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Smart laminates with an auxetic ply rested on visco-Pasternak medium: Active control of the system’s oscillation

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Abstract

The time-dependent viscoelastic deflection characteristics of laminated composite structures consisted of an auxetic core respectively surrounded by piezoelectric and gold layers in bottom and top are studied in this paper for the first time. The material properties of the auxetic ply are achieved using a micromechanical scheme. The kinematic motion equation of the thin-walled plate, rested on a three-parameter viscoelastic medium, are then derived by inserting the displacement field of the Kirchhoff–Love plate theorem into the dynamic form of the principle of virtual work. The final governing equation of the dynamic problem is obtained by adding the constitutive equations of the laminate in the plate’s motion equation. The main objective of this project is to investigate the significant role of piezoelectric and auxetic layers’ thicknesses in the determination of the viscoelastic deflection-time curve of the system. Although the proportional active control system can manipulate the system’s fluctuation, it is reported that the damping coefficient of the visco-Pasternak substrate can act as an efficient passive damper.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

    Farzad Ebrahimi & Reza Nopour

  2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

    Ali Dabbagh

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  1. Farzad Ebrahimi
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Ebrahimi, F., Nopour, R. & Dabbagh, A. Smart laminates with an auxetic ply rested on visco-Pasternak medium: Active control of the system’s oscillation. Engineering with Computers 39, 221–231 (2023). https://doi.org/10.1007/s00366-021-01533-1

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