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Rotor dynamics - four open questions

Kiciński Jan

Bulletin of the Polish Academy of Sciences. Technical Sciences

2021

Vol. 69, nr 6

art. no. e139791

Despite many years of development in the field of rotor dynamics, many issues still need to be resolved. This is due to the fact that turbomachines, even those with low output power, have a very complex design. The author of this article would like to signal these issues in the form of several questions, to which there are no precise answers. The questions are as follows: How can we build a coherent dynamic model of a turbomachine whose some subsystems have non-linear characteristics? How can we consider the so-called prehistory in our analysis, namely, the relation between future dynamic states and previous ones? Is heuristic modelling the future of rotor dynamics? What phenomena may occur when the stability limit of the system is exceeded? The attempt to find answers to these questions constitutes the subject of this article. There are obviously more similar questions, which encourage researchers from all over the world to further their research.

Non-linear model of the N2-laser excitation circuit

Niewierowicz T., Kawecki L., La Rosa J.

Control and Cybernetics

2001

Vol. 30, no 2

177-189

This paper presents a non-linear model of the Blumlein circuit for the excitation of an N2-laser that leads to a high order integer-differential equation system where each of the two discharges (the spark gap and the laser chamber) taking place in the circuit are simulated by an inductance and a resistance connected in series. The inductance and the resistance of each loop are considered current dependent and their time behaviour is found by means of a parametric identification method based on the voltages measured in the charge capacitors. A comparison between two representations of the induced emf in the different loops of the circuit is used. The first one is based on the dynamical (or derivative) inductivity and the second one on the statical (or integrative) inductivity. A Gauss-Seidel algorithm for the parametric identification was used.