A general form of the mathematical model for the analysis of transient states of complex electro-mechanical systems with distributed parameters

In the paper a literature review concerning development and application of mathematical models for the analysis of transient states of complex electro-mechanical systems with distributed parameters is presented. Special attention is paid to real-life systems and to presentation of results of digital simulations. In the paper the assumptions for the analysis of transient states of complex electro-mechanical systems in the context of occurrence of vibrations in the rotation transmission system. A general form of the mathematical model for the analysis of transient states of electro-mechanical systems is given, which makes it possible to describe in the continuous form the system of rotation transmission for any of its components. The final form of the equations of the mathematical model, which makes it possible to carry out the digital simulations and to obtain the results as 3D planes that depict the vibrations in reference to time and to real fragments of rotation transmission chain for chosen quantities under examination, is presented.