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Tytuł artykułu

Indication of the suitable model of a mechatronic system as an introduction to the synthesis task

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Języki publikacji
EN
Abstrakty
EN
Purpose: The identification of the optimal mathematical model that meets the assumed criteria is the main purpose of this paper, which is an introduction to the task of synthesis of one-dimensional vibrating mechatronic systems. Assumed criteria are to provide the accurate analysis of the system together with maximum simplification of used mathematical tools and minimize required amount of time. The correct description of a given system by its model during the design phase is a fundamental condition for proper operation of it. Therefore, the processes of modelling, testing and verification of used models were presented. On the basis of carry out analysis the optimal (in case of assumed criteria) model was selected and it will be used to realize the task of synthesis in future works. Design/methodology/approach: A series of mathematical models with different simplifying assumptions was created. Using the created models and corrected approximate Galerkin method the dynamic characteristic of the considered system was designated. The analysis of an influence of parameters of the system’s components on obtained characteristic was conducted. The approximate method was verified to check its accuracy and decide if it can be used to analyse such kind of mechatronic systems. Findings: The main result of the work is an indication of the suitable mathematical model of the considered system. Research limitations/implications: Influence of temperature changes on the transducer’s properties was neglected in developed mathematical models. It will be considered in the future works. Practical implications: Presented method of mechatronic system’s analysis can be use in process of designing of technical devices where both, simply and reverse piezoelectric effects can be used. Originality/value: Development of the mathematical models in which the considered system is modelled as a combined beam.
Rocznik
Strony
338--349
Opis fizyczny
Bibliogr. 25 poz., rys., tab.
Twórcy
autor
  • Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Faculty of Mechanical Engineering, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland
Bibliografia
  • [1] S.O.R. Moheimani, A.J. Fleming, Piezoelectric Transducers for Vibration control and Damping, Springer, London, 2006.
  • [2] W. Kurnik, P.M. Przybyłowicz, A. Tylikowski, Torsional Vibrations Actively Attenuated by Piezoelectric System, Proceedings of the 4th German-Polish Workshop on Dynamical Problems in Mechanical Systems, Berlin, 1995.
  • [3] J.X. Gao, W.H. Liao, Vibration analysis of simply supported beams with enhanced self-sensing active constrained layer damping treatments, Journal of Sound and Vibration 280 (2005) 329-357.
  • [4] A. Buchacz, M. Płaczek, Damping of Mechanical Vibrations Using Piezoelements, Including Influence of Connection Layer’s Properties on the Dynamic Characteristic, Solid State Phenomena 147-149 (2009) 869-875.
  • [5] N.W. Hagood, A. von Flotow, Damping of structural vibrations with piezoelectric materials and passive electric networks, Journal of Sound and Vibration 146/2 (1991) 243-268.
  • [6] O.M. Fein, A model for piezo-resistive damping of two-dimensional structures, Journal of Sound and Vibration 310/4-5 (2008) 865-880.
  • [7] W. Kurnik, Damping of Mechanical Vibrations Utilising shunted Piezoelements, Machine Dynamics Problems 28/4 (2004) 15-26.
  • [8] A.J. Fleming, S. Behrens, S.O.R. Moheimani, Optimization and implementation of multimode piezoelectric shunt damping systems, IEEE/ASME Transactions on Mechatronics 7/1 (2002) 87-94.
  • [9] S. Yoshikawa, A. Bogue, B. Degon, Commercial Application of Passive and Active Piezoelectric Vibration Control, Proceedings of the 11th IEEE International Symposium on Applications of Ferroelectrics, Montreux, Switzerland, 1998.
  • [10] M. Pietrzakowski, Active damping of beams by piezoelectric system: effects of bonding layer properties, International Journal of Solids and Structures 38 (2001) 7885-7897.
  • [11] A. Buchacz, M. Płaczek, Development of Mathematical Model of a Mechatronic System, Solid State Phenomena 164 (2010) 319-322.
  • [12] A. Buchacz, The supply of formal notions to synthesis of the vibrating discrete-continuous mechatronic systems, Journal of Achievements in Materials and Manufacturing Engineering 44/2 (2011) 168-178.
  • [13] S. Żółkiewski, Dynamical flexibility of the free-free damped rod in transportation, Journal of Achievements in Materials and Manufacturing Engineering 35/1 (2009) 71-78.
  • [14] A. Dymarek, T. Dzitkowski, Modelling and synthesis of discrete - continuous subsystems of machines with damping, Proceedings of the 13th Scientific International Conference „Achievements in Mechanical and Materials Engineering” AMME’2005, Gliwice-Wisła, 2005, 217-220.
  • [15] T. Dzitkowski, A. Dymarek, Synthesis and sensitivity of machine driving systems, Journal of Achievements in Materials and Manufacturing Engineering 20 (2007) 359-362.
  • [16] K. Białas, Reverse task of passive and active mechanical system in torsional vibrations, Journal of Achievements in Materials and Manufacturing Engineering 35/2 (2009) 129-137.
  • [17] A. Buchacz, A. Wróbel, Modelling of complex piezoelectric system by non-classical methods, Journal of Achievements in Materials and Manufacturing Engineering 35/1 (2009) 63-70.
  • [18] K. Białas, Computer-aided analysis and synthesis of branched mechanical systems, Journal of Achievements in Materials and Manufacturing Engineering 45/1 (2011) 39-44.
  • [19] K. Białas, Computer-aided synthesis and analysis of discrete mechanical systems, Journal of Achievements in Materials and Manufacturing Engineering 38/2 (2010) 171-178.
  • [20] http://www.ferroperm-piezo.com/
  • [21] S. Behrens, A.J. Fleming, S.O.R. Moheimani, A broadband controller for shunt piezoelectric damping of structural vibration, Smart Materials and Structures 12 (2003) 18-28.
  • [22] N.D. Maxwell, S.F. Asokanthan, Modal characteristics of a flexible beam with multiple distributed actuators, Journal of Sound and Vibration 269 (2004) 19-31.
  • [23] A. Preumont, Vibration Control of Active Structures: An Introduction, Kluwer Academic Publ., 2002.
  • [24] A. Buchacz, M. Płaczek, Characteristic of the mechatronic system with piezoelectric actuator modelled as the combined beam, Proceedings of the 15th International Conference “Modern Technologies, Quality and Innovation” ModTech 2011, Vadul lui Voda, Chisinau, Republic of Moldova, 2011, 133-136.
  • [25] A. Buchacz, M. Płaczek, Modelling and testing of one-dimensional vibrating mechatronic systems, The Silesian University Publishing House, Gliwice, 2011 (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6aed57b7-f96a-4ab3-84ab-ee5d944e73f1
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