Analysis of nonlinear vibration characteristics in all-composite honeycomb-core sandwich panel with material and geometric nonlinearity

This paper investigates the geometrically nonlinear vibration characteristics of all-composite honeycomb core sandwich panels (ACHCSP). The proposed theoretical model incorporates the higher-order shear deformation theory, Gibson equivalent theory, and Von Kármán’s large deformation theory to enhance its nonlinearity. The vibration equations are derived using both the orthogonal polynomial method and the energy method, while the vibration frequencies are obtained through solving the energy function. To ensure the model’s accuracy, parameters related to nonlinearity are calibrated. Subsequently, ACHCSP experimental specimens were meticulously prepared, followed by frequency sweep and resonant excitation experiments to rigorously validate the accuracy of the proposed theoretical model. The experimental results demonstrate that the proposed theoretical model possesses a remarkable capability to accurately predict the nonlinear vibration characteristics of ACHCSP, as evidenced by a maximum discrepancy of 5.64% between the theoretical calculations and pre-experimental results. In conclusion, this study investigated the impact of varying honeycomb layer thickness, honeycomb unit wall thickness, and honeycomb unit wall length on the nonlinear vibration characteristics of ACHCSP. The obtained results offer valuable insights with significant implications for both engineering applications and academic research.