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EN
Purpose: of this paper is to analyze vibrating beam by an exact and approximate methods and to create hypergraphs of the beam in case of two methods of analysis. Design/methodology/approach: was to nominate the relevance or irrelevance between the characteristics obtained by the considered methods - especially concerning the relevance of the natural frequency-poles of beam characteristics. The main subject of the research is a continuous free beam as a subsystem of vibrating beam-system with constant cross sections. Findings: this approach is that approximate solutions fulfil all conditions for vibrating beams and can be an introduction to synthesis of these systems modelled by hypergraphs. Research limitations/implications: linear continuous flexibly vibrating free beam is considered Practical implications: of this study is mainly the introduction to synthesis of flexibly vibrating continuous beam-systems. Originality/value: of this approach is about application of approximate methods of analysis of a beam and modelling the one of transformed hypergraph.
2
Content available Design of volume displacement sensor
EN
This paper presents a new methodology for designing volume displacement sensors using shaped PVDF film on the basis of integration by parts. The design method proposed here does not require knowledge of the structural mode shapes. Through the design of the shape of the PVDF film, the charge output of PVDF sensor is proportional to the volume displacement of the beam. As shown the PVDF sensor shape is independent of the excitation (the type, position and frequency, etc.). Furthermore, the PVDF sensor proposed, is not sensitive to changes in the boundary conditions.
PL
Artykuł przedstawia nową metodę projektowania czujnika przesunięcia objętościowego przy użyciu materiału piezoelektrycznego PVDF. Metoda ta bazuje na całkowaniu przez części równania opisującego przesunięcie objętościowe drgającej struktury, mierzonego rozmieszczonym na strukturze materiałem PVDF. Dodatkowo prezentowana metoda nie wymaga znajomości drgań własnych struktury i pozwala znaleźć dokładny kształt czujnika oraz jego rozmieszczenie na strukturze drgającej, w prezentowanym przypadku na belce. Jak pokazano, czujnik dokładnie mierzy przesunięcie objętościowe belki w szerokim zakresie częstotliwości, niezależnie od warunków brzegowych belki i rodzaju przyłożonego wymuszenia.
3
Content available remote Investigation of flexibly vibrating subsystem of mechatronic system
EN
Purpose: of this paper is to investigate the transients of characteristics of vibrating beams obtained by the exact and approximate methods and to answer to the question – if the method can be used to nominate the characteristics of mechatronic systems. Design/methodology/approach: was 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 mechanical part of mechatronic system. The main subject of the research is the continuous vibrating beam. Findings: this approach is fact, that approximate solutions fulfill all conditions for vibrating beams and some conditions only, particularly for vibrating beams as the subsystems of mechatronic systems. Research limitations/implications: is that linear continuous flexibly vibrating beam is considered. Practical implications: of this study is the main point is the analysis and the examination of flexibly vibrating discrete-continuous mechatronic systems which characteristics can be nominated with approximate methods only. Originality/value: of this approach relies on the comparison of the compatibility of the characteristics of the mechatronic and mechanical systems with demanded accuracy, nominated with approximate method.
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