On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly Technique
The dynamic analysis of flexible delaminated layered beams is revisited. Exploiting Boolean vectors, a novel assembly scheme is developed which can be used to enforce the continuity requirements at the edges of delamination region, leading to a delamination stiffness term. The proposed assembly tech...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/3707658 |
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| author | Nicholas H. Erdelyi Seyed M. Hashemi |
| author_facet | Nicholas H. Erdelyi Seyed M. Hashemi |
| author_sort | Nicholas H. Erdelyi |
| collection | DOAJ |
| description | The dynamic analysis of flexible delaminated layered beams is revisited. Exploiting Boolean vectors, a novel assembly scheme is developed which can be used to enforce the continuity requirements at the edges of delamination region, leading to a delamination stiffness term. The proposed assembly technique can be used to form various beam configurations with through-width delaminations, irrespective of the formulation used to model each beam segment. The proposed assembly system and the Galerkin Finite Element Method (FEM) formulation are subsequently used to investigate the natural frequencies and modes of 2- and 3-layer beam configurations. Using the Euler-Bernoulli bending beam theory and free mode delamination, the governing differential equations are exploited and two beam finite elements are developed. The free bending vibration of three illustrative example problems, characterized by delamination zones of variable length, is investigated. The intact and defective beam natural frequencies and modes obtained from the proposed assembly/FEM beam formulations are presented along with the analytical results and those available in the literature. |
| format | Article |
| id | doaj-art-d9e59270e9fa45adb99969ddcdf92f2b |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d9e59270e9fa45adb99969ddcdf92f2b2025-08-20T03:24:24ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/37076583707658On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly TechniqueNicholas H. Erdelyi0Seyed M. Hashemi1Department of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, Ontario, M5B 2K3, CanadaDepartment of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, Ontario, M5B 2K3, CanadaThe dynamic analysis of flexible delaminated layered beams is revisited. Exploiting Boolean vectors, a novel assembly scheme is developed which can be used to enforce the continuity requirements at the edges of delamination region, leading to a delamination stiffness term. The proposed assembly technique can be used to form various beam configurations with through-width delaminations, irrespective of the formulation used to model each beam segment. The proposed assembly system and the Galerkin Finite Element Method (FEM) formulation are subsequently used to investigate the natural frequencies and modes of 2- and 3-layer beam configurations. Using the Euler-Bernoulli bending beam theory and free mode delamination, the governing differential equations are exploited and two beam finite elements are developed. The free bending vibration of three illustrative example problems, characterized by delamination zones of variable length, is investigated. The intact and defective beam natural frequencies and modes obtained from the proposed assembly/FEM beam formulations are presented along with the analytical results and those available in the literature.http://dx.doi.org/10.1155/2016/3707658 |
| spellingShingle | Nicholas H. Erdelyi Seyed M. Hashemi On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly Technique Shock and Vibration |
| title | On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly Technique |
| title_full | On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly Technique |
| title_fullStr | On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly Technique |
| title_full_unstemmed | On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly Technique |
| title_short | On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly Technique |
| title_sort | on the finite element free vibration analysis of delaminated layered beams a new assembly technique |
| url | http://dx.doi.org/10.1155/2016/3707658 |
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