 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Deliang Chen, Lu Zhou, and Xiongfeng Peng, "Comparative Study of Free Vibration for Carbon Nanotube-Reinforced Composite Plates Based on Various Higher-Order Plate Theories," Mech. Solids. 58 (5), 1828-1847 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
5 |
Pages |
1828-1847 |
| DOI |
10.3103/S0025654422600684 |
| Title |
Comparative Study of Free Vibration for Carbon Nanotube-Reinforced Composite Plates Based on Various Higher-Order Plate Theories |
| Author(s) |
Deliang Chen (School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha, 410114, China, deliang_chen@126.com)
Lu Zhou (Zoomlion Heavy Industry Science & Technology Co., Ltd., Changsha, 410114, China, 455630312@qq.com)
Xiongfeng Peng (School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha, 410114, China, 1147635112@qq.com) |
| Abstract |
A comparative investigation is made on the free vibration behavior of a carbon nanotube-reinforced composite (CNTRC) plate based on various higher-order shear deformation plate theories (HSDTs). For the CNTRC plates, uniformly distributed (Type UD) and functionally graded (Type Λ) reinforcements are considered where the material properties of CNTRC plates are assumed to be graded in the thickness direction and estimated through the rule of mixture. A set of unified nonlinear dynamics governing equations of the CNTRC rectangular plate considering different shear deformation function forms are established based on von Kármán-type geometric nonlinearity. Then by applying Galerkin discretization method, the nonlinear governing equations of a simply-supported CNTRC plate are simplified into a set of ordinary differential equations involving independent time variable. Finally by using the harmonic balance method, the influences of the parameters such as nanotube volume fraction, the plate width-to-thickness ratio and the plate aspect ratio on the natural frequencies and nonlinear free vibration behaviors of CNTRC plates with various higher-order plate theories are analyzed comparatively. |
| Keywords |
rectangular plate, carbon nanotube-reinforced composite, functionally graded, nonlinear, free vibration |
| Received |
09 June 2022 | Revised |
15 June 2023 | Accepted |
20 June 2023 |
| Link to Fulltext |
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