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This article contains new propositions for modelling piezoelectric stack models by using existing classical and non-classical methods with the aim of improving piezoelectric stack capabilities. Polynomial chain fractioning is used to obtain a mechanical model with a cascade structure. To verify model output frequencies and amplitudes, edge graphs and structural numbers are used. With the help of Kelvin–Voigt, Mason and Maxwell slip models, an electromechanical model solutions are proposed.
MS | Articles | Volume 12, issue 2
Mech. Sci., 12, 959–969, 2021
https://doi.org/10.5194/ms-12-959-2021
Mech. Sci., 12, 959–969, 2021
https://doi.org/10.5194/ms-12-959-2021

Research article 26 Oct 2021

Research article | 26 Oct 2021

Research on a cascade model synthesis with the use of classical and non-classical methods in the context of new piezoelectric stack applications

Jacek Harazin and Andrzej Wróbel

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Subject: Mechanisms and Robotics | Techniques and Approaches: Mathematical Modeling and Analysis
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Cited articles

Adriaens, H., Koning, W., and Banning, R.: Modeling piezoelectric actuators, IEEE/ASME T. Mech., 5, 4, https://doi.org/10.1109/3516.891044, 2000. 
Bellert, S. and Woźniacki, H.: Analysis and synthesis of electrical systems by the structural number method [Analiza I synteza układów elektrycznych metodą liczb strukturalnych], WNT, Poland, 1968 (in Polish). 
Benjeddou, A. and Ranger, J. A.: Use of shunted shear-mode piezoceramics for structural vibration passive damping, Comput. Struct., 84, 22–23, 1415–1425, https://doi.org/10.1016/j.compstruc.2005.10.010, 2006. 
Bergamo, E., Fasan, M., and Bedon, C.: Predictivity of CNC machine-induced vibrations on inter-story floors based on coupled experimental-numerical investigations, in: Proceedings of First International Electronic Conference on Actuator Technology: Materials, Devices and Applications, 23–27 November 2020, https://doi.org/10.3390/IeCAT2020-08529, 2020 
Białas, K.: Application of mechanical and electric elements as implementation of active reduction of vibration, Journal of Achievements in Materials and Manufacturing Engineering, 55, 523–528, 2012. 
Publications Copernicus
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Short summary
This article contains new propositions for modelling piezoelectric stack models by using existing classical and non-classical methods with the aim of improving piezoelectric stack capabilities. Polynomial chain fractioning is used to obtain a mechanical model with a cascade structure. To verify model output frequencies and amplitudes, edge graphs and structural numbers are used. With the help of Kelvin–Voigt, Mason and Maxwell slip models, an electromechanical model solutions are proposed.
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