The experience of peacekeeping and other military operations shows the growing role of the combat-wheeled vehicles. However, the combat-wheeled vehicles suspension for the base for which a chassis of a serial wheeled vehicle was selected with the armored corps in it does not fully protect the personnel from dynamic overloads while driving with significant irregularities or cross-country terrain. The armored corps causes a significant increase in the weight of the sprinkled part and so a static deformation of elastic shock absorbers, and also a number of operational features. In order to overcome the above-mentioned disadvantages we modernize the system of sprinkling using the shock absorbers with nonlinear (progressive or regressive) characteristics for such combat-wheeled vehicles. However, the influence of the nonlinear force characteristics of the combat-wheeled vehicles’ system of sprinkling on the shooting efficiency on the move from stationary mounted small arms are not investigated due to a number of reasons. They relate to the construction and investigation of the solutions to the nonlinear differential equations, which are the mathematical models of the combat-wheeled vehicles’ motion.In this paper, we investigate the influence of the power characteristics of the system of sprinkling of combat-wheeled vehicles on the transverse oscillations of the sprinkled part, and on the shooting efficiency on move from the stationary mounted small arms. The basis for the determining of these characteristics serve the differential equation of the sprinkled part’s perturbed motion. We use the Van der Pol method, adapted to strongly nonlinear differential equations for its integration.It is shown that the magnitude of the dispersion caused by the indicated oscillations of the sprinkled part increases, and in the case of the progressive power characteristic of elastic shock absorbers during the motion along the path with single irregularities the value of the scattering region is greater than that of the regressive one.