Wave dispersion characteristics of rotating heterogeneous magneto-electro-elastic nanobeams based on nonlocal strain gradient elasticity theory

Abstract

The coupled influences of shear deformation and angular velocity of a FG rotary nanobeam are going to be analyzed in the existence of external magnetic and electric fields. The effective material properties seem to be defined by the means of power law formulation. Moreover, the influences of small scale are included precisely in the framework of a nonlocal strain gradient theory. The magneto-electric potentials are supposed to vary through the thickness with a combination of linear and cosine approximations. Employing Hamilton’s principle, the nonlocal governing equations of magneto-electro-elastic functionally graded (MEE-FG) rotary size-dependent beams are derived in terms of displacement fields. Afterwards, the obtained governing equations are solved analytically to gather wave frequency, phase velocity, and escape frequency of the MEE-FG rotary nanobeam. The obtained results are validated with those of former researches. At the end, a numerical study is performed to show the influence of involved parameters on the wave propagation behaviors of MEE-FG rotary nanobeams.

Keywords:

• Wave propagation
• nonlocal strain gradient theory
• magneto-electro-elastic functionally graded materials
• angular velocity
• sinusoidal beam theory