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On vibration of bi-directional functionally graded nanobeams under magnetic field

    1. [1] University of Guilan

      University of Guilan

      Irán

    2. [2] Yasouj University

      Yasouj University

      Irán

    3. [3] University of Tehran

      University of Tehran

      Irán

    4. [4] Yasuj University of Medical Sciences
  • Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 50, Nº. 2, 2022, págs. 468-485
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • In this article, the transverse vibrations of bi-directional functionally graded (FG) nanobeams subjected to a longitudinal magnetic field are investigated. The nonlocal elasticity theory is exploited to consider the small-scale effect. Material properties of FG nanobeam are assumed to vary continuously along the thickness and length with arbitrary function. The equations of motion and boundary conditions are obtained using Hamilton’s principle. These equations are solved by employing the generalized differential quadrature method. The effect of different parameters such as bi-directional FG parameters, size-dependent parameter, and value of the magnetic field on vibration are investigated. It is concluded that different factors as notated, play significant roles in the vibrational response of bidirectional FG nanobeams, and by using the magnetic field, the vibration frequencies of nanostructures can be controlled.


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