 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| R. Selvamani, T. Prabhakaran, and Farzad Ebrahimi, "Doublet Structural Dynamics of Porous Euler Mass Sensor Nanobeam with Klein–Gordon Nonlocality," Mech. Solids. 60 (3), 2048-2069 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
2048-2069 |
| DOI |
10.1134/S0025654425600722 |
| Title |
Doublet Structural Dynamics of Porous Euler Mass Sensor Nanobeam with Klein–Gordon Nonlocality |
| Author(s) |
R. Selvamani (Department of Mathematics, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore, 641114 India, selvam1729@gmail.com)
T. Prabhakaran (Department of Mathematics, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore, 641114 India)
Farzad Ebrahimi (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, 3414896818 India) |
| Abstract |
This study investigates the doublet structural model for analyzing porous Euler mass sensor
nanobeams, incorporating the concept of doublet mechanics alongside Bernstein polynomials with
Klein–Gordon nonlocality. Bernstein polynomials serves as basis functions within the Rayleigh–Ritz method, facilitating conversional governing equations into a generalized eigenvalue problem. The
study further employs orthogonal Bernstein polynomials for enhanced computational precision.
By incorporating a mass sensor mechanism, the model leverages nanobeam sensitivity to detect small
mass variations for nanoscale applications. Additionally, the research examines variable material properties and a range of boundary conditions, with significant emphasis on the effects of frequency
parameter, normal stress, displacement, scaling effect parameter, beam length, doublet mechanics
parameter, nonlocal parameter and resonant frequency. To validate the results, a comparative analysis
is conducted, and the outcomes are tabulated to confirm the effectiveness of the approach. This
study’s results may be useful for the optimal and safety design of nano-lectro-mechanics systems. |
| Keywords |
Euler nanobeam, porosity, Bernstein polynomials, Doublet mechanics, Nanoscale mass-sensors, Rayleigh–Ritz method, Klein–Gordon Nonlocality |
| Received |
13 February 2025 | Revised |
22 April 2025 | Accepted |
23 April 2025 |
| Link to Fulltext |
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