Introduction of additional inertial couplings in mathematical models of problems of vibration protection and vibration isolation

Abstract

The article considers forced vibrations of a four-axle vehicle with a double spring suspension. The motion of a system with six degrees of freedom can be represented with sufficient accuracy by a system with two degrees of freedom. Therefore, the vehicle body has two degrees of freedom: lateral motion and wabbling, bouncing and pitching of trolleys will be neglected. The total number of degrees of freedom of the model is two. A method that leads to a closed solution for steady-state oscillations is considered. As a result of the research, differential equations of motion of the system were generated and an analytical solution was obtained for the case of application of an external piecewise constant driving force.