Abstract
The article solves the problem of the impact of the load when loading a dump truck. The car is modeled by a rigid beam on two elastic supports of different stiffness with shock absorbers. The impact of the load is absolutely inelastic in the center of mass of the beam. The mathematical model of the car is based on the Lagrange equations of the 2nd kind in the form of a system of two inhomogeneous linear differential equations of small oscillations of the Beam-Load system. An analytical solution of this system is obtained in the form of the sum of two damped main oscillations, and expressions are obtained for the conditional amplitudes and phase shifts of the main oscillations, taking into account the initial conditions determined by the impact of the load. Based on the results obtained, an algorithm and a program for solving the problem were developed. A numerical experiment was performed on loading a BelAZ-7555B dump truck.
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