Analysis of the Vibration Behaviors of Rotating Composite Nano-Annular Plates Based on Nonlocal Theory and Different Plate Theories
Rotating machinery has significant applications in the fields of micro and nano meters, such as nano-turbines, nano-motors, and biomolecular motors, etc. This paper takes rotating nano-annular plates as the research object to analyze their free vibration behaviors. Firstly, based on Kirchhoff plate...
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| Format: | Article |
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MDPI AG
2021-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/1/230 |
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| author | Haonan Li Wei Wang Linquan Yao |
| author_facet | Haonan Li Wei Wang Linquan Yao |
| author_sort | Haonan Li |
| collection | DOAJ |
| description | Rotating machinery has significant applications in the fields of micro and nano meters, such as nano-turbines, nano-motors, and biomolecular motors, etc. This paper takes rotating nano-annular plates as the research object to analyze their free vibration behaviors. Firstly, based on Kirchhoff plate theory, Mindlin plate theory, and Reddy plate theory, combined with nonlocal constitutive relations, the differential motion equations of rotating functionally graded nano-annular plates in a thermal environment are derived. Subsequently, the numerical method is used to discretize and solve the motion equations. The effects of nonlocal parameter, temperature change, inner and outer radius ratio, and rotational velocity on the vibration frequencies of the nano-annular plates are analyzed through numerical examples. Finally, the relationship between the fundamental frequencies and the thickness-to-radius ratio of the nano-annular plates of clamped inner and outer rings is discussed, and the differences in the calculation results among the three plate theories are compared. |
| first_indexed | 2024-03-10T03:50:37Z |
| format | Article |
| id | doaj.art-c474a08ade2c4bfb944937a4e156f3e9 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T03:50:37Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-c474a08ade2c4bfb944937a4e156f3e92023-11-23T11:09:45ZengMDPI AGApplied Sciences2076-34172021-12-0112123010.3390/app12010230Analysis of the Vibration Behaviors of Rotating Composite Nano-Annular Plates Based on Nonlocal Theory and Different Plate TheoriesHaonan Li0Wei Wang1Linquan Yao2School of Rail Transportation, Soochow University, Suzhou 215131, ChinaSchool of Rail Transportation, Soochow University, Suzhou 215131, ChinaSchool of Rail Transportation, Soochow University, Suzhou 215131, ChinaRotating machinery has significant applications in the fields of micro and nano meters, such as nano-turbines, nano-motors, and biomolecular motors, etc. This paper takes rotating nano-annular plates as the research object to analyze their free vibration behaviors. Firstly, based on Kirchhoff plate theory, Mindlin plate theory, and Reddy plate theory, combined with nonlocal constitutive relations, the differential motion equations of rotating functionally graded nano-annular plates in a thermal environment are derived. Subsequently, the numerical method is used to discretize and solve the motion equations. The effects of nonlocal parameter, temperature change, inner and outer radius ratio, and rotational velocity on the vibration frequencies of the nano-annular plates are analyzed through numerical examples. Finally, the relationship between the fundamental frequencies and the thickness-to-radius ratio of the nano-annular plates of clamped inner and outer rings is discussed, and the differences in the calculation results among the three plate theories are compared.https://www.mdpi.com/2076-3417/12/1/230nonlocal elasticity theoryrotating nano-annular platesKirchhoff plate theoryMindlin plate theoryReddy plate theory |
| spellingShingle | Haonan Li Wei Wang Linquan Yao Analysis of the Vibration Behaviors of Rotating Composite Nano-Annular Plates Based on Nonlocal Theory and Different Plate Theories Applied Sciences nonlocal elasticity theory rotating nano-annular plates Kirchhoff plate theory Mindlin plate theory Reddy plate theory |
| title | Analysis of the Vibration Behaviors of Rotating Composite Nano-Annular Plates Based on Nonlocal Theory and Different Plate Theories |
| title_full | Analysis of the Vibration Behaviors of Rotating Composite Nano-Annular Plates Based on Nonlocal Theory and Different Plate Theories |
| title_fullStr | Analysis of the Vibration Behaviors of Rotating Composite Nano-Annular Plates Based on Nonlocal Theory and Different Plate Theories |
| title_full_unstemmed | Analysis of the Vibration Behaviors of Rotating Composite Nano-Annular Plates Based on Nonlocal Theory and Different Plate Theories |
| title_short | Analysis of the Vibration Behaviors of Rotating Composite Nano-Annular Plates Based on Nonlocal Theory and Different Plate Theories |
| title_sort | analysis of the vibration behaviors of rotating composite nano annular plates based on nonlocal theory and different plate theories |
| topic | nonlocal elasticity theory rotating nano-annular plates Kirchhoff plate theory Mindlin plate theory Reddy plate theory |
| url | https://www.mdpi.com/2076-3417/12/1/230 |
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