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Vibration analysis of graphene sheets resting on the orthotropic elastic medium subjected to hygro-thermal and in-plane magnetic fields based on the nonlocal strain gradient theory.
- Source :
- Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science (Sage Publications, Ltd.); Jul2018, Vol. 232 Issue 13, p2469-2481, 13p
- Publication Year :
- 2018
-
Abstract
- This paper develops a nonlocal strain gradient plate model for vibration analysis of the graphene sheets under in-plane magnetic field and hygro-thermal environments. For more accurate analysis of the graphene sheets, the proposed theory contains two-scale parameters related to the nonlocal and strain gradient effects. The graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton's principle. Galerkin's method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as moisture concentration rise, temperature rise, nonlocal parameter, length scale parameter, elastic foundation, and magnetic field on vibration characteristics of the graphene sheets are examined. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09544062
- Volume :
- 232
- Issue :
- 13
- Database :
- Complementary Index
- Journal :
- Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science (Sage Publications, Ltd.)
- Publication Type :
- Academic Journal
- Accession number :
- 130731127
- Full Text :
- https://doi.org/10.1177/0954406217720232