 | | 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
|
| In English (Mech. Solids): | | 5065 |
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| S.A. Hosseini, M. Eghbali, and A. Soltani, "Accelerated Harmonic Moving Force on FG Porous Nano-Beam by Using Nonlocal Strain Gradient Theory in Thermal Environment: A New Approach," Mech. Solids. 60 (3), 2119-2134 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
2119-2134 |
| DOI |
10.1134/S0025654424606517 |
| Title |
Accelerated Harmonic Moving Force on FG Porous Nano-Beam by Using Nonlocal Strain Gradient Theory in Thermal Environment: A New Approach |
| Author(s) |
S.A. Hosseini (Buein Zahra Technical University, Buein Zahra, Qazvin, Iran, hosseini@bzte.ac.ir)
M. Eghbali (Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran, m_eghbali@alumni.znu.ac.ir)
A. Soltani (Buein Zahra Technical University, Buein Zahra, Qazvin, Iran, soltani@bzte.ac.ir) |
| Abstract |
The present work investigates the forced vibrations of a functionally graded (FG) nanobeam by considering the harmonic moving force with constant acceleration and initial velocity. There
is no exact solution to the vibrations of nano-beam with accelerated harmonic moving force, so the
main purpose of this paper is to provide a method to obtain an accurate solution for nanoscale structures under accelerated harmonic moving force. For this purpose, the equations governing nano-beam
vibrations of an FG porous with the Hamilton principle are extracted by considering Euler Bernoulli’s
beam theory and using the nonlocal strain gradient theory. By applying the Galerkin method, partial
equations are converted to differential equations. The Laplace transform method is used to solve the
differential equations. An exact solution of the temporal response for FG nano-beam under harmonic
motility with constant acceleration and initial velocity in the presence of temperature is obtained. The
results section investigates the effect of various parameters such as excitation frequency, power law
index, temperature, porosity, and changes in moving force acceleration on the maximum dynamic displacement of nano-beam. The simultaneous effect of nonlocal parameters and dimensionless longitudinal scale on maximum dynamic displacement has also been studied. For the accuracy of the
results, the natural frequency of the nano-beam is compared with previous research work. The innovation of the presented article is in providing an accurate solution using the Laplace method to analyze
the forced vibrations of a porous nano-beam with an accelerated harmonic dynamic force, which has not been done so far. |
| Keywords |
nanobeam, analytical solution, thermal environment, harmonic moving load, force vibrations, porous material |
| Received |
16 November 2024 | Revised |
19 April 2025 | Accepted |
27 April 2025 |
| Link to Fulltext |
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