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On Loeb's criterion of orbital stability of self-excited periodic motions | IEEE Conference Publication | IEEE Xplore

On Loeb's criterion of orbital stability of self-excited periodic motions


Abstract:

Loeb's criterion of orbital stability of periodic motions [1] is simple and convenient. It is based on the relationships between the Nyquist plot of the linear part of a ...Show More

Abstract:

Loeb's criterion of orbital stability of periodic motions [1] is simple and convenient. It is based on the relationships between the Nyquist plot of the linear part of a nonlinear system and the describing function (DF) of the nonlinearity. However, as shown in the present paper, the original proof is not flawless, as it is based on one assumption, which does not hold. A proof based on the dynamic harmonic balance (DHB) principle and further investigations into this criterion are offered in the present paper.
Date of Conference: 09-11 July 2018
Date Added to IEEE Xplore: 13 September 2018
ISBN Information:
Electronic ISSN: 2158-3986
Conference Location: Graz, Austria

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