Mathematical Model for Study of Behavior of the Bodywork at Impact

Abstract

With the advances in computer hardware and software, designing programs have been developed, providing a variety of tools for designing modern structures. Each system used in designing structures is based on the fundamental notions of dynamics. Thus, with the help of the programs, many models can be analyzed, ranging from simple to complex models (simple spring-mass models, beam element models and finite element models). To analyze the behavior of the body structure to the frontal impact, a simple mathematical spring-mass model is proposed. The structural elements of the body will be approximated by concentrated mass points, corresponding to the subsystems, connected to each other by elastic elements (springs). The impact energy will be dissipated by the bonds between the elastic members and the mass points. The simple spring-mass model proved to be very useful in developing vehicle structures in the case of an impact. The method provides an easy way to study the vehicle’s impact behavior and provide directional guidance on sensitive areas.