The modelling method of discrete-continuous systems

• Autorzy: Hein R.
• Konferencja: Symposium “Vibrations In Physical Systems” (26 ; 04-08.05.2014 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The paper introduces a method of discrete-continuous systems modelling. In the proposed method a threedimensional system is divided into finite elements in only two directions, with the third direction remaining continuous. The thus obtained discrete-continuous model is described by a set of partial differential equations. General difference equations of discrete system are obtained using the rigid finite element method. The limit of these equations leads to partial differential equations. The derived equations, expressed in matrix form, allow for the creation of a global matrix for the whole system. The equations are solved using the distributed transfer function method. Proposed approach is illustrated with the example of a simple beam fixed at both ends.

Słowa kluczowe

EN

modelling; model reduction; modal analysis; mechanical system; dynamic systems; vibration

PL

modelowanie; redukcja modelu; analiza modalna; układ mechaniczny; układy dynamiczne; drgania

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2014
• Tom: Vol. 26
• Strony: 87--92
• Opis fizyczny: Bibliogr. 5 poz., rys., 1 wykr.

Twórcy

autor

Hein R.

• Gdańsk University of Technology, Department of Mechanical Engineering, G. Narutowicza 11/12, 80-233 Gdansk

Bibliografia

• 1. R. Hein, C. Orlikowski: Hybrid reduced model of rotor, The archive of mechanical engineering, LX(3) (2013) 319-333.
• 2. R. Hein, C. Orlikowski: Hybrid reduced model of continuous system, Vibrations in physical systems, Vol. XXIV, pp. 143-149, Poznan 2010, Poland.
• 3. R. Hein, C. Orlikowski: Reduced order model of 2D system, Selected problems of modal analysis of mechanical systems, Editor T. Uhl, AGH, Kraków 2009, Poland.
• 4. Yang B., Tan C.A.: Transfer Function of One-Dimentional Distributed Parameter Systems, ASME Journal of Applied Mechanics, 59 (1992) 1009-1014.
• 5. J. Kruszewski, and others: Rigid finite element method, Arkady, Warsaw 1975.