Publications / 2001 Proceedings of the 18th ISARC, Krakow, Poland

Structural Modification of Synthesised Vibration Bar-System as an Introduction to Optimal Control these Systems

Andrzej Buchacz
Pages 1-6 (2001 Proceedings of the 18th ISARC, Krakow, Poland, ISBN 9788386040117, ISSN 2413-5844)
Abstract:

Basing on the design of continuous free systems with definite frequency spectrum, with cascade structure, the dynamical flexibility of such systems has the alternating: pole, zero, pole, zero, etc. Nevertheless, the frequency with the zero value is always a pole. On the other hand, in the case of systems with cascade structure but fixed at one side, the dynamical flexibility has the alternating: zero, pole, zero, pole, etc. respectively. The frequency with the zero value is always a zero. In this paper the method was applied in order to structural modiffication of the torsionally vibrating mechanical system with cascade structure. This is the method of decomposition of characteristics into continued fraction expansion presented by Graphs.

Keywords: dynamical characteristic, hypergraph, cascade structure of mechanical system