 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| Jing Wang, Shengcheng Liou, Shen Qu, Hongjie Liang, and Yanglan Yu, "Study on the Scale Effect of Nonlinear Vibration of Axial Motion Micro/Nano Plates Based on Nonlocal Strain Gradient Theory," Mech. Solids. 60 (4), 3145-3167 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
3145-3167 |
| DOI |
10.1134/S0025654425600928 |
| Title |
Study on the Scale Effect of Nonlinear Vibration of Axial Motion Micro/Nano Plates Based on Nonlocal Strain Gradient Theory |
| Author(s) |
Jing Wang (Southwest Petroleum University, School of Mechanical Engineering, Chengdu, 610500 China; Southwest Petroleum University, National Key Laboratory of Reservoir Geology and Development Engineering, Chengdu, 610500 China)
Shengcheng Liou (Southwest Petroleum University, School of Mechanical Engineering, Chengdu, 610500 China; Southwest Petroleum University, National Key Laboratory of Reservoir Geology and Development Engineering, Chengdu, 610500 China)
Shen Qu (Southwest Petroleum University, School of Mechanical Engineering, Chengdu, 610500 China; Southwest Petroleum University, National Key Laboratory of Reservoir Geology and Development Engineering, Chengdu, 610500 China)
Hongjie Liang (Southwest Petroleum University, School of Mechanical Engineering, Chengdu, 610500 China; Southwest Petroleum University, National Key Laboratory of Reservoir Geology and Development Engineering, Chengdu, 610500 China)
Yanglan Yu (Southwest Jiaotong University, School of Mechanics and Aeronautics, Chengdu, 611756 China, Yuyingying1999@126.com) |
| Abstract |
The study of the mechanical behavior of micro-nano materials and structures is one of the
main topics and frontier areas in current nanoscience. Under this demand challenge, this paper
focuses on a two-dimensional nano-thin plate with axial velocity, establishing a model based on the
nonlocal strain gradient theory. The analysis is primarily based on non-classical continuum theory,
and the dynamic mechanical behavior and stability of the axially moving nano-plate are studied using
numerical methods such as the complex modal method and multiscale method. Considering different
boundary conditions, the intrinsic frequency and critical speed of the linear derived system are analyzed. The influence of thin plate deformation is further considered, introducing nonlinear terms.
Numerical simulation results show that the vibration frequency of the system changes due to nonlinear effects. Moreover, this frequency variation is closely related to the scale parameters. This research can provide theoretical support for the design and application of nano-components. |
| Keywords |
nonlocal strain gradient theory, axially moving micro-plate, scale effects, nonlinearity |
| Received |
28 February 2025 | Revised |
07 May 2025 | Accepted |
07 June 2025 |
| Link to Fulltext |
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