Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory

Bending and Vibration Analysis of Curved FG Nanobeams via Nonlocal Timoshenko Model

“…Functionally Graded Materials (FGM) have this characteristic which has made them to be largely used in various shape in numerous industries [2,24,25] .The free vibration of piezoelectric FG beams with rectangular cross sections in pre/post-buckling regimes is analyzed by Komijani et al [26] based on Timoshenko beam theory. Elather et al analyzed the static-buckling behavior of functionally graded nanobeams as a core structure of micro and nano electro mechanical systems.…”

Bending Analysis of A Cantilever Nanobeam With End Forces By Laplace Transform

“…Many research papers correlated to nonlocal continuum theories have been addressed the small scale effects in nanostructures and apply these higher order elasticity theories to determine the mechanical behavior of nanostructures, see Refs. [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Free Vibration Analysis of Functionally Graded Nanobeams Based on Different Order Beam Theories Using Ritz Method

“…Eltaher et al [20] studied the free vibration nanobeams using the finite element method. O. Rahmani et al [21] examined the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory.…”