Calculation of Flexibility of Vibrating Beam as the Subsystem of Mechatronic System by Means the Exact and Approximate Methods

Buchacz, A.

doi:10.1002/pamm.200910160

Cited by 8 publications

(14 citation statements)

References 2 publications

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“…Received transients of flexibilities within the models of mechanical subsystems, obtained by the exact method, will be treated as the course to which the transients, obtained by the approximate of mechanical system, will be compared (e.g. [10][11][12]). …”

Section: The Exact and Approximate Methods Obtaining The Dynamical Flmentioning

confidence: 99%

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Modeling and Investigation of Subsystems of Mechatronic Systems by Classic and/or Unclassic Methods as an Introduction to Solution of Their Inverse Task

Buchacz¹

2015

ujeee

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The problem of analysis within the form of the one differential equation of motion within the mechanical subsystem or of the set of state equations among considered mechatronic model of object has been formulated and solved. Classic and Galerkin's methods to solve the problem presented above have been used. The considered vibrating mechanical subsystems of mechatronic system are continuous bars of circular cross-section, with free ends or clamped on one end. The poles of dynamical characteristic calculated by mathematical exact method and the Galerkin's one have approximately the same values. The results of the calculations were not only presented in mathematical form but also as the transients of examined dynamical characteristic within function of frequency of assumed excitation. This approach is different from the ones considered so far. Using classic and unclassic methods among modeling, analysis and synthesis it can be assumed that the obtained results can have great value for designers of mechatronic system.

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Section: The Exact and Approximate Methods Obtaining The Dynamical Flmentioning

confidence: 99%

“…[3-10, 20, 23,30]). In [10][11][12] the continuous-discrete mechatronic system 2 , were considered 1Other diverse problems have been carried out by different kind of graphs next they were examined and analyzed in (e.g. [3,13,20]).…”

Section: Introductionmentioning

confidence: 99%

Modeling and Investigation of Subsystems of Mechatronic Systems by Classic and/or Unclassic Methods as an Introduction to Solution of Their Inverse Task

Buchacz¹

2015

ujeee

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“…(8) After substitution of (8) into combinations of boundary conditions (2)-(5) for considered beam was received W A = 0, (9) where |W | -main determinant of set of equation (for example [1][2][3]…”

Section: In the Global Case The Equation Of Motion Of The Beam Is Conmentioning

confidence: 99%

“…The problem of determining of own function were presented for discrete -continuous transverse vibrating mechatronic systems in [1][2][3]. Taking into consideration that mechanical subsystem of transverse vibrating mechatronic system is extorted with harmonic force in the form P (t) = P 0 sin ωt, one boundary condition in (2) …”

Section: In the Global Case The Equation Of Motion Of The Beam Is Conmentioning

confidence: 99%

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Vibrating Subsystems of Freight Wagons and Their Beam Models

Buchacz

2017

Acta Phys. Pol. A

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The application of analysis of transverse vibrating subsystem of complex microelectromechanical systems by means of the exact and approximate methods were the main purposes of work to solve the task of assignment of frequency-modal analysis and characteristics of mechatronic system. The problems concerned of piezoelectricity and electrostriction and classical and nonclassical methods to solve this problem have been used to obtain the dynamical characteristics in the Gliwice Research Centre. Other diverse problems have been modeled by different methods and next they were examined and analysed. Analysing the diagrams of characteristics of confirmed system, it has been determined that in case of approximate method the resonance frequencies cover with those which have been determined with the exact method. However the values of the characteristic in other areas were different. The main aim of this paper is to compare the transients of characteristics of mechanical subsystem of the transverse vibrating discrete -continuous mechatronic system, obtained by the exact and the approximate Galerkin method and to answer the question -if the method can be used to nominate the characteristics of mechatronic systems. The main subject of deliberation was to determine the flexibility of the mechanical system with constant cross-section using the exact and the Galerkin method. The problems presented in this paper, that means the analysis of subsystem of mechatronic and mechanical complex systems, is however the introduction to the synthesis of transverse vibrating mechatronic systems with assumed frequency spectrum.

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Solution of Inverse Task of Mechatronic Systems by Means the Classical and Unclassical Methods of Modelling and Analysis

Buchacz

2013

Proc Appl Math and Mech

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In this paper the modelling by means of the different category graphs and analysis of vibrating subsystem of mechatronic systems by means of the exact and approximate methods have been presented. That approach was to nominate the relevance or irrelevance between the characteristics obtained by means of the exact method (only for the mechanical subsystem) and the approximate method. Such formulation concerns mostly the relevance of the natural frequencies-poles of the characteristics both mechanical subsystems and mechatronic systems. Approximate solutions requiring all the conditions for vibrating mechanical and/or mechatronic systems have been finding and it may be introduction to synthesis of these systems, modeled by different category graphs. Research limitation is following, that torsional vibrating continuous mechanical subsystem and mechatronic systems are linear type. Presentation the introduction to synthesis of considered class of mechatronic bar-systems with a constant changeable cross-section is practical implications of this work. Originality of such formulation is focused on the use of the different category graphs for modelling and synthesising by different methods represented by graphs of vibrating bars to the synthesis of considered discrete-continuous mechatronic systems.

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Calculation of Flexibility of Vibrating Beam as the Subsystem of Mechatronic System by Means the Exact and Approximate Methods

Cited by 8 publications

References 2 publications

Modeling and Investigation of Subsystems of Mechatronic Systems by Classic and/or Unclassic Methods as an Introduction to Solution of Their Inverse Task

Modeling and Investigation of Subsystems of Mechatronic Systems by Classic and/or Unclassic Methods as an Introduction to Solution of Their Inverse Task

Vibrating Subsystems of Freight Wagons and Their Beam Models

Solution of Inverse Task of Mechatronic Systems by Means the Classical and Unclassical Methods of Modelling and Analysis

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