9f0785ef1b1ee782 |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-12-13T01:25:46Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-f40a2c24e41c48fa9f0785ef1b1ee7822022-12-22T00:04:09ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-78251491752176610.1590/1679-78253693S1679-78252017000901752Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko BeamsTran Van LienNgo Trong DucNguyen Tien KhiemAbstract In this paper, authors present the study of free vibration of bending multiple cracked functionally graded material (FGM) beam. Vibration equations of multiple cracked FGM beam were established by using the rotational spring model of cracks, dynamic stiffness method (DSM) and actual position of neutral plane. The frequency equation obtained was in a simple form, that provides an effective approach to study not only free vibration of the beams but also inverse problems like identification of material and crack parameters in structure. The obtained numerical results show good agreement with other previous published results. Thence, numerical computation has been carried out to investigate the effect of each crack, the number of cracks, material and geometric parameters on the natural frequencies of multiple cracked Timoshenko FGM beams.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901752&lng=en&tlng=enTimoshenko beamFGMCrackRotational spring modelDSMNatural frequency |
| spellingShingle | Tran Van Lien Ngo Trong Duc Nguyen Tien Khiem Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams Latin American Journal of Solids and Structures Timoshenko beam FGM Crack Rotational spring model DSM Natural frequency |
| title | Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams |
| title_full | Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams |
| title_fullStr | Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams |
| title_full_unstemmed | Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams |
| title_short | Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams |
| title_sort | free vibration analysis of multiple cracked functionally graded timoshenko beams |
| topic | Timoshenko beam FGM Crack Rotational spring model DSM Natural frequency |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901752&lng=en&tlng=en |
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