Investigating dynamic response of porous inhomogeneous nanobeams on hybrid Kerr foundation under hygro-thermal loading

Abstract

This paper is concerned with the forced vibration analysis of imperfect functionally graded (FG) nanobeams resting on three-parameter Kerr foundation under hygro-thermal loading employing a higher order refined beam theory. The nanobeam is subjected to dynamic uniform distributed and concentrated point loads at upper surface. Hygro-thermo-elastic material properties of FGM nanobeam vary in thickness direction according to the power-law distribution. Implementing an analytical approach, the obtained nonlocal coupled governing equations from Hamilton’s principle according to refined beam model are solved for simply supported and clamped boundary conditions. The significance of moisture percentage, temperature change, material gradation, scale parameter, Kerr foundation coefficients and boundary conditions on forced vibration characteristics and resonance frequencies of FG nanobeam are examined.