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Vibration Analysis of Truncated FG Conical Sandwich Shell With Electrorheological Fluid Layer

Oveisi Fardouei, Masoud | 2023

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 57393 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Haddadpour, Hassan
  7. Abstract:
  8. In this thesis, free vibrations of a three-layer conical shell with two FG layers and an electrorheological intermediate layer have been investigated. Also, the effects of electrical field and the FG power index that a constant related to the composition of the FG material in the shell vibration parameters (natural frequency, damping and mode shapes) have been investigated. For modeling the viscoelastic behavior in the electrorheological material, the Kelvin-Voight model and for modeling shell structure the FSDT shell model was employed. Also, in order to obtain the displacement field in the middle layer, a suitable assumption for continuity between different layers of the shell has been considered. The shell vibration’s differential equations have been obtained by implementing Hamilton's principle and have been solved the obtained equations by applying the GDQ method that is a strong method for solve differential equations and convert them to algebraic equations. The PDE system of equations convert to an eigenvalue problem by implementing GDQ method. The eigenvalue analysis has been done to obtain the natural frequency and damping values by change in applied electrical field and measuring the composition of the FG layers in the shell. Finally, the effects of the electrical field and FG power law and several geometrical parameters on the natural frequency and damping of the shell have been investigated and the vibration mode shapes have been extracted. Also, a study has been conducted on the convergence of the GDQ method in the investigation of the vibrations of the conical shell. The results obtained in this thesis have been evaluated and verified by several comparisons with similar researches
  9. Keywords:
  10. Damping ; Electrorheological Material ; Kelvin-Voigt Model ; Hamilton's Principle ; Natural Frequency ; Generalized Diffrential Quadrature ; First Order Shell

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