 | | 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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| Rabaï Korondo, C.A. Moubeke, R.P. Lemanle Sanga, C. Adoukatl, and G.E. Ntamack, "Modelling the Non-Linear Dynamic Behaviour of a Laminated Composite Beam Made of Shape Memory Alloys Using the Multiple Time Scale Method," Mech. Solids. 60 (2), 1427-1445 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
1427-1445 |
| DOI |
10.1134/S0025654425600047 |
| Title |
Modelling the Non-Linear Dynamic Behaviour of a Laminated Composite Beam Made of Shape Memory Alloys Using the Multiple Time Scale Method |
| Author(s) |
Rabaï Korondo (Group of Mechanics, Materials and Acoustic (GMMA), Department of Physics, Faculty of Science, The University of Ngaoundéré, Ngaoundéré, Cameroon, korondorabai@gmail.com)
C.A. Moubeke (Group of Mechanics, Materials and Acoustic (GMMA), Department of Physics, Faculty of Science, The University of Ngaoundéré, Ngaoundéré, Cameroon, claudemoubeke01@gmail.com)
R.P. Lemanle Sanga (Group of Mechanics, Materials and Acoustic (GMMA), Department of Physics, Faculty of Science, The University of Ngaoundéré, Ngaoundéré, Cameroon, lemanlesanga@yahoo.fr)
C. Adoukatl (Group of Mechanics, Materials and Acoustic (GMMA), Department of Physics, Faculty of Science, The University of Ngaoundéré, Ngaoundéré, Cameroon, adoukatlchanceu302@gmail.com)
G.E. Ntamack (Group of Mechanics, Materials and Acoustic (GMMA), Department of Physics, Faculty of Science, The University of Ngaoundéré, Ngaoundéré, Cameroon, guyedgar@yahoo.fr) |
| Abstract |
In this work, the nonlinear dynamic behavior of a shape memory alloy (SMA) beam, stratified in axial motion and subjected to transverse harmonic excitation, is studied. The polynomial constitutive model of Falk based on Landau’s theory is used to describe the thermomechanical characteristics of the shape memory alloy in the beam. The behavior of the substrate is described by a linear elastic law. To account for the effects of axial motion, the dynamic evolution equation of the SMA
laminated beam is established from the physical equation, the force equilibrium conditions, the strain
compatibility equation, and the constitutive relation, using the SMA polynomial function combined
with the Galerkin procedure. The modulation equations near primary resonance are obtained using the second-order multiple time scales method. The effect of external and internal parameters on the
responses to transverse vibrations is discussed. The numerical results obtained show that the SMA-reinforced composite structure can be adapted to the environmental conditions by adjusting the phase
transition temperature and the thickness of the SMA layer. |
| Keywords |
shape memory alloy laminated beam, axial motion, transverse vibration, multiple time scale method |
| Received |
07 January 2025 | Revised |
21 March 2025 | Accepted |
22 March 2025 |
| Link to Fulltext |
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