▎ 摘　　要

The present article studies the two phase local/nonlocal deformation of thermo electrical composite nanobeam reinforced with graphene oxide powder (GOP). The controlling equation of motion and boundary conditions are derived via two phase elasticity in differential form in conjunction with Hamilton's principle and Euler-Bernoulli beam theory. The effect of a thermal and piezo electric field is incorporated with the governing equations by convoluting field quantities and displacement components. Then, Navier method is adopted to observe the influence of simply supported boundary conditions on the dynamics of the beam. Comparison studies are performed to display the accuracy and efficiency of this analytical model. Further, the effects of GOP weight fraction, two phase parameter, external electric voltage and temperature difference on the dimensionless frequency of GOP reinforced piezo thermo elastic composite beams are thoroughly investigated and highlighted through tables and dispersion curves. The results obtained from the present work gained the important role of GOP and thermo- piezoelectricity in predicting the vibration behaviors of two phase local/ nonlocal nanostructures.