Calculation of characteristics of torsionally vibrating mechatronic system

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

Abstrakty

EN

Purpose: of this paper is the application of the approximate 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 motion and state equations of the considered mechatronic model of an object. To obtain the solution, Galerkin's method was used. The discussed torsionally vibrating mechanical system is a continuous bar of circular cross-section, clamped on its ends. A ring transducer, which is an integral part of the mechatronic system is assumed 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 poles of the dynamical characteristic calculated with the use of mathematical exact method and Galerkin's method have approximately the same values. 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, but 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.

Słowa kluczowe

EN

applied mechanics; torsionaly vibrating shaft; approximate method; flexibility

PL

mechanika stosowana; drgania skrętne; wałek; metoda przybliżeń; podatność na drgania

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2007
• Tom: Vol. 20, nr 1-2
• Strony: 327--330
• Opis fizyczny: Bibliogr. 28 poz., rys.

Twórcy

autor

Buchacz 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, 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, 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.
• [3] A. Buchacz, Computer Aided Synthesis and Analysis of Bar Systems Characterized by a Branched Structure Represented by Graphs. Journal Technical of Physics, 40, 3, (1999), 315-328.
• [4] 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, Elsevier, Vol. 157-158 (2004) 45-54.
• [5] A. Buchacz, Hypergraphs and Their Subgraphs in Modelling and Investigation of Robots. Journal of Materials Processing Technology, Elsevier, Vol. 157-158 (2004) 37-44.
• [6] A. Buchacz, The Expansion of the Synthesized Structures of Mechanical Discrete Systems Represented by Polar Graphs. Journal of Materials Processing Technology, Elsevier, Vol. 164-165 (2005) 1277-1280.
• [7] A. Buchacz, Dynamical Flexibility of Longitudinally Vibration Bar With Taking Into Consideration Torsionally Transportation, Scientific Letters of Department of Applied Mechanics, 23 Gliwice (2004) 51-56 (in Polish).
• [8] A. Buchacz, Influence of a piezolectric on characteristics of vibrating mechatronical system, Journal of Achievements in Materials and Manufacturing Engineering, Vol .17, Issue 1-2 (2006) 229-232.
• [9] 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 No. 88. Silesian University of Technology Press, Gliwice 2005 (in Polish).
• [10] A. Buchacz, J.Wojnarowski, Modelling Vibrating Links Systems of Nonlinear Changeable Section of Robots by the Use of Hypergraphs and Structural Numbers, Journal of the Franklin Institute, Vol. 332B, No.4, Pergamon, (1995), 443-476.
• [11] A. Callahan, H. Baruh, Vibration monitoring of cylindrical shells using piezoelectric sensors, Finite Elements in Analysis and Design 23 (1996) 303-318.
• [12] A. Dymarek, The Sensitivity as a Criterion of Synthesis of Discrete Vibrating Fixed Mechanical System, Journal of Materials Processing Technology, Elsevier, Vol. 157-158 (2004) 138-143.
• [13] A. Dymarek, T. Dzitkowski, Modelling and Synthesis of Discrete-Continuous Subsystems of Machines with Damping. Journal of Materials Processing Technology, Elsevier, Vol. 164-165 (2005) 1317-1326.
• [14] T. Dzitkowski, Computer Aided Synthesis of Discrete-Continuous Subsystems of Machines with the Assumed Frequency Spectrum Represented by Graphs, Journal of Materials Processing Technology, Vol. 157-158 Complete, Elsevier (2004), 144-149.
• [15] J.S. Friend, D.S. Stutts, The Dynamics of an Annular Piezoelectric Motor Stator, Journal of Sound and Vibration 204 (3) (1997) 421-437.
• [16] B. Heimann, W.Gerth, K. Popp, Mechatronics – components, methods, examples. PWN. Warsaw 2001 (in Polish).
• [17] P.R. Heyliger, G. Ramirez, Free Vibration of Laminated Circular Piezoelectric Plates and Discs, Journal of Sound and Vibration, 229 (4) (2000) 935-956.
• [18] H. Ji-Huan, Coupled Variational Principles of Piezoelectricity, International Journal of Engineering Science, 39 (2001), 323-341.
• [19] W. Kurnik, Damping of Mechanical Vibrations Utilizing Shunted Piezoelements, Machine Dynamics Problems, Vol. 28 No 4 (2004) 15-26.
• [20] P. Lu, K.H. Lee, S.P. Lim, Dynamical Аnalysis of a Cylindrical Piezoelectric Transducer, Journal of Sound and Vibration 259 (2) (2003) 427-443.
• [21] A. Sękala, J. Świder, Hybrid Graphs in Modelling and Analysis of Discrete-Continuous Mechanical Systems, Journal of Materials Processing Technology, Elsevier, Vol. 164-165 (2005) 1436-1443.
• [22] W. Soluch, Introduction to piezoelectronics, WKiŁ, Warsaw 1980 (in Polish).
• [23] 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.
• [24] 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, Elseiver, 157-158 (2004), 250-255.
• [25] 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, Elsevier, 157-158 (2004) 256-261.
• [26] J. Świder, P.Michalski, G.Wszołek, Physical and geometrical data acquiring system for vibration analysis software, Journal of Materials Processing Technology, Elsevier, Vol. 164-165 (2005) 1444-1451.
• [27] G. Wszołek, Vibration Analysis of the Excavator Model in GRAFSIM Program on the Basis of a Block Diagram Method, Journal of Materials Processing Technology, Elsevier, Vol. 157-158 (2004) 268-273.
• [28] G. Wszołek, Modelling of Mechanical Systems Vibrations by Utilisation of GRAFSIM Software, Journal of Materials Processing Technology, Elsevier, Vol. l64-165 (2005) 1466-1471.