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Electrical Circuit Analysis of Torsional Oscillations

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1 Author(s)
Pipes, Louis A. ; Graduate School of Engineering, Harvard University, Cambridge, Massachusetts

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The equivalence between the torsional oscillations of a general dynamical system and those of a certain electrical circuit is considered. This equivalence makes it possible to compute the behavior of the dynamical system by making use of some well‐known results of electrical circuit theory. It also makes it possible to determine the critical speeds and the response of the mechanical system by simple electrical measurements of the equivalent system. The forced oscillations of a damped multi‐disk system and those of continuous shafts are studied. The results may be applied by a mere change in notation to the analysis of the longitudinal oscillations of linear spring and mass systems as well as to that of the longitudinal oscillations of prismatic bars.

Published in:

Journal of Applied Physics  (Volume:14 ,  Issue: 7 )