基于解析法的低速冲击下复材薄壁圆柱壳动力学建模研究

Aiming at the problems of traditional finite element modeling with many black box operations, high computational costs, and no independent intellectual property rights, this paper establishes a fiber-reinforced composite under low-speed impact excitation based on the first-order shear deformation theory, the Von Kamen large deformation theory and the law of conservation of energy. Analytical model of impact characteristics of cylindrical shells under the fixed-supported boundary at both ends. By considering the impact delamination damage and the Hoffman failure criterion, the expression of impact contact force when each failure event occurs is deduced. Therefore, the impact contact force and load-displacement curves are successfully solved, with a feasible analysis process of low-velocity impact property being summarized. Finally, the proposed model are validated against the Abaqus finite element model with different laminate configuration and impact velocities being considered. It can provide a new idea and approach for predicting and evaluating the impact dynamics of other complex cylindrical shells with anisotropic characteristics.