Features of the manifestation of dynamic properties of interacting elements in chain structures
The proposed article develops a method for constructing mathematical models to display the dynamic states of technical objects in model problems of dynamics in which heuristic approaches and the corresponding methodological base are implemented. The aim of the article is to develop a detailed technology for constructing mathematical models of interaction of elements of a mechanical oscillatory system with not-holding ties. The methods of structural mathematical modeling reflecting characteristic features of dynamics of interaction of elements of a chain mechanical oscillatory system with several degrees of freedom are used. The features of dynamic interactions of a chain structure with three degrees of freedom are studied from the standpoint of assessing the possibilities of forming asymmetry of the parameters of the dynamic state of the elements in the formation of dynamic reactions of bonds under the action of single and joint acting forces. Research areas are related to the development of methods and means to improve the reliability of dynamic interactions of elements in mechanical oscillatory systems with unstoppable bonds, which is characteristic, in particular, to improve the reliability of operation of DC traction motors of transport and technological machines. The methodological basis for the construction of mathematical models has been developed; analytical relations have been obtained; the results of computational modeling are presented.