Replacement models in the analysis of intelligent systems

In recent years, the methods of active vibration damping are often used in the construction of the machines. Most vibrations occurring in technical devices have a negative impact on their technical condition. Many methods of vibration reduction are widely known, generally they can be divided into passive methods and active methods. Traditional passive methods consisting in the modification of parameters and structure of existing systems have a number of limitations, among others they do not change in time and have a low efficiency of vibration reduction in the low frequency range. The active vibration dampers that are properly controlled can supply or absorb energy in a specific way behave in a completely different way. This article describe modelling piezoelectric by replacement models represented by appropriately connected elements, eg in mechanical systems in the form of susceptibility or stiffness, are mainly used to simplify a more complicated system or mapping of its actual parameters. In modeling the piezoelectric phenomenon, substitute models with the same input properties as the original systems are used. This publication presents the layout of a piezoelectric plate in the form of an analogous electric circuit composed of electrical components. These elements have the appropriate impedance values marked Zij. In order to use the known graph method, the analyzed system was reduced to a substitute system by means of an electric triangle star exchange and methods of structural numbers.