 | | 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: | | 12788 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8028
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| In English (Mech. Solids): | | 4760 |
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| M. Mahaveer Sree Jayan and Lifeng Wang, "Hygrothermal-Magnetic Dynamics of Functionally Graded Porous Nanobeams on Viscoelastic Foundation," Mech. Solids. 59 (3), 1744-1773 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1744-1773 |
| DOI |
10.1134/S0025654424603756 |
| Title |
Hygrothermal-Magnetic Dynamics of Functionally Graded Porous Nanobeams on Viscoelastic Foundation |
| Author(s) |
M. Mahaveer Sree Jayan (State Key Laboratory of Mechanics and Control of Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016 China, mahaveersreejayan@gmail.com)
Lifeng Wang (State Key Laboratory of Mechanics and Control of Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016 China) |
| Abstract |
The study focuses on the application of Haar wavelet discretization method (HWDM) and
the differential quadrature method (DQM) to analyse the free vibration of a piezoelectric functionally
graded porous (FGP) curved nanobeam embedded in a Kelvin-Voigt viscoelastic foundation and subjected to a hygrothermal magnetic environment. The nanobeam is composed of aluminium (Al) as the metal constituent and alumina (Al2O3) as the ceramic constituent, with material properties changing
continuously along the thickness via a power-law distribution and described by an uneven porosity distribution. Base on Hamilton’s principle, grounded in quasi-3D higher-order shear deformation beam
theory and nonlocal elasticity theory is employed to derive the governing equation for the FGP curved
nanobeam. Pointwise convergence studies for HWDM and DQM have been conducted to exhibit the
effectiveness of the methods. The study incorporates a Winkler-Pasternak-Visco elastic foundation
model, assuming a Kelvin-Voigt-type viscoelastic foundation. Precision of the current model is effectively demonstrated through a comparative analysis of results obtained using both HWDM and DQM,
showcasing outstanding accuracy. A comprehensive exploration of the power-law exponent, porosity
volume fraction index, and thickness to material length scale parameter is undertaken to assess their
impact on the natural frequencies. The investigation encompasses various boundary conditions,
namely simply supported (S-S), clamped-clamped (C-C), clamped-free (C-F), and simply supported-free (S-F), elucidated with in-depth physical explanations. Additionally, mode shapes are
graphically presented to qualitatively evaluate the dynamics of the structural component. |
| Keywords |
Haar wavelet discretization method, quadrature method, functionally graded porous curved nanobeam, elastic foundation, power-law distribution, hygro-thermo-magnetic |
| Received |
10 May 2024 | Revised |
03 July 2024 | Accepted |
03 July 2024 |
| Link to Fulltext |
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