The paper describes research on the effectiveness of technical solutions in the field of safety systems, particularly bollards, using mathematical modeling of vehicle collisions with these elements. Key aspects include the use of detailed mathematical models of vehicles developed by the international scientific community CCSA and implemented in the software suite LS-Dyna. The detailed models of vehicles are presented, taking into account construction and mass, including suspension and wheels. Collision modeling of a vehicle with a bollard is carried out, considering four bollard sizes with different design parameters. The flexibility of the bollard attachment to the refuge is not considered in the calculations. For all scenarios, the assumption of disconnecting the vehicle’s engine from the transmission and the rotational movement of the wheels at the moment of collision is made. The paper uses an explicit method of integrating general dynamics equations and the finite element method to calculate mechanical parameters. The interaction between the vehicle and the bollard is modeled by contact interaction, implemented by the penalty function method. Additionally, anti-ram functions of the refuge and the gravitational force for the center of mass of the model are taken into account.