https://doi.org/10.1140/epjp/s13360-023-04405-3
Regular Article
Piezoelectrically controlled wave propagation in laminates with auxetic core: Transient analysis incorporated with electrical stability monitoring
1
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
2
Faculty of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran
3
Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
Received:
16
August
2021
Accepted:
21
August
2023
Published online:
12
September
2023
In this paper, a combination of mechanics- and control-based frameworks are employed for the purpose of probing the actively controlled acoustic wave propagation behaviors of smart three-layered laminated composite beams with an auxetic core for the first time. The material properties of auxetic ply are achieved using an analytical micromechanical scheme. Afterward, the kinematic motion equation of thin-walled beams, rested on a viscoelastic medium, is assessed by inserting the displacement field of the classical beam theorem into the dynamic form of the virtual work’s principle. Afterward, the problem is solved in both temporal and spatial domains with the help of the separation of the variables. Once the spatial part of solution is inserted into the governing equation, a time-dependent nonlinear dynamic equation will be reached whose solution over the time domain will be extracted using the perturbation technique. Thereafter, the stability analysis will be carried out according to the Lyapunov method. The highlights of this work indicate the significant role of the thicknesses of piezoelectric and auxetic layers on the stability region of the smart laminate. Indeed, the system moves toward being stabilized when the thickness of the auxetic layer is increased. Similarly, an increase in the thickness of the piezoelectric layer stabilizes the waveguide.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
