 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| Zhong Chen, Rongguo Zhao, Jingxiang Wu, and Nan JI, "Timoshenko Beam Theory for Buckling of Nanocolumn Free-Standing on an Elastic Substrate," Mech. Solids. 57 (3), 644-651 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
3 |
Pages |
644-651 |
| DOI |
10.3103/S0025654422030104 |
| Title |
Timoshenko Beam Theory for Buckling of Nanocolumn Free-Standing on an Elastic Substrate |
| Author(s) |
Zhong Chen (College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China)
Rongguo Zhao (College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China; Key Laboratory of Dynamics and Reliability of Engineering Structures of College of Hunan Province, Xiangtan University, Xiangtan 411105, China, zhaorongguo@xtu.edu.cn)
Jingxiang Wu (College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China; Key Laboratory of Dynamics and Reliability of Engineering Structures of College of Hunan Province, Xiangtan University, Xiangtan 411105, China)
Nan JI (College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China) |
| Abstract |
In this paper, the buckling behaviour of a nanocolumn on an elastic substrate is studied by utilizing the Timoshenko beam theory. The governing equations considering self-weight are derived. The boundary conditions containing the rotational spring stiffness are given, and the Galerkin method is used to solve the numerical solution of the governing equations. The influence of the elastic substrate on the buckling of a nanocolumn is discussed. Compared with the Euler-Bernoulli beam theory, the numerical results obtained by the Timoshenko beam theory can more accurately describe the influence of self-weight on buckling. Simultaneously, the shear force significantly influences the buckling of the nanocolumn as the stiffness of the elastic substrate is significant. |
| Keywords |
Timoshenko beam theory, buckling, critical length, elastic substrate, self-weight |
| Received |
04 November 2021 | Revised |
12 January 2022 | Accepted |
21 January 2022 |
| Link to Fulltext |
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