▎ 摘　　要

Purpose This study aims to perform the free vibration analysis of the graphene platelets reinforced piezoelectric cylindrical micro-shells with various boundary conditions. Methods The first shear deformation and modified couple stress theories are implemented to achieve the governing equations of motion. The Ritz method with Chebyshev polynomials is employed to obtain the natural frequencies of the piezoelectric cylindrical micro-shells for different boundary conditions. Results The effects of boundary conditions, the weight fraction, the distribution pattern, the material length scale parameter, the thickness of the piezoelectric layers, the length to radius ratio, the thickness to radius ratio, temperature change and the applied voltage on the natural frequency of the graphene platelets reinforced piezoelectric cylindrical micro-shell are examined. Conclusions The results show that the natural frequency of the piezoelectric GPL cylindrical micro-shell depends on W-GPL.