Engineering Transactions, 47, 3-4, pp. 221–245, 1999

On the Machine Tool Substitutive Model Creation, Supported by the Finite Element Method

K.J. Kaliński
Technical University of Gdańsk

T. Kucharski
Technical University of Gdańsk

A primary model is created by the rigid finite element method. The selected "rigid" part which is supposed to be flexible, is idealised by classic finite elements of various kinds. The solution to dynamics of the model introduced is a pattern which the primary model should follow. Suitable accuracy criteria are included to compare the results. If the chosen criterion is satisfied, flexibility of that "rigid' part will be distributed over some spring-damping element. If the latter is not accomplished, the "rigid" part will be subdivided into two rigid finite elements, connected by additional spring-damping element. Some illustrative examples are included.
Keywords: discrete modelling; finite element method; dynamics; machine tools; numerical analysis; computation
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


J. KRUSZEWSKI, W. GAWROŃSKI, E. WITTBRODT, F. NAJBAR and S. GRABOWSKI, The rigid finite element method [in Polish], Arkady, Warszawa 1975.

K. KALIŃSKI, The finite element method application to linear closed-loop steady system vibration analysis, Int. J. Mech. Science, 39, 3, 315–330, 1997.

S. HARANATH, N. GANESAN and B.V.A. RAO, Dynamic analysis of machine tool column with damping layer – finite element approach, Int. J. Mach. Tools Manufact, 27, 1, 27–41, 1987.

S. HARANATH, N. GANESAN and B.V.A. RAO, Dynamic analysis of machine tool structures with applied damping treatment, Int. J. Mach. Tools Manufact., 27, 1, 43–55, 1987.

A. WITEK, An analysis of dynamic properties of the FWD-25U milling machine beam with its own drive [in Polish], PhD Thesis, Technical University of Szczecin, Szczecin 1980.

S. BERCZYŃSKI, Dynamic calculations of the machine tools main driving systems [in Polish], The Scientific Papers of the Technical University of Szczecin No 186, Machine Design Institute No 12, Szczecin 1982.

W. GAWROŃSKI, J. KRUSZEWSKI, W. OSTACHOWICZ, J. TARNOWSKI and E. WITTBRODT, The finite element method in the dynamics of structures [in Polish], Arkady, Warszawa 1984.

O.C. ZIENKIEWICZ, The finite element method [in Polish], Arkady, Warszawa 1972.

DOI: 10.24423/engtrans.630.1999