Interpartial connections in mechanical oscillatory systems with two degrees of freedom: possibilities for dynamic condition formation

Abstract

The purpose of the work is to develop methodological positions in the technologies of building mathematical models of mechanical oscillatory systems with additional ties implemented by various mechanisms. Consideration is given to the possible forms of structural and technical solutions in the problems of evaluation and control of dynamic states of technological and transport machines. Research methods are based on the use of the analytical apparatus of structural mathematical modeling and the theory of automatic control. The scientific novelty of the research lies in the detailed description of the influence of interpartial connections on the dynamic properties of the system as a whole. The method of constructing mathematical interaction models is developed on the basis of introduction and use of transfer functions of interpartial connections. The paper presents new scientific results reflecting the features of dynamic properties introduced by additional ties and the results of computer simulation. The work is of interest to the specialists in the field of mechanical engineering, dynamics and strength of machines. Analytical relations are obtained that determine the formation features of amplitude distribution of oscillations of "working bodies" points along their length.