液滴撞击弹性悬臂梁行为的全拉格朗日数值方法

Given that the influence of elastic substrate deformation on the impact of droplets on the substrate has tended to be overlooked in previous studies and the traditional mesh method is susceptible to mesh distortion in simulating large deformations of free surfaces and the coupling of elastic bodies, a fully Lagrangian numerical method for droplet-elastic body interaction is proposed, combining the moving particle semi-implicit (MPS) method with the discrete element method (DEM). Through this method, nonlinear phenomena such as the springboard effect, droplet rebound and spreading, plate deformation, and vibration are simulated. The accuracy of the method is validated through comparisons with experimental or theoretical results. Additionally, an in-depth analysis of the dynamic process of droplet impact on a cantilevered thin plate is conducted, focusing on the influence of impact velocity and angle on the interaction between the droplet and the thin plate. Numerical results indicate that the maximum deflection at the end of the cantilever beam linearly increases with the normal impact velocity. When the droplet impact angle Θ is greater than 90°, the contact time initially decreases, then increases, and eventually decreases as the impact angle increases. Conversely, when the impact angle Θ is less than 90 degrees, the contact time initially increases and then decreases as the impact angle increases. The spreading coefficient of the droplet and the maximum deflection of the cantilever beam are predominantly influenced by the position of the droplet's center of mass projection. Under the same normal Weber number conditions, the droplet spreading coefficient is always greater for Θ≥ 90° than for Θ<90° and the maximum deflection of the cantilever beam is always greater for Θ<90° than for Θ≥90°. This study enhances the understanding of droplet impact dynamics and can provide insights for coating processes, droplet sensing technology, and other related fields.