Nonlinear dynamic response of graphene platelets reinforced functionally graded dielectric beams

Abstract

Abstract: The nonlinear dynamic response of graphene platelets reinforced functionally graded (FG-GPLRC) beams under electric field is studied. Considering the dielectric effect, the content of graphene platelets (GPL) varies gradiently along the thickness direction of the beam in three distribution modes, and the equivalent elastic modulus and equivalent dielectric constant are calculated by the effective medium theory. Based on the von Kármán nonlinear strain-displacement relationship, the nonlinear dynamic governing equations are derived by Lagrange equation. The displacement approximation function is introduced to convert the equations into nonlinear ordinary differential equations by the Rayleigh-Ritz method, and the dynamic response is obtained by numerical solution of the Runge-Kutta method. The relationships between the nonlinear dynamic response of the FG-GPLRC beam under variable electric field and GPL volume fraction, distribution mode, GPL geometric size, pre-applied tensile stress, DC voltage, and AC frequency are discussed. Quantitative analysis shows that the dynamic response of FG-GPLRC beams can be designed by adjusting multiple parameters.

Key words: nonlinear dynamic response, graphene platelets reinforcement, functionally graded beam, dielectric effect

CLC Number:

O343

ZHANG Jing-hua, CHEN Zheng. Nonlinear dynamic response of graphene platelets reinforced functionally graded dielectric beams[J]. Journal of Lanzhou University of Technology, 2026, 52(1): 164-172.

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