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Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces
This paper presents a multiscale approach to study the nonlinear vibration of fiber reinforced composite laminates containing an embedded, through-width delamination dividing the laminate into four sub-laminates. The equations of motion are established from macroscopic nonlinear mechanics for plates...
Autores principales: | , , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5493714/ https://www.ncbi.nlm.nih.gov/pubmed/28667293 http://dx.doi.org/10.1038/s41598-017-04570-3 |
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author | Xue, Jianghong Xia, Fei Ye, Jun Zhang, Jianwen Chen, Shuhua Xiong, Ying Tan, Zuyuan Liu, Renhuai Yuan, Hong |
author_facet | Xue, Jianghong Xia, Fei Ye, Jun Zhang, Jianwen Chen, Shuhua Xiong, Ying Tan, Zuyuan Liu, Renhuai Yuan, Hong |
author_sort | Xue, Jianghong |
collection | PubMed |
description | This paper presents a multiscale approach to study the nonlinear vibration of fiber reinforced composite laminates containing an embedded, through-width delamination dividing the laminate into four sub-laminates. The equations of motion are established from macroscopic nonlinear mechanics for plates and shells and micro-mechanics of composite material to allow for the influences of large amplitude, membrane stretching in the neutral plane, and the interactions of the sublaminates. Analytical solutions obtained in this paper reveal that the interaction penalty at the interfaces plays a coupling effect between sublaminates, which eventually alters the vibration characters of the four-sublaminate lamina in macroscopic and microscopic mechanism. From a macro perspective, sub-laminates above and below the delamination vibrate in exactly the same mode in spite of their different stiffness and the four-sublaminate lamina has a consistent global vibration mode. In accompanying with the macro vibration, micro buckles occur on the interfaces of the delamination with amplitude about 10(−3) times of that of the global mode. It is found that the vibration frequency is an eigenvalue of the delaminated lamina determined only by the geometry of the delamination. Authentication of the multiscale study is fulfilled by comparing the analytical solutions with the FEA results. |
format | Online Article Text |
id | pubmed-5493714 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-54937142017-07-05 Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces Xue, Jianghong Xia, Fei Ye, Jun Zhang, Jianwen Chen, Shuhua Xiong, Ying Tan, Zuyuan Liu, Renhuai Yuan, Hong Sci Rep Article This paper presents a multiscale approach to study the nonlinear vibration of fiber reinforced composite laminates containing an embedded, through-width delamination dividing the laminate into four sub-laminates. The equations of motion are established from macroscopic nonlinear mechanics for plates and shells and micro-mechanics of composite material to allow for the influences of large amplitude, membrane stretching in the neutral plane, and the interactions of the sublaminates. Analytical solutions obtained in this paper reveal that the interaction penalty at the interfaces plays a coupling effect between sublaminates, which eventually alters the vibration characters of the four-sublaminate lamina in macroscopic and microscopic mechanism. From a macro perspective, sub-laminates above and below the delamination vibrate in exactly the same mode in spite of their different stiffness and the four-sublaminate lamina has a consistent global vibration mode. In accompanying with the macro vibration, micro buckles occur on the interfaces of the delamination with amplitude about 10(−3) times of that of the global mode. It is found that the vibration frequency is an eigenvalue of the delaminated lamina determined only by the geometry of the delamination. Authentication of the multiscale study is fulfilled by comparing the analytical solutions with the FEA results. Nature Publishing Group UK 2017-06-30 /pmc/articles/PMC5493714/ /pubmed/28667293 http://dx.doi.org/10.1038/s41598-017-04570-3 Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Xue, Jianghong Xia, Fei Ye, Jun Zhang, Jianwen Chen, Shuhua Xiong, Ying Tan, Zuyuan Liu, Renhuai Yuan, Hong Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces |
title | Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces |
title_full | Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces |
title_fullStr | Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces |
title_full_unstemmed | Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces |
title_short | Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces |
title_sort | multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5493714/ https://www.ncbi.nlm.nih.gov/pubmed/28667293 http://dx.doi.org/10.1038/s41598-017-04570-3 |
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