Нелінійні коливання елементів легкоброньованих машин: модельні задачі та якісні особливості

Abstract

The resolving relationships are given in the paper for the dynamic processes analysis in elements of lightly armored vehicles. A model problem of oscillations under the action of a periodic disturbing force is considered for the example of a two-mass system. The features of the steady-state excited motion are determined in the presence of a nonlinear elastic characteristic of the compounds of investigated system elements. In particular, it is established that subharmonic oscillatory modes of different multiplicity can be realized. It is proposed to introduce a numerical index of periodicity for determining the multiplicity of the subharmonic mode. This indicator illustrates the measure of the deviation of the steady-state mode from a periodic with a different duration of the period. Typical phase portraits of the system are given. Areas of parameters are established in which steady-state subharmonic mode of different multiplicity are realized.