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Calculation of characteristics of torsionally vibrating mechatronic system

Buchacz A.

Journal of Achievements in Materials and Manufacturing Engineering

2007

Vol. 20, nr 1-2

327-330

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.