Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches
Transverse vibration of rectangular composite plates with multiple distributed composite patches is analyzed in this paper. Because of the geometric discrepancy between the plate and patch, analytical solutions are usually hard to achieve. The present model is formulated by using the Rayleigh–Ritz m...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/6618983 |
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| author | Yan Guo Yanan Jiang Bin Huang Ji Wang |
| author_facet | Yan Guo Yanan Jiang Bin Huang Ji Wang |
| author_sort | Yan Guo |
| collection | DOAJ |
| description | Transverse vibration of rectangular composite plates with multiple distributed composite patches is analyzed in this paper. Because of the geometric discrepancy between the plate and patch, analytical solutions are usually hard to achieve. The present model is formulated by using the Rayleigh–Ritz method and adopting various types of modal shape functions of uniform beam as admissible functions for different boundary conditions. The total system energies are calculated by adding the energies of the substrate plate and the energies of the patches. By imposing the displacement-matching condition at the patch domains, the coordinate systems of the substrate plate and patches are coupled. By means of the present method, it is very convenient and efficient to build the system governing equations and solve the eigenvalue problem. For the composite patches, they are also assumed to be symmetrically layered and have the same layer stacking sequence with the substrate laminate. The effects of layer stacking sequence, modulus ratio, aspect ratio, and boundary conditions on the natural frequencies are investigated and discussed. The results are also compared with the existed benchmark solutions and FEM solutions for validation. The numerical results demonstrate that the proposed approach is computationally very efficient and accurate and can be used as a tool to solve transverse vibration problems of composite plate with multiple composite patches. |
| format | Article |
| id | doaj-art-30631b2ac7e4439b82ca7aea1eec7776 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-30631b2ac7e4439b82ca7aea1eec77762025-02-03T01:03:56ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/66189836618983Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite PatchesYan Guo0Yanan Jiang1Bin Huang2Ji Wang3College of Science & Technology, Ningbo University, Ningbo 315300, ChinaCollege of Science & Technology, Ningbo University, Ningbo 315300, ChinaKey Laboratory of Impact and Safety Engineering (Ningbo University), Ministry of Education, Ningbo 315211, ChinaPiezoelectric Device Laboratory, Faculty of Mechanical Engineering & Mechanics, Ningbo University, Ningbo 315211, ChinaTransverse vibration of rectangular composite plates with multiple distributed composite patches is analyzed in this paper. Because of the geometric discrepancy between the plate and patch, analytical solutions are usually hard to achieve. The present model is formulated by using the Rayleigh–Ritz method and adopting various types of modal shape functions of uniform beam as admissible functions for different boundary conditions. The total system energies are calculated by adding the energies of the substrate plate and the energies of the patches. By imposing the displacement-matching condition at the patch domains, the coordinate systems of the substrate plate and patches are coupled. By means of the present method, it is very convenient and efficient to build the system governing equations and solve the eigenvalue problem. For the composite patches, they are also assumed to be symmetrically layered and have the same layer stacking sequence with the substrate laminate. The effects of layer stacking sequence, modulus ratio, aspect ratio, and boundary conditions on the natural frequencies are investigated and discussed. The results are also compared with the existed benchmark solutions and FEM solutions for validation. The numerical results demonstrate that the proposed approach is computationally very efficient and accurate and can be used as a tool to solve transverse vibration problems of composite plate with multiple composite patches.http://dx.doi.org/10.1155/2020/6618983 |
| spellingShingle | Yan Guo Yanan Jiang Bin Huang Ji Wang Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches Shock and Vibration |
| title | Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches |
| title_full | Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches |
| title_fullStr | Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches |
| title_full_unstemmed | Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches |
| title_short | Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches |
| title_sort | transverse vibration analysis of composite plates with multiple distributed composite patches |
| url | http://dx.doi.org/10.1155/2020/6618983 |
| work_keys_str_mv | AT yanguo transversevibrationanalysisofcompositeplateswithmultipledistributedcompositepatches AT yananjiang transversevibrationanalysisofcompositeplateswithmultipledistributedcompositepatches AT binhuang transversevibrationanalysisofcompositeplateswithmultipledistributedcompositepatches AT jiwang transversevibrationanalysisofcompositeplateswithmultipledistributedcompositepatches |