Dynamic Stability of Nanobeams Based on the Reddy’s Beam Theory
The dynamic stability of nanobeams has been investigated by the Euler-Bernoulli and Timoshenko beam theories in the literature, but the higher-order Reddy beam theory has not been applied in the dynamic stability evaluation of nanobeams. In this work, the governing equations of the motion and dynami...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-02-01
|
| Series: | Materials |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1944/16/4/1626 |
| _version_ | 1797619588837408768 |
|---|---|
| author | Youqin Huang Richeng Huang Jiachang Zhang |
| author_facet | Youqin Huang Richeng Huang Jiachang Zhang |
| author_sort | Youqin Huang |
| collection | DOAJ |
| description | The dynamic stability of nanobeams has been investigated by the Euler-Bernoulli and Timoshenko beam theories in the literature, but the higher-order Reddy beam theory has not been applied in the dynamic stability evaluation of nanobeams. In this work, the governing equations of the motion and dynamic stability of a nanobeam embedded in elastic medium are derived based on the nonlocal theory and the Reddy’s beam theory. The parametric studies indicate that the principal instability region (PIR) moves to a lower frequency zone when length, sectional height, nonlocal parameter, Young’s modulus and mass density of the Reddy nanobeam increase. The PIR shifts to a higher frequency zone only under increasing shear modulus. Increase in length makes the width of the PIR shrink obviously, while increase in height and Young’s modulus makes the width of the PIR enlarge. The sectional width and foundation modulus have few effects on PIR. |
| first_indexed | 2024-03-11T08:29:06Z |
| format | Article |
| id | doaj.art-1ed06a8d55d44f63a47c5b30db877eb0 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-11T08:29:06Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-1ed06a8d55d44f63a47c5b30db877eb02023-11-16T21:52:20ZengMDPI AGMaterials1996-19442023-02-01164162610.3390/ma16041626Dynamic Stability of Nanobeams Based on the Reddy’s Beam TheoryYouqin Huang0Richeng Huang1Jiachang Zhang2Research Centre for Wind Engineering and Engineering Vibration, Guangzhou University, Guangzhou 510006, ChinaResearch Centre for Wind Engineering and Engineering Vibration, Guangzhou University, Guangzhou 510006, ChinaResearch Centre for Wind Engineering and Engineering Vibration, Guangzhou University, Guangzhou 510006, ChinaThe dynamic stability of nanobeams has been investigated by the Euler-Bernoulli and Timoshenko beam theories in the literature, but the higher-order Reddy beam theory has not been applied in the dynamic stability evaluation of nanobeams. In this work, the governing equations of the motion and dynamic stability of a nanobeam embedded in elastic medium are derived based on the nonlocal theory and the Reddy’s beam theory. The parametric studies indicate that the principal instability region (PIR) moves to a lower frequency zone when length, sectional height, nonlocal parameter, Young’s modulus and mass density of the Reddy nanobeam increase. The PIR shifts to a higher frequency zone only under increasing shear modulus. Increase in length makes the width of the PIR shrink obviously, while increase in height and Young’s modulus makes the width of the PIR enlarge. The sectional width and foundation modulus have few effects on PIR.https://www.mdpi.com/1996-1944/16/4/1626dynamic instabilitynanobeamReddy beam theorynonlocal theoryelastic mediumparametric analysis |
| spellingShingle | Youqin Huang Richeng Huang Jiachang Zhang Dynamic Stability of Nanobeams Based on the Reddy’s Beam Theory Materials dynamic instability nanobeam Reddy beam theory nonlocal theory elastic medium parametric analysis |
| title | Dynamic Stability of Nanobeams Based on the Reddy’s Beam Theory |
| title_full | Dynamic Stability of Nanobeams Based on the Reddy’s Beam Theory |
| title_fullStr | Dynamic Stability of Nanobeams Based on the Reddy’s Beam Theory |
| title_full_unstemmed | Dynamic Stability of Nanobeams Based on the Reddy’s Beam Theory |
| title_short | Dynamic Stability of Nanobeams Based on the Reddy’s Beam Theory |
| title_sort | dynamic stability of nanobeams based on the reddy s beam theory |
| topic | dynamic instability nanobeam Reddy beam theory nonlocal theory elastic medium parametric analysis |
| url | https://www.mdpi.com/1996-1944/16/4/1626 |
| work_keys_str_mv | AT youqinhuang dynamicstabilityofnanobeamsbasedonthereddysbeamtheory AT richenghuang dynamicstabilityofnanobeamsbasedonthereddysbeamtheory AT jiachangzhang dynamicstabilityofnanobeamsbasedonthereddysbeamtheory |