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Instability in the world makes it necessary to strengthen the military security of countries by modernizing armies, increasing armaments, using innovative technologies, which requires an increase in military expenditures. Such measures necessitate the restructuring of the economy, reformatting of business in various branches of economic activity. And this question becomes relevant not only in those countries that are involved in the war, but also in neighboring countries and countries that have an influence on the world economy and politics.

The methodology of research of the influence of the degree of loading, kinematic parameters of movement, and nonlinear power characteristics of elastic elements and shock-absorbers of the suspension system on their steerability on curved sections of the road is developed. The research is based on the equation of kinetostatics of the system of sprung-unsprung part and differential equations that relate the motion of the sprung part of vehicles. Concerning the last, they take into account both loading of a vehicle and nonlinear-elastic characteristics of shock-absorbers.

Dynamic model for research of object transportation location influence on its vibrating loading by moving through a number of single obstacles, road with random microprofile and rough road is offered. Differential equations and methods of their integration in MATLAB Simulink software product are presented. The values of frequencies and amplitudes of vertical oscillations, vibration acceleration of the transportation object at different locations in the vehicle body were obtained.

The article substantiates the possibility of further improvement of highly effective interreonance oscillatory systems. To do this, it is proposed to apply a discrete-continuum oscillation system in which a third ultra-light mass is used as a body with distributed parameters (ultra-light weight).

Mathematical model of oscillations in the transverse and vertical space of trail of bitem and broken stone aggregate with independent torsions suspension with of motion warming up of bitems are developed.

The optimization model based on the criteria of energy efficiency of vibration systems is considered. This criterion is presented as the ratio of maximum of the working mass acceleration to consumption power of system. Optimization task is added of constraints that determine the technological aspects of vibrational resonant type - the width of the resonance zone, coefficient asymmetry of acceleration, maximum acceleration of the working mass. Searching of stiffness of asymmetric piecewise linear elastic properties at the basic of synthesis is entrusted.

In the article is an example of a vibrating hopper feeder full methodology described his design with the withdrawal of the main analytical dependencies that set the parameters of the system