On the periodic motions of a one-degree-of-freedom oscillator

Journal article (2023)

Authors

Robert Kooij DIANA FEA, Unit ICT, Network Architectures and Services - EEMCS
André Zegeling Guangxi Normal University
Research Group
Network Architectures and Services (EEMCS) (TU Delft)
Copyright: © 2023 Robert Kooij, André Zegeling
DOI: https://doi.org/10.1007/s40324-023-00335-3
More Info
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Published Date

2023

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Quantum & Computer Engineering

Research Group

Network Architectures and Services

Abstract

We present a mechanical model for an oscillator with one degree of freedom under the influence of a flowing medium. Under fairly general conditions we show that the ensuing differential equation has at most two limit cycles and we give examples where exactly two limit cycles will occur. The implications of this result are that it is possible for a system of this kind to exhibit galloping even when the so-called Den Hartog criterion of local instability is not satisfied.