Modelling and synthesis of discrete–continuous subsystems of machines with damping

Nowadays, discrete–continuous systems are more commonly used in designing models of mechanical systems. Therefore, there has been an increasing interest in such methods of synthesis which could be applied both for systems with converged and continuously distributed parameters. Such synthesis involves a search for a structure of a discrete–continuous system that complies with some specific requirements concerning certain phenomena of dynamics. The continued fraction method of the synthesis of the dynamic characteristics distribution makes it possible to obtain cascade structures of the discrete–continuous system. The investigation into the structures of cascade systems was conducted by means of the software method for distributing the dynamic characteristics to the continued fraction based on graphs and structural numbers.