Analytical solutions are presented to study the thermo-electro-mechanical vibration problem of functionally graded piezoelectric materials’ nanoscale rectangular plates based on the size-dependent Kirchhoff plate theory. The plate is under an applied electric voltage, a biaxial force, and a uniform temperature rise. The material properties vary continuously along the thickness direction. To check the validity of the method, the results are compared with the results obtained in previous studies for the special cases. Finally, a parametric study is accompanied to survey the effects of the gradient index, length scale parameter, length-to-thickness ratio, external electric, and temperature change on the vibration of functionally graded piezoelectric nanoplates.
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