Acta Mechanica

, Volume 230, Issue 12, pp 4235–4255 | Cite as

Free vibration analysis of laminated composite conical shells reinforced with shape memory alloy fibers

  • Morteza Nekouei
  • Mehdi RaghebiEmail author
  • Meisam Mohammadi
Original Paper


In the present paper, for the first time the vibration behavior of hybrid composite conical shells reinforced with shape memory alloy (SMA) fibers is investigated. The temperature-dependent properties of SMA fibers and composite are accurately considered. Using the one-dimensional constitutive law of Brinson, thermo-mechanical properties such as recovery stresses, elasticity modulus and shear modulus with uniform temperature change are calculated for SMA fibers. Love’s first approximation classical shell theory with von-Kármán type of geometrical nonlinearity is used in conjunction with Hamilton’s principle for deriving the equations of motion. A semi-analytical solution is presented so that trigonometric functions are applied in the circumferential direction, and the generalized differential quadrature method is used to discretize the equations of motion along the longitudinal direction. Finally, parametric studies are done to investigate the effects of volume fraction, pre-strain, location of SMA fibers, boundary conditions, semi-vertex angle of the cone, and temperature on the vibration characteristics of the SMA hybrid composite conical shells. It is shown that a proper utilization of SMA fibers significantly increases the fundamental frequency and vibration control of the SMA hybrid composite conical shells.



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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019
corrected publication 2019

Authors and Affiliations

  • Morteza Nekouei
    • 1
  • Mehdi Raghebi
    • 1
    Email author
  • Meisam Mohammadi
    • 2
  1. 1.Department of Mechanical EngineeringUniversity of BirjandBirjandIran
  2. 2.Department of Mechanical EngineeringVali-e-Asr University of RafsanjanRafsanjanIran

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