Classic and Nonclassic Methods in Synthesis of the Transverse Vibrating Mechatronic Systems

Abstract:

In the paper, the modeling and analysis of mechanical subsystem of vibrating continuous-discrete mechatronic system have been presented. This approach was established to nominate the relevance or irrelevance between the characteristics obtained by considered methods – especially concerning the relevance of the natural frequencies-poles of characteristics of beam as the subsystem of mechatronic one. At the beginning of the approach, the modeling and frequency – modal analysis of simply beam as the subsystem of vibrating mechatronic system with constant cross sections are presented. It is the research limitation, that linear continuous transverse vibrating beam is considered (Eg. [1, 2]. Findings of this approach is a fact, that approximate solutions fulfill all conditions for only subsystem, that means vibrating beams, modeled by graphs & hypergraphs and analyzed by different category structural numbers as well [3–5, 6]. Practical implication of this study is that the main point is the introduction to synthesis of transverse vibrating continuous-discrete mechatronic systems.

• Periodical: Solid State Phenomena (Volumes 220-221)
• Pages: 21-26
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.220-221.21
• Online since: January 2015
• Authors: Andrzej Buchacz*
• Keywords: Dynamical Characteristics, Graphs, Modeling, Subsystem

References

[1] A. Buchacz, Dynamical flexibility of discrete-continuous vibrating mechatronic system. Journal of Achievements in Materials and Manufacturing Engineering, International OCOSCO World Press 28(2) (2008) 159–166.

[2] A. Buchacz, Characteristics of discrete-continuous flexibly vibrating mechatronic system. Journal of Achievements in Materials and Manufacturing Engineering, International OCOSCO World Press 28(1) (2008) 43–46.

[3] S. Bellert, H. Woźniacki, The analysis and synthesis of electrical systems by means of the method of structural numbers, WNT, Warszawa, 1968 (in Polish).

[4] C. Berge: Graphs and hypergraphs, American Elsevier Publishing Co., Inc., New York/ North Holland Publishing Co., Amsterdam-London, (1973).

[5] K. Białas, A. Buchacz, T. Dzitkowski, Synthesis of active mechanical systems with dumping in view of polar graphs and structural numbers: Monograph No. 230. Silesian University of Technology Press, Gliwice, 2009 (in Polish).

[6] A. Buchacz, A. Wróbel, Computer aided analysis of piezoelectric plates, Solid State Phenomena, Mechatronic Systems and Materials: Mechatronic Systems and Robotics 164 (2010) 239–242.

DOI: 10.4028/www.scientific.net/ssp.164.239