Purpose: It is generally well known engineering applications of standard materials for example aluminium, gold, steel etc. In recent years, piezoelectric materials beeing used to construct new mechatronical systems. In this paper equivalent circuit of piezoelectric was delivered and it was modeled by graph methods. This kind of modeling by graph methods it is author's method. Design/methodology/approach: Piezoelectric layer was modeled by Mason's equivalent circuit. Graph method for complex system was delivered. This method is based on the matrix method and the application of the graph aggregation. Findings: After examination of piezoelectric layer, the matrix of impedance was delivered and complex system was analysed by graph methods. This matrix was author's idea for impedance calculation of systems compound of many elements. Research limitations/implications: Recurent formula and the analysis of other kinds of smart materials are proposed in the future research. Practical implications: Piezoelectrics are widely applied as sensors and actuators. The advantages such as: little dimensions, simple structure, low noise factor at operating provide wide applications at vibration generating, damping, conversing of mechanical energy into electrical energy, elements of precise positioning and many others. Originality/value: Graph method for piezoelectric layer for modeling complex system.
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