 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5184 |
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| Lin Li, Jiaxuan Wang, Zhuang Li, and Jiqi Huang, "The Effects of Porosity on the Vibration Behaviors of the Functionally Graded Spherical Nanoshells Using General Higher-Order Shear Deformation Theory," Mech. Solids. 60 (5), 3714-3729 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3714-3729 |
| DOI |
10.1134/S0025654425601776 |
| Title |
The Effects of Porosity on the Vibration Behaviors of the Functionally Graded Spherical Nanoshells Using General Higher-Order Shear Deformation Theory |
| Author(s) |
Lin Li (DongGuan Polytech, Intelligent Mfg Coll, Dongguan, 523808 China; Huazhong Univ Sci and Technol, State Key Lab Digital Mfg and Technol, Wuhan, 430074 China, lil@dgpt.edu.cn)
Jiaxuan Wang (Huazhong Univ Sci and Technol, State Key Lab Digital Mfg and Technol, Wuhan, 430074 China)
Zhuang Li (Huazhong Univ Sci and Technol, State Key Lab Digital Mfg and Technol, Wuhan, 430074 China)
Jiqi Huang (Huazhong Univ Sci and Technol, Tongji Med Coll, Wuhan, 430030 China) |
| Abstract |
This study examines the dynamic behavior of functionally graded spherical shallow
nanoshells with taking into acount the effects of porosity. Eringen’s nonlocal elasticity theory was utilized to adjust for the small-scale effects on the free vibration behaviors of the functionally graded
spherical shallow nanoshells. The governing equations are derived from a higher-order shear deformation theory and Hamilton’s preincple. These equations are subsequently solved by Navier’s closedform method to produce a reliable and accurate model. The present model’s accuracy and dependability are confirmed through in-depth case studies. This work is remarkable in that it presents a thorough
understanding of the free vibration responses in functionally graded spherical shallow nanoshells, all
while paying close attention to small-scale effects. The subsequent parameter study researches the
impacts of some factors on the free vibration characteristics of functionally graded spherical shallow
nanoshells, including aspect ratio, thickness ratio, graded index, and nonlocal parameter. This work
advances the discipline by providing a unique viewpoint on structural dynamics at the nanoscale. This
work is distinguished by the careful considering the impacts of the nonlocal parameter, which
advances the understanding of these complex systems and opens up new avenues for future advancements in micro/nanostructure design, testing, analysis, and optimization. |
| Keywords |
Functionally graded materials, spherical shells, higher-order deformation theory, nonlocal elasticity theory, nonlocal parameter, vibration |
| Received |
14 May 2025 | Revised |
27 May 2025 | Accepted |
17 June 2025 |
| Link to Fulltext |
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