The results of experimental and calculative estimation of elastic-plastic mechanics of bus body construction in conditions of rollover are presented. The dynamical behaviors of light commercial (LCV) bus structures are described. The analysis of approaches that could be used for estimation of buses passive safety is made. The results of experimental estimation of construction materials characteristics are described. The comparative analysis of the test experimental data and simulation results is presented..

The work is dedicated to the problem solution of prismatic bars torsion with a rectangular section by the finite element method with the use of standard and alternative serendipian models. By the solving of the inverse problem considering the precise value for maximum shear stress, the new improved models on the biquadratic and bicubic serendipian elements were received. By using new alternative models as well as standard models, the shear stresses in two dangerous points of section and the torque for different ratio of the rectangle’s sides were defined. The obtained results allow to solve various application problems of physical fields restoring occuedr in technical systems and objects by developing new mathematical models.