Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced dielectric rotating beam with geometric imperfection
摘要
Functionally graded graphene nanoplatelet reinforced porous composites (FG-GNPRPCs) have demonstrated significant great potential in the field of advanced smart structures and materials. This paper systematically investigates the nonlinear dynamic behavior of FG-GNPRPC rotating beams subjected to damping, electric fields, and mechanical loads and initial geometric imperfections. Based on a two-stage hybrid micromechanical model, the equivalent material properties of the multi-phase composites are evaluated. Further, applying Hamilton’s principle, combined with Timoshenko beam theory and von Kármán geometric nonlinearity, the motion governing equations for the beam are derived. The obtained equations are discretized using the differential quadrature (DQ) method, and the incremental harmonic balance (IHB) method combined with the arc length algorithm is applied for efficient solution. The dependability and computational accuracy of the established model and its solution are verified through systematic comparison with existing research results. The results indicate that the centrifugal stiffening effect exhibits nonlinear enhancement at a voltage of 40 V and a rotating velocity of 1.5 × 105 rpm. Furthermore, the coexistence of geometric imperfections and pores can distort the distribution and transmission of the electric field within the structure.