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On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk

Safarpour, M ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1007/s00366-020-00949-5
  3. Publisher: Springer , 2020
  4. Abstract:
  5. This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, θ, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. © 2020, Springer-Verlag London Ltd., part of Springer Nature
  6. Keywords:
  7. Multi-scale hybrid nanocomposites ; Nonlinear frequency characteristics ; Nonlinear temperature gradient ; Perturbation method ; Uncertainty analysis ; Von Karman-type geometry nonlinearity ; Axial loads ; Carbon nanotubes ; Differentiation (calculus) ; Dynamic response ; Equations of motion ; Nanocomposites ; Plates (structural components) ; Reinforced plastics ; Reinforcement ; Shear deformation ; Thermal gradients ; Hybrid nanocomposites ; Nonlinear frequency ; Von Karman ; Perturbation techniques
  8. Source: Engineering with Computers ; 2020
  9. URL: https://link.springer.com/article/10.1007/s00366-020-00949-5