Piezoelectric layer modelling by equivalent circuit and graph method

• Autorzy: Buchacz A. , Wróbel A.
• Konferencja: 12th International Scientific Conference CAM3S'2006, 27-30th November 2006, Gliwice-Zakopane
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

smart materials; piezoelement; graph methods; complex systems

PL

materiały inteligentne; piezoelement; metody grafów; systemy złożone

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2007
• Tom: Vol. 20, nr 1-2
• Strony: 299--302
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Buchacz A.

autor

Wróbel A.

• Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18 a, 44-100 Gliwice, Poland,

Bibliografia

• [1] A. Buchacz, J. Świder, Skeletons hypergraph in modeling, examination and position robot's manipulator and subassembly of machines, Silesian University of Теchnology Press, Gliwice 2000, (in Polish).
• [2] A. Buchacz, Hypergraphs and their subgraphs in modelling and investigation of robots. Journal of Materials Processing Technology 157-158, (2004) 37-44.
• [3] A. Buchacz, Komputer aided of synthesis and analysis of machine's sub-assembly by graph and structural number’s methods. Silesian University of Technology Press, Gliwice 1997.
• [4] S. Bolkowski, Theoretical electrical engineering, WNT. Warszawa 1986, (in Polish).
• [5] A. Buchacz, S. Żółkiewski, Longitudinal vibrations of the flexible n-bar manipulator in terms of plane motion and talking into consideration the transportation effect, CIM 2005.
• [6] R.E.D. Bishop, G.M.L Gladwell, S. Michaelson, Matrix analysis of vibration WNT, Warszawa 1972, (in Polish).
• [7] J. Świder, A. Sękala, Analysis of continuous mechanical systems by means of signal flow graphs, CIM 2005.
• [8] S. Sherrit, S.P. Leary, B.P. Dolgin, Comparison of the Mason and KLM equivalent circuits for piezoelectric resonators in thickness mode, Ultrasonics Symposium. 1999.
• [9] H. Shin, H. Ahn, D.Y. Han, Modeling and analysis of multilayer piezoelectric transformer, Materials chemistry and physics 92 (2005) 616-620.
• [10] G.Q. Li, Chen Chuan-Yao, Hu Yuan-Tai. Equivalent electic circuits of thin plates with two-dimensional piezoelectric actuators, Journal of Sound and Vibration 286 (2005) 145-165.
• [11] R. Kacprzyk, E. Motyl, J.B.Gajewski, A. Pasternak, Piezoelectric properties of nonuniform electrets, Journal of Electrostatics 35 (1995) 161-166.
• [12] A. Buchacz, A. Wróbel, The network methods of modeling mechanical complex system, XLV Symposium “Modelling in mechanics”, 2006,
• [13] A. Buchacz, computer aided synthesis and аnalysis of bar systems characterized by a branched structure represented by graphs. Journal Technical of Physics, 40, 3 (1999) 315-328.
• [14] A. Buchacz, A. Wróbel A, The recurrent formula of flexibility calculations of n-elements systems with longitudinal vibrations, CIM 2005.
• [15] A. Buchacz, Modifications of cascade structures in computer aided design of mechanical continuous vibration bar systems represented by graphs and structural numbers. Journal of Materials Processing Technology 157-158 (2004) 45-54.
• [16] A. Sękala, J. Świder, Hybrid graphs in modelling and analysis of discrete-continuous mechanical systems. Journal of Materials Processing Technology 164-165 (2005) 1436-1443.
• [17] A. Buchacz, Modelling, Synthesis and Analysis of Bar Systems Characterized by a Cascade Structure Represented by Graphs. Mech. Mach. Theory, Vol.30, No 7 (1995) 969-986.