Study on the multi-physical field coupling characteristics of nanoplate structures is an important theoretical basis for designing nanoelectromechanical systems with high sensitivity, small size and wide application range. This paper presents a novel model of circular nano-laminated plates containing piezoelectric layers and piezomagnetic layers with flexoelectric effect and flexomagnetic effect. By using the plate theory considering surface effect, the control equations for the bending and free vibration of circular nano-laminated plates under transverse mechanical and electromagnetic loads were established, and the equivalent axial force and equivalent bending moment of the circular nano-laminated plates were given. The analytical solutions of the bending deflection and natural frequency under different displacement boundary conditions were obtained. The influences of surface effect, flexoelectric effect, flexomagnetic effect and geometric parameters on bending deflection and natural frequency were discussed. It was found that the flexoelectric effect, flexomagnetic effect and surface effect have completely different influences on the bending of circular nano-laminated plates. The model, analytical solution and conclusion presented in this paper have significant theoretical significance and serve as a benchmark for the structural modeling, functional design and multi-field coupling performance analysis of such nanoscale laminated plate structures.
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