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Dynamical flexibility of torsionally vibrating mechatronic system

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: of this paper is the application of the approximate method called Galerkin's method to solve the task of assigning the frequency-modal analysis and characteristics of a mechatronic system. Design/methodology/approach: was the formulated and solved as a problem in the form of a set of differential equations of the considered mechatronic model of an object. To obtain the solution, Galerkin's method was used. The discussed torsionally vibrating mechatronic system consists of mechanical system, which is a continuous bar of circular cross-section, clamped on its ends. The electrical subsystem of the considered mechatronic system is a ring transducer to be perfectly bonded to the bar surface. Findings: this study is that the parameters of the transducer have an important influence on the values of natural frequencies and on the form of the characteristics of the said mechatronic system. The results of the calculations were not only presented in a mathematical form but also as transients of the examined dynamical characteristic which are a function of frequency of the assumed excitation. Research limitations/implications: is that the linear mechatronic system was considered, for this type of systems, such approach is sufficient. Practical implications: of this researches was that another approach is presented, that means in the domain of frequency spectrum analysis. The method used and the obtained results can be of some value for designers of mechatronic systems. Originality/value: of this paper is that the mechatronic system, created from mechanical and electrical subsystems with electromechanical bondage was examined. This approach is other than those considered elsewhere.
Rocznik
Strony
33--40
Opis fizyczny
Bibliogr. 25 poz., tab., wykr.
Twórcy
autor
  • Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland, andrzej.buchacz@polsl.pl
Bibliografia
  • [1] A. Buchacz, The synthesis of vibrating bar-systems represented by graph and structural numbers, Scientific Letters of Silesian University of Technology, MECHANICS 104 (1991) (in Polish).
  • [2] 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.
  • [3] A. Buchacz, Hypergrphs and their subgraphs in modelling and investigation of robots, Journal of Materials Processing Technology 157-158 (2004) 37-44.
  • [4] A. Buchacz, The Expansion of the Synthesized Structures of Mechanical Discrete Systems Represented by Polar Graphs, Journal of Materials Processing Technology 164-165 (2005) 1277-1280.
  • [5] A. Buchacz, Influence of a piezolectric on characteristics of vibrating mechatronical system, Journal of Achevements in Materials and Manufacturing Engineering 17 (2006) 229-232.
  • [6] A. Buchacz, Calculation of characterisics of torsionally vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering 20 (2007) 327-330.
  • [7] A. Buchacz, A. Dymarek, T. Dzitkowski, Design and examining of sensitivity of continuous and discrete-continuous mechanical systems with required frequency spectrum represented by graphs and structural numbers, Monograph 88 Silesian University of Technology Press, Gliwice, 2005 (in Polish).
  • [8] J. Callahan, H. Baruh, Vibration monitoring of cylindrical shells using piezoelectric sensors, Finite Elements in Analysis and Design 23 (1996) 303-318.
  • [9] A. Dymarek, The sensitivity as a criterion of synthesis of discrete vibrating fixed mechanical system, Journal of Materials Processing Technology 157-158 (2004) 138-143.
  • [10] A. Dymarek, T. Dzitkowski, Modelling and synthesis of discrete-continuous subsystems of machines with damping, Journal of Materials Processing Technology 164-165 (2005) 1317-1326.
  • [11] T. Dzitkowski, Computer aided synthesis of discrete-continuous subsystems of machines with the assumed frequency spectrum represented by graphs, Journal of Materials Processing Technology 157-158 (2004) 144-149.
  • [12] J. S. Friend, D. S. Stutts, The dynamics of an annular piezoelectric motor stator, Journal of Sound and Vibration 204/3 (1997) 421-437.
  • [13] B. Heimann, W. Gerth, K. Popp, Mechatronics-components, methods, examples, PWN, Warsaw 2001 (in Polish).
  • [14] P. R. Heyliger, G. Ramirez, Free vibration of laminated circular piezoelectric plates and discs, Journal of Sound and Vibration 229/4 (2000) 935-956.
  • [15] Ji-Huan He, Coupled variational principles of piezoelectricity, International Journal of Engineering Science 39 (2001) 323-341.
  • [16] W. Kurnik, Damping of mechanical vibrations utilizing shunted piezoelements, Machine Dynamics Problems 28/4 (2004) 15-26.
  • [17] P. Lu, K. H. Lee, S. P. Lim, Dynamical analysis of a cylindrical piezoelectric transducer, Journal of Sound and Vibration 259/2 (2003) 427-443.
  • [18] 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.
  • [19] W. Soluch, Introduction to piezoelectronics, WKiŁ,Warsaw, 1980 (in Polish).
  • [20] O. Song, L. Librescu, N. H. Jeong, Vibration and stability control of smart composite rotating shaft via structural tailoring and piezoelectric strain actuation, Journal of Sound and Vibration 257/3 (2002) 503-525.
  • [21] J. Świder, G. Wszołek, Analysis of complex mechanical systems based on the block diagrams and the matrix hybrid graphs method, Journal of Materials Processing Technology 157-158 (2004) 250-255.
  • [22] J. Świder, G. Wszołek, Vibration analysis software based on a matrix hybrid graph transformation into a structure of a block diagram method, Journal of Materials Processing Technology 157-158 (2004) 256-261.
  • [23] J. Świder, P. Michalski, G. Wszołek, Physical and geometrical data acquiring system for vibration analysis software, Journal of Materials Processing Technology 164-165 (2005) 1444-1451.
  • [24] G. Wszołek, Vibration analysis of the excavator model in GRAFSIM program on the basis of a block diagram method, Journal of Materials Processing Technology 157-158 (2004) 268-273.
  • [25] G. Wszołek, Modelling of mechanical systems vibrations by utilisation of GRAFSIM software, Journal of Materials Processing Technology 164-165 (2005) 1466-1471.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0040-0004
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