Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams

摘要: Abstract In this paper, thermal and shear deformation effects on the vibrational response of non-homogeneous microbeams made functionally graded (FG) materials are carried out. It is assumed that temperature-dependent material properties FG change smoothly gradually throughout height according to classical rule mixture. The governing differential equations related boundary conditions derived by implementing Hamilton's principle basis hyperbolic beam modified couple stress theories they analytically solved. results given together with other theories. A detailed parametric study performed indicate influences slenderness ratio, length scale parameter, gradient index, correction factors temperature rise natural frequencies microbeams. revealed use factor can provide more accurate valid for first-order deformable microbeam model.