Wave propagation analysis of magneto-electro-thermo-elastic nanobeams using sinusoidal shear deformation beam model and nonlocal strain gradient theory

Document Type: Invited by Hamid Ahmadian

Authors

1 School of Mechanical Engineering, Iran University of Science and Technology, Narmak, 16765-163, Tehran, Iran

2 Associate Professor, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, 16765-163, Tehran, Iran

10.22064/tava.2020.104267.1128

Abstract

The main goal of this research is to provide a more detailed investigation of the size-dependent response of magneto-electro-thermo-elastic (METE) nanobeams subjected to propagating wave, employing sinusoidal shear deformation beam theory (SSDBT). With the aim to consider the size influences of the structure, the nonlocal strain gradient theory (NSGT) is utilized. Hamilton’s principle within constitutive relations of METE materials is incorporated to derive the
governing equations. Utilizing Maxwell’s relation and magnet-electric boundary conditions, proper distributions for magnetic and electric potentials along the nanobeam are obtained. Thereafter an exact analysis is used to obtain the axial and flexural dispersion relations of METE nanobeams. In numerical results, detailed investigations of wave dispersion behavior related to three modes are addressed. In addition, a relation is introduced to determine the cut-off frequency of the system. Moreover, the effectiveness of various parameters
including length scale and nonlocal parameters, nanobeam thickness, and the
loadings due to imposed thermo-electro-magnetic field on the response of
propagating wave in METE nanobeams are examined.

Highlights

  • Details of wave propagation in METE nanobeams is studied using both SSDBT and NSGT.
  • Hamilton’s law and METE constitutive relations are used to extract the equations.
  • The effects of applied loadings on properties of wave dispersion are investigated.
  • Effect of applied potentials on the second flexural mode dispersion is found minor.
  • Temperature change shows no considerable influence on wave dispersion relation.
  • Magnetic/electric potential has decrease/increase effect on the cut-off wave number.

Keywords

Main Subjects


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