Study of simultaneous collisions in agricultural machinery and technology

The paper discusses the process of solid body collisions involving simultaneous multipoint contact, which often occurs in agricultural machinery and related technologies. An analytical method is being developed to study such multiple-impact events, which can be applied to dynamic analyses of various high-speed production equipment and technological processes. The method is grounded in the fundamental laws of mechanics and limitations of object motion, utilizing an integral approach to determine impact parameters. Key examples illustrate the application of the proposed method to translational motion, and an analytical approach is presented for determining the rebound velocity of an object subjected to simultaneous impacts at multiple points. This approach requires prior knowledge of the pre-collision velocity, momentum restitution coefficients, and local linear elasticity coefficients at the points of contact. It also demonstrates how impact duration and average impact force can be estimated using local stiffness values and the object's mass. In cases involving rotational motion with straight thrust pulses at specified points, the rebound angular velocity is derived as a function of the initial angular velocity and the restitution coefficients. It is noted that the analysis remains applicable regardless of the number of collision points.